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Thermodynamic precision of a chain of motors: the difference between phase and noise correlation J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-27 G Costantini, A Puglisi
Inspired by recent experiments on fluctuations of flagellar beating in sperm and C. reinhardtii, we investigate the precision of phase fluctuations in a system of nearest-neighbor-coupled molecular motors. We model the system as a Kuramoto chain of oscillators with a coupling constant k and noisy driving. The precision p is a Fano-factor-like observable, which obeys the thermodynamic uncertainty relation
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The effect of lookahead on phase transition in migration of three species with cyclic predator–prey relations J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-27 O Kayacan, M Middendorf
A three-species predator–prey system with cyclic predator–prey relations (also called the rock–paper–scissors game) on a one-dimensional lattice where all individuals migrate in the same direction is studied. Each individual can look ahead within a certain range and can stop its migration when too many predators occur within its lookahead range. Simulation experiments revealed that the three species
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Modified Verhulst–Solow model for long-term population and economic growth J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-27 Iram Gleria, Sergio DaSilva, Leon Brenig, Tarcísio M Rocha Filho, Annibal Figueiredo
In this study, we analyze the relationship between human population growth and economic dynamics. To do so, we present a modified version of the Verhulst model and the Solow model, which together simulate population dynamics and the role of economic variables. The model incorporates support and foraging functions, which participate in the dynamic relationship between population growth and the creation
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Mobility and diffusion of intruders in granular suspensions: Einstein relation J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-26 Rubén Gómez González, Vicente Garzó
The Enskog kinetic equation is considered to determine the diffusion D and mobility λ transport coefficients of intruders immersed in a granular gas of inelastic hard spheres (grains). Intruders and grains are in contact with a thermal bath, which plays the role of a background gas. As usual, the influence of the latter on the dynamics of intruders and grains is accounted for via a viscous drag force
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Strategy revision phase with payoff threshold in the public goods game J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-21 Marco Alberto Javarone, Shaurya Pratap Singh
Commonly, the strategy revision phase in evolutionary games relies on payoff comparison. Namely, agents compare their payoff with the opponent, assessing whether changing strategy can be potentially convenient. Even tiny payoff differences can be crucial in this decision process. In this work, we study the dynamics of cooperation in the public goods game, introducing a threshold ε in the strategy revision
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An experimental study of pedestrian bidirectional flow through bottlenecks J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-21 Xinmiao Jia, Nan Jiang, Ping Zhang, Maoyu Li, Hanchen Yu, Xiaoyu Ju, Lizhong Yang
Pedestrian flow passing through bottlenecks is complex, particularly for opposite movement in a room with a single doorway. These bidirectional flows would always cause congestion and further reduce traffic efficiency so the ‘Disembarking precedes embarking’ rule is widely used in the actual management of public spaces. However, the impact of the imbalance of the bidirectional movement of pedestrian
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A simple probabilistic neural network for machine understanding J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-20 Rongrong Xie, Matteo Marsili
We discuss the concept of probabilistic neural networks with a fixed internal representation being models for machine understanding. Here, ‘understanding’ is interpretted as the ability to map data to an already existing representation which encodes an a priori organisation of the feature space. We derive the internal representation by requiring that it satisfies the principles of maximal relevance
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Extremal statistics for first-passage trajectories of drifted Brownian motion under stochastic resetting J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-19 Wusong Guo, Hao Yan, Hanshuang Chen
We study the extreme value statistics of first-passage trajectories generated from a one-dimensional drifted Brownian motion subject to stochastic resetting to the starting point with a constant rate r. Each stochastic trajectory starts from a positive position x 0 and terminates whenever the particle hits the origin for the first time. We obtain an exact expression for the marginal distribution Pr(M|x0)
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Brownian oscillator with time-dependent strength: a delta function protocol J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-19 Alex V Plyukhin
We consider a classical Brownian oscillator of mass m driven from an arbitrary initial state by varying the stiffness k(t) of the harmonic potential according to the protocol k(t)=k0+aδ(t) , involving the Dirac delta function. The microscopic work performed on the oscillator is shown to be W=(a2/2m)q2−aqv , where q and v are the coordinate and velocity in the initial state. If the initial distribution
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Hydrodynamic properties of the perfect hard-sphere crystal: microscopic computations with Helfand moments J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-15 Joël Mabillard, Pierre Gaspard
Within the framework of the local equilibrium approach, the equilibrium and nonequilibrium properties relevant to the hydrodynamics of the perfect hard-sphere crystal were obtained through molecular dynamics simulations using the Helfand moments associated with momentum and energy transport. Because this crystal is face-centered cubic, the hydrodynamic properties we considered were hydrostatic pressure
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The ghost algebra and the dilute ghost algebra J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-13 Madeline Nurcombe
We introduce the ghost algebra, a two-boundary generalisation of the Temperley–Lieb (TL) algebra, using a diagrammatic presentation. The existing two-boundary TL algebra has a basis of string diagrams with two boundaries, and the number of strings connected to each boundary must be even; in the ghost algebra, this number may be odd. To preserve associativity while allowing boundary-to-boundary strings
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The physical mechanism of stochastic calculus in random walks J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-13 Chern Lee, Hai Ye, Hui Li
Stochastic differential equations (SDEs) play an important role in fields ranging from physics and biology to economics. The interpretation of stochastic calculus in the presence of multiplicative noise continues to be an open question. Commonly, the choice of stochastic calculus rules is largely based on empirical knowledge and lacks quantitative substantiation. In this study, we introduce a functional
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Constructing universal phenomenology for biological cellular systems: an idiosyncratic review on evolutionary dimensional reduction J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-13 Kunihiko Kaneko
The possibility of establishing a macroscopic phenomenological theory for biological systems, akin to the well-established framework of thermodynamics, is briefly reviewed. We introduce the concept of an evolutionary fluctuation–response relationship, which highlights the tight correlation between the variance in phenotypic traits caused by genetic mutations and by internal noise. We provide a distribution
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Critical and tricritical singularities from small-scale Monte Carlo simulations: the Blume–Capel model in two dimensions J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-12 Leïla Moueddene, Nikolaos G Fytas, Yurij Holovatch, Ralph Kenna, Bertrand Berche
We show that accurate insights into the critical properties of the Blume–Capel model at two dimensions can be deduced from Monte Carlo simulations, even for small system sizes, when one analyses the behaviour of the zeros of the partition function. The phase diagram of the model displays a line of second-order phase transitions ending at a tricritical point, then a line of first-order transitions.
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Effect of network topologies and attacking strategies on cascading failure model with power-law load redistribution J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-09 Yiran Xie, Tingyu Wang, Bo Yang
Various traffic networks play an important role in daily life and have different topological characteristics such as small-world and scale-free. The factors of traffic congestion, natural disasters and traffic accidents may induce cascading failure in which the load redistribution usually has the characteristic of power-law (that is to say, when a station is broken, the great majority of passengers
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Prethermalization in an open quantum system coupled to a spatially correlated bosonic bath J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-09 Saptarshi Saha, Rangeet Bhattacharyya
A nearly-integrable isolated quantum many-body system reaches a quasi-stationary prethermal state before a late thermalization. Here, we revisit a particular example in the settings of an open quantum system (OQS). We consider a collection of non-interacting atoms coupled to a spatially correlated bosonic bath characterized by a bath correlation length. Our result implies that the integrability of
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Stretched exponential to power-law: crossover of relaxation in a kinetically constrained model J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-09 Sukanta Mukherjee, Puneet Pareek, Mustansir Barma, Saroj Kumar Nandi
The autocorrelation function in many complex systems shows a crossover in the form of its decay: from a stretched exponential relaxation (SER) at short times to a power law at long times. Studies of the mechanisms leading to such multiple relaxation patterns are rare. Additionally, the inherent complexity of these systems makes it hard to understand the underlying mechanism leading to the crossover
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The physical logic of protein machines J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-08 John M McBride, Tsvi Tlusty
Proteins are intricate molecular machines whose complexity arises from the heterogeneity of the amino acid building blocks and their dynamic network of many-body interactions. These nanomachines gain function when put in the context of a whole organism through interaction with other inhabitants of the biological realm. And this functionality shapes their evolutionary histories through intertwined paths
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Analytical expression of negative differential thermal resistance in a macroscopic heterojunction J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-06 Wataru Kobayashi
Heat flux (J) generally increases with temperature difference in a material. A differential coefficient of J against temperature (T) is called differential thermal conductance (k), and an inverse of k is differential thermal resistance (r). Although k and r are generally positive, they can be negative in a macroscopic heterojunction with positive T-dependent interfacial thermal resistance (ITR). The
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Visualizing high-dimensional loss landscapes with Hessian directions J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-06 Lucas Böttcher, Gregory Wheeler
Analyzing the geometric properties of high-dimensional loss functions, such as local curvature and the existence of other optima around a certain point in loss space, can help provide a better understanding of the interplay between neural-network structure, implementation attributes, and learning performance. In this paper, we combine concepts from high-dimensional probability and differential geometry
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Two-point functions of random-length random walk on high-dimensional boxes J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-02 Youjin Deng, Timothy M Garoni, Jens Grimm, Zongzheng Zhou
We study the two-point functions of a general class of random-length random walks (RLRWs) on finite boxes in Zd with d⩾3 , and provide precise asymptotics for their behaviour. We show that in a finite box of side length L, the two-point function is asymptotic to the infinite-lattice two-point function when the typical walk length is o(L2) , but develops a plateau when the typical walk length is Ω(L2)
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The local persistence length of semi-flexible self-avoiding walks on the square lattice J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-02 I Živić, S Elezović-Hadžić
By applying the pruned-enriched Rosenbluth Monte Carlo simulation method, we have studied the local persistence length of semi-flexible linear polymers presented by self-avoiding walks (SAWs) on the square lattice, where the stiffness property is characterised by the weight s assigned to each bend of the walk. In this model, the local persistence length λN(k) of N-step SAWs is formulated as an ensemble
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Radial evolution in a reaction–diffusion model J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-02 Sofia M Silveira, Sidiney G Alves
In this work, we investigate an off-lattice version of the diffusion-reaction model, A+A↔A . We consider extensive numerical simulation of the radial system obtained from a single seed. Observed fluctuations in such an evolving system are characterized by a circular region occupied by particles growing over an empty one. We show that the fluctuating front separating the two regions belongs to the circular
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Non-equilibrium entanglement asymmetry for discrete groups: the example of the XY spin chain J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-02 Florent Ferro, Filiberto Ares, Pasquale Calabrese
Entanglement asymmetry is a novel quantity that, using entanglement methods, measures how much a symmetry is broken in a part of an extended quantum system. So far, it has only been used to characterise the breaking of continuous Abelian symmetries. In this paper, we extend the concept to cyclic ZN groups. As an application, we consider the XY spin chain, in which the ground state spontaneously breaks
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Universal scaling relations for growth phenomena J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-31 Evandro A Rodrigues, Edwin E Mozo Luis, Thiago A de Assis, Fernando A Oliveira
The Family–Vicsek (FV) relation is a seminal universal relation obtained for the global roughness at the interface of two media in the growth process. In this work, we revisit the scaling analysis and, through both analytical and computational means, show that the FV relation can be generalized to a new scaling independent of the size, substrate dimension d, and scaling exponents. We use the properties
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The effects of social distancing markers on single-file pedestrian movement during the pandemic J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-31 Tuantuan Lu, Pengfei Zhu
Social distancing markers placed on the floor are a commonly used measure by city authorities to remind pedestrians to keep a safe distance during the pandemic. However, little is known about the effects of social distancing markers on pedestrian dynamics. In this paper, we conducted a series of single-file experiments with and without social distancing markers under a prescribed social distance of
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Nonlinear generalized master equations: quantum case J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-31 Victor F Los
A system of N≫1 interacting spinless quantum particles, described by a statistical operator F(t), is considered. A time-dependent projection operator formalism for a family of projectors, which select a statistical operator FS(t) for a group of S < N relevant particles by integration of the variables of the irrelevant N − S ‘environment’ particles, is presented. This formalism results in a nonlinear
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Multi-stable hidden attractor chaotic system and its analog coexistence circuit realization J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-30 Qinfei Su, Chengwei Dong
This paper proposes a multi-stable chaotic system with relatively complex hidden attractors. The dynamic performance of chaotic systems is under investigation via numerical simulations such as Lyapunov exponents, division diagrams, and phase diagrams, and it has been further found that the chaotic system with hidden attractors can switch between the two cases of having no equilibrium or having two
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Long term behavior of the stirred vacuum on a Dirac chain: geometry blur and the random Slater ensemble J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-29 José Vinaixa, Begoña Mula, Alfredo Deaño, Silvia N Santalla, Javier Rodríguez-Laguna
We characterize the long-term state of the 1D Dirac vacuum stirred by an impenetrable object, modeled as the ground state of a finite free-fermionic chain dynamically perturbed by a moving classical obstacle which suppresses the local hopping amplitudes. We find two different regimes, depending on the velocity of the obstacle. For a slow motion, the effective Floquet Hamiltonian presents features which
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Large deviations and conditioning for chaotic non-invertible deterministic maps: analysis via the forward deterministic dynamics and the backward stochastic dynamics J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-29 Cécile Monthus
The large deviation properties of trajectory observables for chaotic non-invertible deterministic maps as studied recently by Smith (2022 Phys. Rev. E 106 L042202) and by Gutierrez et al (2023 arXiv:2304.13754) are revisited in order to analyze in detail the similarities and the differences with the case of stochastic Markov chains. More concretely, we focus on the simplest example displaying the two
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Kondo screening cloud scaling: impurity entanglement and magnetization J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-29 Erik S Sørensen
The screening of an impurity spin in the Kondo model occurs over a characteristic length scale ξ K , that defines the size of the Kondo screening cloud or ‘mist’. The presence of such a length scale in experimental and numerical results is rather subtle. A consistent way to show the presence of the screening cloud is to demonstrate scaling in the spatial correlations in terms of the single variable
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The extremality of disordered phases for the mixed spin-(1,1/2) Ising model on a Cayley tree of arbitrary order J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-29 Hasan Akin, Farrukh Mukhamedov
This paper continues the exploration of translation-invariant splitting Gibbs measures (TISGMs) within the framework of the Ising model with mixed spin-(1,1/2) (abbreviated as (1,1/2)-MSIM) on a Cayley tree of arbitrary order. Building upon our prior work (Akin and Mukhamedov 2022 J. Stat. Mech. 053204), where we extensively elucidated TISGMs and investigated the extremality of disordered phases employing
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Creating equilibrium glassy states via random particle bonding J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-24 Misaki Ozawa, Jean-Louis Barrat, Walter Kob, Francesco Zamponi
Creating amorphous solid states by randomly bonding an ensemble of dense liquid monomers is a common procedure that is used to create a variety of materials, such as epoxy resins, colloidal gels, and vitrimers. However, the properties of the resulting solid do a priori strongly depend on the preparation history. This can lead to substantial aging of the material; for example, properties such as mechanical
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Inverse problem in the conditioning of Markov processes on trajectory observables: what canonical conditionings can connect two given Markov generators? J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-23 Cécile Monthus
In the field of large deviations for stochastic dynamics, the canonical conditioning of a given Markov process with respect to a given time-local trajectory observable over a large time-window has attracted a lot of interest recently. In the present paper, we analyze the following inverse problem: when two Markov generators are given, is it possible to connect them via some canonical conditioning and
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An exactly solvable model of randomly pinned charge density waves in two dimensions J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-19 Matthew C O’Brien, Eduardo Fradkin
The nature of the interplay between fluctuations and quenched random disorder is a long-standing open problem, particularly in systems with a continuous order parameter. This lack of a full theoretical treatment has been underscored by recent advances in experiments on charge density wave materials. To address this problem, we formulate an exactly solvable model of a two-dimensional randomly pinned
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Entanglement asymmetry and quantum Mpemba effect in the XY spin chain J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-19 Sara Murciano, Filiberto Ares, Israel Klich, Pasquale Calabrese
Entanglement asymmetry is a quantity recently introduced to measure how much a symmetry is broken in a part of an extended quantum system. It has been employed to analyze the non-equilibrium dynamics of a broken symmetry after a global quantum quench with a Hamiltonian that preserves it. In this work, we carry out a comprehensive analysis of the entanglement asymmetry at equilibrium taking the ground
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Large deviations for trajectory observables of diffusion processes in dimension d > 1 in the double limit of large time and small diffusion coefficient J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-19 Cécile Monthus
For diffusion processes in dimension d > 1, the statistics of trajectory observables over the time-window [0,T] can be studied via the Feynman–Kac deformations of the Fokker–Planck generator, which can be interpreted as Euclidean non-Hermitian electromagnetic quantum Hamiltonians. It is interesting to compare the four regimes corresponding to the time T, either finite or large, and to the diffusion
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Statistical mechanics of the maximum-average submatrix problem J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-19 Vittorio Erba, Florent Krzakala, Rodrigo Pérez Ortiz, Lenka Zdeborová
We study the maximum-average submatrix problem, wherein given an N × N matrix J, one needs to find the k × k submatrix with the largest average number of entries. We investigate the problem for random matrices J, whose entries are i.i.d. random variables, by mapping it to a variant of the Sherrington–Kirkpatrick spin-glass model at fixed magnetisation. We analytically characterise the phase diagram
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Epidemic extinction in a simplicial susceptible-infected-susceptible model J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-17 Yingshan Guo, Chuansheng Shen, Hanshuang Chen
We study the extinction of epidemics in a simplicial susceptible-infected-susceptible model, where each susceptible individual becomes infected either by two-body interactions ( S+I→2I ) with a rate β or by three-body interactions ( S+2I→3I ) with a rate β(1+δ) , and each infected individual spontaneously recovers (I → S) with a rate µ. We focus on the case δ > 0 that embodies a synergistic reinforcement
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A broad class of nonlinear Langevin equations with drift and diffusion coefficients separable in time and space: generalized n-moment, ergodicity, Einstein relation, and fluctuations of the system J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-17 Kwok Sau Fa, Salete Pianegonda
An extensive class of nonlinear Langevin equations with drift and diffusion coefficients separable in time and space driven by Gaussian white noise is analyzed in terms of a generalized n-moment. We show that the system may exhibit an ergodic property, a key property in statistical mechanics, for space-time-dependent drift and diffusion coefficients. A generalized Einstein relation is also obtained
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Eigenvector dreaming J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-17 Marco Benedetti, Louis Carillo, Enzo Marinari, Marc Mézard
Among the performance-enhancing procedures for Hopfield-type networks that implement associative memory, Hebbian unlearning (HU) (or dreaming) strikes for its simplicity and lucid biological interpretation. However, it does not easily lend to a clear analytical understanding. Here, we show how HU can be efficiently described in terms of the evolution of the spectrum and the eigenvectors (EVs) of the
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Brownian fluctuations of kinetic energy under Lorentz force J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-17 Pedro V Paraguassú
In stochastic thermodynamics, significant attention has been given to studying the statistical behavior of thermodynamic quantities, such as heat and work. However, fluctuations in other quantities, such as kinetic energy and internal energy, can also exhibit intriguing statistical properties. In this study, we investigate the fluctuations of kinetic energy within an initially equilibrated underdamped
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Manifest modular invariance in the near-critical Ising model J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-17 Marcus Berg
Using recent results in mathematics, I point out that free energies and scale-dependent central charges away from criticality can be represented in compact form where modular invariance is manifest. The main example is the near-critical Ising model on a thermal torus, but the methods are not restricted to modular symmetry, and apply to automorphic symmetries more generally. One application is finite-size
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Resolving degeneracies in Google search via quantum stochastic walks J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-16 Colin Benjamin, Naini Dudhe
The internet is one of the most valuable technologies invented to date. Among them, Google is the most widely used search engine. The PageRank algorithm is the backbone of Google search, ranking web pages according to relevance and recency. We employ quantum stochastic walks (QSWs) with the hope of bettering the classical PageRank (CPR) algorithm, which is based on classical continuous time random
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Monte Carlo study for the thermodynamic and dynamic phase transitions in the spin-S Ising model on Sierpiński carpet J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-12 Hoseung Jang, Mouhcine Azhari, Unjong Yu
We study the thermodynamic and dynamic phase transitions (TPT and DPT) of the spin- 1/2 and spin-1 Ising models on three graphs constructed on the Sierpiński carpet. This study employs Monte Carlo methods, specifically the Wolff and Metropolis algorithms, in conjunction with finite-size scaling analysis. By calculating the critical temperature and critical exponent ratio γ/ν associated with the TPT
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Jordan decomposition of non-Hermitian fermionic quadratic forms J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-12 Shunta Kitahama, Hironobu Yoshida, Ryo Toyota, Hosho Katsura
We give a rigorous proof of conjecture 3.1 by Prosen (2010 J. Stat. Mech. 2010 P07020) on the nilpotent part of the Jordan decomposition of a quadratic fermionic Liouvillian. We also show that the number of Jordan blocks of each size can be expressed in terms of the coefficients of a polynomial called the q-binomial coefficient, and describe the procedure for obtaining the Jordan canonical form of
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Structure of persistently prominent stocks in financial dynamics J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-12 Tian Qiu, Xiao-Wen Sun, Guang Chen, Li-Xin Zhong
Prominent components of financial markets have been identified in previous studies using random matrix theory. However, these studies are typically conducted based on static periods. Although these components may dominate during certain periods, they may not necessarily maintain dominance. In financial dynamics, it is important to understand how dominant components persist. In this study, we reveal
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Multiscaling in the 3D critical site-diluted Ising ferromagnet J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-12 E Marinari, V Martin-Mayor, G Parisi, F Ricci-Tersenghi, J J Ruiz-Lorenzo
We study numerically the appearance of multiscaling behavior in the 3D ferromagnetic Ising site-diluted model, in the form of a multifractal distribution of the decay exponents for the spatial correlation functions at the critical temperature. We have computed the exponents of the long-distance decay of higher moments of the correlation function, up to the 10th power, by studying three different quantities:
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Confined granular gases under the influence of vibrating walls J. Stat. Mech. (IF 2.4) Pub Date : 2023-12-29 M Mayo, J C Petit, M I García de Soria, P Maynar
In this paper we study the dynamics of a system composed of inelastic hard spheres or disks that are confined between two parallel vertically vibrating walls (the vertical direction is defined as the direction perpendicular to the walls). The distance between the two walls is supposed to be larger than twice the diameter of the particles so that the particles can pass over each other, but is still
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Improved mean-field dynamical equations are able to detect the two-step relaxation in glassy dynamics at low temperatures J. Stat. Mech. (IF 2.4) Pub Date : 2023-12-18 David Machado, Roberto Mulet, Federico Ricci-Tersenghi
We study the stochastic relaxation dynamics of the Ising p-spin model on a random graph, which is a well-known model with glassy dynamics at low temperatures. We introduce and discuss a new closure scheme for the master equation governing the continuous-time relaxation of the system, which translates into a set of differential equations for the evolution of local probabilities. The solution to these
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Wavelet representation of hardcore bosons J. Stat. Mech. (IF 2.4) Pub Date : 2023-12-18 Etienne Granet
We consider the one-dimensional Tonks–Girardeau gas with a space-dependent potential out of equilibrium. We derive the exact dynamics of the system when divided into n boxes and decomposed into energy eigenstates within each box. It is a representation of the wave function that is a mixture between real space and momentum space, with basis elements consisting of plane waves localized in a box, giving
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Fluctuation relation in continuous-time random walks driven by an external field J. Stat. Mech. (IF 2.4) Pub Date : 2023-12-18 Kazuhiko Seki
We study a fluctuation relation representing a non-equilibrium equality indicating that the ratio between the distribution of trajectories obtained by exchanging the initial and final positions is characterized by free energy differences for the duration of the trajectories. We examine the fluctuation relation for noninteracting charge carriers driven by an external electric field by using a continuous-time
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Statistical field theory of mechanical stresses in Coulomb fluids: general covariant approach vs Noether’s theorem J. Stat. Mech. (IF 2.4) Pub Date : 2023-12-18 Petr E Brandyshev, Yury A Budkov
In this paper, we introduce a statistical field theory that describes the macroscopic mechanical forces in inhomogeneous Coulomb fluids. Our approach employs the generalization of Noether’s first theorem for the case of a fluctuating order parameter to calculate the stress tensor for Coulomb fluids. This tensor encompasses the mean-field stress tensor and fluctuation corrections derived through the
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Effect of behavioral changes on epidemic spreading in coupled simplicial activity driven networks J. Stat. Mech. (IF 2.4) Pub Date : 2023-12-18 Shuai Huang, Yuan-Hao Xu, Meng-Yu Li, Mao-Bin Hu
Despite intensive studies on the epidemic spreading problem in social networks, both intra-group and inter-group interactions are represented as dyadic links. In this study, using coupled simplicial activity driven networks, we examine the impact of behavioral modification on epidemic propagation while taking into account various intra-group and inter-group interactions. The intra-group interactions
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Dimensional reduction of dynamical systems by machine learning: automatic generation of the optimum extensive variables and their time-evolution map J. Stat. Mech. (IF 2.4) Pub Date : 2023-12-18 Tomoaki Nogawa
A framework is proposed to generate a phenomenological model that extracts the essence of a dynamical system (DS) with large degrees of freedom using machine learning. For a given microscopic DS, the optimum transformation to a small number of macroscopic variables, which is expected to be extensive, and the rule of time evolution that the variables obey are simultaneously identified. The utility of
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A run-and-tumble particle around a spherical obstacle: the steady-state distribution far-from-equilibrium J. Stat. Mech. (IF 2.4) Pub Date : 2023-12-12 Thibaut Arnoulx de Pirey, Frédéric van Wijland
We investigate the steady-state distribution function of a run-and-tumble particle (RTP) evolving around a repulsive hard spherical obstacle. We demonstrate that the well-documented activity-induced attraction translates into a delta-peak accumulation at the obstacle’s surface accompanied by an algebraic divergence of the density profile close to the obstacle. We obtain the full form of the distribution
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Metropolis Monte Carlo sampling: convergence, localization transition and optimality J. Stat. Mech. (IF 2.4) Pub Date : 2023-12-12 Alexei D Chepelianskii, Satya N Majumdar, Hendrik Schawe, Emmanuel Trizac
Among random sampling methods, Markov chain Monte Carlo (MC) algorithms are foremost. Using a combination of analytical and numerical approaches, we study their convergence properties toward the steady state, within a random walk Metropolis scheme. Analyzing the relaxation properties of some model algorithms sufficiently simple to enable analytic progress, we show that the deviations from the target
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Anisotropy of field-controlled shear viscosity of dipolar fluids J. Stat. Mech. (IF 2.4) Pub Date : 2023-12-11 Christopher D Fjeldstad, Faezeh Pousaneh, Roberto E Troncoso, Astrid S de Wijn
We numerically study the anisotropic viscous response of dipolar hard spheres in the presence of an electric field. We find that the shear viscosity is sensitive to both the strength and orientation of the field relative to the shearing direction. The effect on the viscosity is strongest when the field is oriented in the shear gradient direction. We investigate the structure of the fluid in detail
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Short-time large deviations of the spatially averaged height of a Kardar–Parisi–Zhang interface on a ring J. Stat. Mech. (IF 2.4) Pub Date : 2023-12-08 Timo Schorlepp, Pavel Sasorov, Baruch Meerson
Using the optimal fluctuation method, we evaluate the short-time probability distribution P(Hˉ,L,t=T) of the spatially averaged height Hˉ=(1/L)∫0Lh(x,t=T)dx of a one-dimensional interface h(x,t) governed by the Kardar–Parisi–Zhang equation ∂th=ν∂x2h+λ2∂xh2+Dξx,t on a ring of length L. The process starts from a flat interface, h(x,t=0)=0 . Both at λHˉ<0 and at sufficiently small positive λHˉ the optimal
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Random-search efficiency in a bounded interval with spatially heterogeneous diffusion coefficient J. Stat. Mech. (IF 2.4) Pub Date : 2023-12-08 L Menon Jr, M A F dos Santos, C Anteneodo
We consider random walkers searching for a target in a bounded 1D heterogeneous environment, in the interval [0,L] , where diffusion is described by a space-dependent diffusion coefficient D(x). Boundary conditions are absorbing at the position of the target (set at x = 0) and reflecting at the border x = L. We calculate and compare the estimates of efficiency ε1=⟨1/t⟩ and ε2=1/⟨t⟩ . In the Stratonovich