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Fast Dimension Spectrum for a Potential with a Logarithmic Singularity J. Stat. Phys. (IF 1.6) Pub Date : 2024-03-15 Philipp Gohlke, Georgios Lamprinakis, Jörg Schmeling
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A Gallery of Maximum-Entropy Distributions: 14 and 21 Moments J. Stat. Phys. (IF 1.6) Pub Date : 2024-03-13 Stefano Boccelli, Fabien Giroux, James G. McDonald
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On the Distances Within Cliques in a Soft Random Geometric Graph J. Stat. Phys. (IF 1.6) Pub Date : 2024-03-07 Ercan Sönmez, Clara Stegehuis
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Persistence Probabilities of a Smooth Self-Similar Anomalous Diffusion Process J. Stat. Phys. (IF 1.6) Pub Date : 2024-03-06 Frank Aurzada, Pascal Mittenbühler
We consider the persistence probability of a certain fractional Gaussian process \(M^H\) that appears in the Mandelbrot-van Ness representation of fractional Brownian motion. This process is self-similar and smooth. We show that the persistence exponent of \(M^H\) exists, is positive and continuous in the Hurst parameter H. Further, the asymptotic behaviour of the persistence exponent for \(H\downarrow
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Stability of Charge Density Waves in Electron–Phonon Systems J. Stat. Phys. (IF 1.6) Pub Date : 2024-03-06 Tadahiro Miyao
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Multicyclic Norias: A First-Transition Approach to Extreme Values of the Currents J. Stat. Phys. (IF 1.6) Pub Date : 2024-03-05 Matteo Polettini, Izaak Neri
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Decay of the Green’s Function of the Fractional Anderson Model and Connection to Long-Range SAW J. Stat. Phys. (IF 1.6) Pub Date : 2024-03-05 Margherita Disertori, Roberto Maturana Escobar, Constanza Rojas-Molina
We prove a connection between the Green’s function of the fractional Anderson model and the two point function of a self-avoiding random walk with long range jumps, adapting a strategy proposed by Schenker in 2015. This connection allows us to exploit results from the theory of self-avoiding random walks to improve previous bounds known for the fractional Anderson model at strong disorder. In particular
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Work, Heat and Internal Energy in Open Quantum Systems: A Comparison of Four Approaches from the Autonomous System Framework J. Stat. Phys. (IF 1.6) Pub Date : 2024-03-05
Abstract We compare definitions of the internal energy of an open quantum system and strategies to split the internal energy into work and heat contributions as given by four different approaches from the autonomous system framework. Our discussion focuses on methods that allow for arbitrary environments (not just heat baths) and driving by a quantum mechanical system. As a simple application we consider
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Compactness Property of the Linearized Boltzmann Collision Operator for a Mixture of Monatomic and Polyatomic Species J. Stat. Phys. (IF 1.6) Pub Date : 2024-02-26 Niclas Bernhoff
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Metric Mean Dimension via Preimage Structures J. Stat. Phys. (IF 1.6) Pub Date : 2024-02-25 Chunlin Liu, Fagner B. Rodrigues
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On the Behaviour of a Periodically Forced and Thermostatted Harmonic Chain J. Stat. Phys. (IF 1.6) Pub Date : 2024-02-24 Pedro L. Garrido, Tomasz Komorowski, Joel L. Lebowitz, Stefano Olla
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Optimization Algorithms for Multi-species Spherical Spin Glasses J. Stat. Phys. (IF 1.6) Pub Date : 2024-02-24 Brice Huang, Mark Sellke
This paper develops approximate message passing algorithms to optimize multi-species spherical spin glasses. We first show how to efficiently achieve the algorithmic threshold energy identified in our companion work (Huang and Sellke in arXiv preprint, 2023. arXiv:2303.12172), thus confirming that the Lipschitz hardness result proved therein is tight. Next we give two generalized algorithms which produce
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Griffiths-Type Theorems for Short-Range Spin Glass Models J. Stat. Phys. (IF 1.6) Pub Date : 2024-02-23 Chigak Itoi, Hisamitsu Mukaida, Hal Tasaki
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Irregular Gyration of a Two-Dimensional Random-Acceleration Process in a Confining Potential J. Stat. Phys. (IF 1.6) Pub Date : 2024-02-23
Abstract We study the stochastic dynamics of a two-dimensional particle whose coordinates are described by two coupled one-dimensional random-acceleration processes, that evolve in a confining parabolic potential and are subject to independent Gaussian white noises with different amplitudes (temperatures). We first determine standard characteristics: the mixed moments of positions and velocities, as
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On a Class of Solvable Stationary Non Equilibrium States for Mass Exchange Models J. Stat. Phys. (IF 1.6) Pub Date : 2024-02-21
Abstract We consider a family of models having an arbitrary positive amount of mass on each site and randomly exchanging an arbitrary amount of mass with nearest neighbor sites. We restrict to the case of diffusive models. We identify a class of reversible models for which the product invariant measure is known and the gradient condition is satisfied so that we can explicitly compute the transport
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A Localization–Delocalization Transition for Nonhomogeneous Random Matrices J. Stat. Phys. (IF 1.6) Pub Date : 2024-02-21
Abstract We consider \(N\times N\) self-adjoint Gaussian random matrices defined by an arbitrary deterministic sparsity pattern with d nonzero entries per row. We show that such random matrices exhibit a canonical localization–delocalization transition near the edge of the spectrum: when \(d\gg \log N\) the random matrix possesses a delocalized approximate top eigenvector, while when \(d\ll \log N\)
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Optimal Total Variation Bounds for Stochastic Differential Delay Equations with Small Noises J. Stat. Phys. (IF 1.6) Pub Date : 2024-02-21 Nguyen Tien Dung, Nguyen Thu Hang, Tran Manh Cuong
In this paper, we study the central limit theorem for the solutions of stochastic differential delay equations with small noises. Our aim is to provide explicit estimates for the rate of convergence in total variation distance. We also show that the convergence rate is of optimal order.
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Study of the Hysteretic Response with Dilution and Quenched Spins in the Low Disorder Limit of the Random Field 3-State Clock Model at Zero Temperature J. Stat. Phys. (IF 1.6) Pub Date : 2024-02-20 R. S. Kharwanlang, Elisheba Syiem
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Averaging on Macroscopic Scales with Application to Smoluchowski–Kramers Approximation J. Stat. Phys. (IF 1.6) Pub Date : 2024-02-17 Mengmeng Wang, Dong Su, Wei Wang
This paper develops an averaging approach on macroscopic scales to derive Smoluchowski–Kramers approximation for a Langevin equation with state dependent friction in d-dimensional space. In this approach we couple the microscopic dynamics to the macroscopic scales. The weak convergence rate is also presented.
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The Dissipative Spectral Form Factor for I.I.D. Matrices J. Stat. Phys. (IF 1.6) Pub Date : 2024-02-15 Giorgio Cipolloni, Nicolo Grometto
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About the Optimal FPE for Non-linear 1d-SDE with Gaussian Noise: The Pitfall of the Perturbative Approach J. Stat. Phys. (IF 1.6) Pub Date : 2024-02-15 Marco Bianucci, Mauro Bologna, Riccardo Mannella
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On the Radius of Self-Repellent Fractional Brownian Motion J. Stat. Phys. (IF 1.6) Pub Date : 2024-01-31
Abstract We study the radius of gyration \(R_T\) of a self-repellent fractional Brownian motion \(\left\{ B^H_t\right\} _{0\le t\le T}\) taking values in \(\mathbb {R}^d\) . Our sharpest result is for \(d=1\) , where we find that with high probability, $$\begin{aligned} R_T \asymp T^\nu , \quad \text {with }\quad \nu =\frac{2}{3}\left( 1+H\right) . \end{aligned}$$ For \(d>1\) , we provide upper and
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Variational Structures Beyond Gradient Flows: a Macroscopic Fluctuation-Theory Perspective J. Stat. Phys. (IF 1.6) Pub Date : 2024-01-29 Robert I. A. Patterson, D. R. Michiel Renger, Upanshu Sharma
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High-Temperature Cluster Expansion for Classical and Quantum Spin Lattice Systems With Multi-Body Interactions J. Stat. Phys. (IF 1.6) Pub Date : 2024-01-28 Tong Xuan Nguyen, Roberto Fernández
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Brownian Particle in the Curl of 2-D Stochastic Heat Equations J. Stat. Phys. (IF 1.6) Pub Date : 2024-01-28 Guilherme de Lima Feltes, Hendrik Weber
We study the long time behaviour of a Brownian particle evolving in a dynamic random environment. Recently, Cannizzaro et al. (Ann Probab 50(6):2475–2498, 2022) proved sharp \(\sqrt{\log }\)-super diffusive bounds for a Brownian particle in the curl of (a regularisation of) the 2-D Gaussian Free Field (GFF) \(\underline{\omega }\). We consider a one parameter family of Markovian and Gaussian dynamic
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Central Limit Theorems and Moderate Deviations for Stochastic Reaction-Diffusion Lattice Systems J. Stat. Phys. (IF 1.6) Pub Date : 2024-01-28 Zhang Chen, Xiaoxiao Sun, Dandan Yang
This paper is concerned with the stochastic reaction-diffusion lattice systems defined on the entire set with both locally Lipschitz nonlinear drift and diffusion terms. The central limit theorem is derived for such infinite-dimensional stochastic systems. Moreover, the moderate deviation principle of solution processes is also established by the weak convergence method based on the variational representation
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Biased Dynamics of Langmuir Kinetics and Coupling on Exclusion Process J. Stat. Phys. (IF 1.6) Pub Date : 2024-01-28 S. Tamizhazhagan, Atul Kumar Verma
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Fixing the Flux: A Dual Approach to Computing Transport Coefficients J. Stat. Phys. (IF 1.6) Pub Date : 2024-01-28 N. Blassel, G. Stoltz
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Proof of Avoidability of the Quantum First-Order Transition in Transverse Magnetization in Quantum Annealing of Finite-Dimensional Spin Glasses J. Stat. Phys. (IF 1.6) Pub Date : 2024-01-28
Abstract It is rigorously shown that an appropriate quantum annealing for any finite-dimensional spin system has no quantum first-order transition in transverse magnetization. This result can be applied to finite-dimensional spin-glass systems, where the ground state search problem is known to be hard to solve. Consequently, it is strongly suggested that the quantum first-order transition in transverse
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Replica-Symmetry Breaking Transitions in the Large Deviations of the Ground-State of a Spherical Spin-Glass J. Stat. Phys. (IF 1.6) Pub Date : 2024-01-27 Bertrand Lacroix-A-Chez-Toine, Yan V. Fyodorov, Pierre Le Doussal
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Solvable Stationary Non Equilibrium States J. Stat. Phys. (IF 1.6) Pub Date : 2024-01-20 G. Carinci, C. Franceschini, D. Gabrielli, C. Giardinà, D. Tsagkarogiannis
We consider the one dimensional boundary driven harmonic model and its continuous version, both introduced in (Frassek et al. in J Stat Phys 180: 135–171, 2020). By combining duality and integrability the authors of (Frassek and Giardiná in J Math Phys 63: 103301, 2022) obtained the invariant measures in a combinatorial representation. Here we give an integral representation of the invariant measures
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The Cauchy Problem for Boltzmann Bi-linear Systems: The Mixing of Monatomic and Polyatomic Gases J. Stat. Phys. (IF 1.6) Pub Date : 2024-01-17
Abstract From a unified vision of vector valued solutions in weighted Banach spaces, this paper establishes the existence and uniqueness for space homogeneous Boltzmann bi-linear systems with conservative collisional forms arising in complex gas dynamical structures. This broader vision is directly applied to dilute multi-component gas mixtures composed of both monatomic and polyatomic gases. Such
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Effect of Cyclic Pure Shear on the Structural Transformation and Pore Size Redistribution of Athermal Porous Glasses J. Stat. Phys. (IF 1.6) Pub Date : 2024-01-03 Sucharita Niyogi, Bhaskar Sen Gupta
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On the Global Minimum of the Classical Potential Energy for Clusters Bound by Many-Body Forces J. Stat. Phys. (IF 1.6) Pub Date : 2024-01-04 Michael K.-H. Kiessling, David J. Wales
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Mesoscopic Averaging of the Two-Dimensional KPZ Equation J. Stat. Phys. (IF 1.6) Pub Date : 2023-12-29 Ran Tao
We study the limit of a local average of the KPZ equation in dimension \(d=2\) with general initial data in the subcritical regime. Our result shows that a proper spatial averaging of the KPZ equation converges in distribution to the sum of the solution to a deterministic KPZ equation and a Gaussian random variable that depends solely on the scale of averaging. This shows a unique mesoscopic averaging
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Occupancy Problems Related to the Generalized Stirling Numbers J. Stat. Phys. (IF 1.6) Pub Date : 2023-12-28 Thierry E. Huillet
We investigate the probabilistic relevance in both sampling problems and combinatorics of trees of the Generalized Stirling numbers, as studied in Hsu and Shiue (Adv Appl Math 20(3):366–384, 1998).
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Replicating a Renewal Process at Random Times J. Stat. Phys. (IF 1.6) Pub Date : 2023-12-28 Claude Godrèche, Jean-Marc Luck
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Loss of Stability in a 1D Spin Model with a Long-Range Random Hamiltonian J. Stat. Phys. (IF 1.6) Pub Date : 2023-12-28 Jorge Littin, Cesar Maldonado
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Percolation Thresholds for Spherical Aggregates: Impact of the Primary Particle Aspect Ratio J. Stat. Phys. (IF 1.6) Pub Date : 2023-12-22 Avik P. Chatterjee
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Returns to the Origin of the Pólya Walk with Stochastic Resetting J. Stat. Phys. (IF 1.6) Pub Date : 2023-12-23 Claude Godrèche, Jean-Marc Luck
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Two Directed Non-planar Random Networks and Their Scaling Limits J. Stat. Phys. (IF 1.6) Pub Date : 2023-12-19 Azadeh Parvaneh, Rahul Roy
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A Crossover Between Open Quantum Random Walks to Quantum Walks J. Stat. Phys. (IF 1.6) Pub Date : 2023-12-18 Norio Konno, Kaname Matsue, Etsuo Segawa
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Correlation Function of a Random Scalar Field Evolving with a Rapidly Fluctuating Gaussian Process J. Stat. Phys. (IF 1.6) Pub Date : 2023-12-18 Lingyun Ding, Richard M. McLaughlin
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A Proof of Finite Crystallization via Stratification J. Stat. Phys. (IF 1.6) Pub Date : 2023-12-12 Manuel Friedrich, Leonard Kreutz
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Hierarchical Cycle-Tree Packing Model for Optimal K-Core Attack J. Stat. Phys. (IF 1.6) Pub Date : 2023-12-12 Jianwen Zhou, Hai-Jun Zhou
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Mixing Rates of the Geometrical Neutral Lorenz Model J. Stat. Phys. (IF 1.6) Pub Date : 2023-12-08 Henk Bruin, Hector Homero Canales Farías
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The Gevrey Regularity for the Vlasov–Poisson–Landau and the Non-cutoff Vlasov–Poisson–Boltzmann Systems J. Stat. Phys. (IF 1.6) Pub Date : 2023-12-07 Hao Wang
We study the Vlasov–Poisson–Boltzmann system without angular cutoff and the Vlasov–Poisson–Landau system with all hard potentials in the perturbation setting, and establish the Gevrey smoothness in both spatial and velocity variables for a class of low-regularity weak solutions. This work extends the results by Duan–Li–Liu [16] for the pure Boltzmann equation to the case of the Vlasov–Poisson–Boltzmann/Landau
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A Hamiltonian Approach to Floating Barrier Option Pricing J. Stat. Phys. (IF 1.6) Pub Date : 2023-12-05 Qi Chen, Hong-tao Wang, Chao Guo
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Inducing Schemes with Finite Weighted Complexity J. Stat. Phys. (IF 1.6) Pub Date : 2023-11-25 Jianyu Chen, Fang Wang, Hong-Kun Zhang
In this paper, we consider a Borel measurable map of a compact metric space which admits an inducing scheme. Under the finite weighted complexity condition, we establish a thermodynamic formalism for a parameter family of potentials \(\varphi +t\psi \) in an interval containing \(t=0\). Furthermore, if there is a generating partition compatible to the inducing scheme, we show that all ergodic invariant
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Mathematical Aspects of the Digital Annealer’s Simulated Annealing Algorithm J. Stat. Phys. (IF 1.6) Pub Date : 2023-11-24 Bruno Hideki Fukushima-Kimura, Noe Kawamoto, Eitaro Noda, Akira Sakai
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The Boltzmann Equation with a Class of Large-Amplitude Initial Data and Specular Reflection Boundary Condition J. Stat. Phys. (IF 1.6) Pub Date : 2023-11-24 Renjun Duan, Gyounghun Ko, Donghyun Lee
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Multidimensional Lambert–Euler inversion and Vector-Multiplicative Coalescent Processes J. Stat. Phys. (IF 1.6) Pub Date : 2023-11-24 Yevgeniy Kovchegov, Peter T. Otto
In this paper we show the existence of the minimal solution to the multidimensional Lambert–Euler inversion, a multidimensional generalization of \([-e^{-1},0)\) branch of Lambert W function \(W_0(x)\). Specifically, for a given nonnegative irreducible symmetric matrix \(V \in \mathbb {R}^{k \times k}\) and a vector \(\textbf{u}\in (0,\infty )^k\), we show that, if the system of equations $$\begin{aligned}
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Equilibrium States for Partially Hyperbolic Maps with One-Dimensional Center J. Stat. Phys. (IF 1.6) Pub Date : 2023-11-25 Carlos F. Álvarez, Marisa Cantarino
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Rigorous Computation of Linear Response for Intermittent Maps J. Stat. Phys. (IF 1.6) Pub Date : 2023-11-24 Isaia Nisoli, Toby Taylor-Crush
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Identification of Network Topology Changes Based on r-Power Adjacency Matrix Entropy J. Stat. Phys. (IF 1.6) Pub Date : 2023-11-14 Keqiang Dong, Dan Li
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On Well-Posed Boundary Conditions for the Linear Non-Homogeneous Moment Equations in Half-Space J. Stat. Phys. (IF 1.6) Pub Date : 2023-11-13 Ruo Li, Yichen Yang
We investigate the boundary conditions that ensure the well-posedness of the linear non-homogeneous Grad moment equations in half-space. The Grad moment system is based on a Hermite expansion and regarded as an efficient reduced model of the Boltzmann equation. At a solid wall, the moment equations are commonly equipped with a Maxwell-type boundary condition named the Grad boundary condition. We point
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Relativistic Stochastic Mechanics II: Reduced Fokker-Planck Equation in Curved Spacetime J. Stat. Phys. (IF 1.6) Pub Date : 2023-11-07 Yifan Cai, Tao Wang, Liu Zhao
The general covariant Fokker-Planck equations associated with the two different versions of covariant Langevin equation in Part I of this series of work are derived, both lead to the same reduced Fokker-Planck equation for the non-normalized one particle distribution function (1PDF). The relationship between various distribution functions is clarified in this process. Several macroscopic quantities
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Dynamics of Finite Inhomogeneous Particle Systems with Exclusion Interaction J. Stat. Phys. (IF 1.6) Pub Date : 2023-11-11 Vadim Malyshev, Mikhail Menshikov, Serguei Popov, Andrew Wade
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Moment Propagation of the Plasma-Charge Model with a Time-Varying Magnetic Field J. Stat. Phys. (IF 1.6) Pub Date : 2023-11-11 Jingpeng Wu, Xianwen Zhang
In this paper, we prove the global existence and moment propagation of weak solutions for the repulsive plasma-charge model with a time-varying magnetic field. Multi-point charges are allowed according to an improved mechanism to compensate the asymmetry caused by the point charges, which brings us back to the standard Lions-Perthame’s argument. To deal with two type singularities induced by the point
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Time Delay Statistics for Chaotic Cavities with Absorption J. Stat. Phys. (IF 1.6) Pub Date : 2023-11-09 Marcel Novaes
We present a semiclassical approach for time delay statistics in quantum chaotic systems, in the presence of absorption, for broken time-reversal symmetry. We derive three kinds of expressions for Schur-moments of the time delay operator: as a power series in inverse channel number, 1/M, whose coefficients are rational functions of absorption time, \(\tau _a\); as a power series in \(\tau _a\), tailored