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Cosmic strings arising in a self-dual Abelian Higgs model J. Math. Phys. (IF 1.3) Pub Date : 2024-03-15 Lei Cao, Shouxin Chen
In this note we construct self-dual cosmic strings from an Abelian Higgs model in two-dimension with a polynomial formation of the potential energy density. By integrating the Einstein equations, we obtain an equivalent form to the sources, which is a nonlinear elliptic equation with singularities and complicated exponential terms. We prove the existence of a solution governing strings in the broken
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Exact solutions of Burgers equation with moving boundary J. Math. Phys. (IF 1.3) Pub Date : 2024-03-13 Eugenia N. Petropoulou, Mohammad Ferdows, Efstratios E. Tzirtzilakis
In this paper, new symmetry reductions and similarity solutions for Burgers equation with moving boundary are obtained by means of Lie’s method of infinitesimal transformation groups, for a linearly moving boundary as well as a parabolically moving boundary. By using discrete symmetries, new analytical solutions for the problem under consideration are presented, for two cases of the moving boundary:
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Convergence rates for the stationary and non-stationary Navier–Stokes equations over non-Lipschitz boundaries J. Math. Phys. (IF 1.3) Pub Date : 2024-03-11 Yiping Zhang
In this paper, we consider the convergence rates for the 2D stationary and non-stationary Navier–Stokes Equations over highly oscillating periodic bumpy John domains with C2 regularity in some neighborhood of the boundary point (0,0). For the stationary case, using the variational equation satisfied by the solution and the correctors for the bumpy John domains obtained by Higaki and Zhuge [Arch. Ration
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Summation formulas generated by Hilbert space eigenproblem J. Math. Phys. (IF 1.3) Pub Date : 2024-03-11 Petar Mali, Sonja Gombar, Slobodan Radošević, Milica Rutonjski, Milan Pantić, Milica Pavkov-Hrvojević
We demonstrate that certain classes of Schlömilch-like infinite series and series that include generalized hypergeometric functions can be calculated in closed form starting from a simple quantum model of a particle trapped inside an infinite potential well and using principles of quantum mechanics. We provide a general framework based on the Hilbert space eigenproblem that can be applied to different
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Local spectral optimisation for Robin problems with negative boundary parameter on quadrilaterals J. Math. Phys. (IF 1.3) Pub Date : 2024-03-11 James Larsen-Scott, Julie Clutterbuck
We investigate the Robin eigenvalue problem for the Laplacian with negative boundary parameter on quadrilateral domains of fixed area. In this paper, we prove that the square is a local maximiser of the first eigenvalue with respect to the Hausdorff metric. We also provide asymptotic results relating to the optimality of the square for extreme values of the Robin parameter.
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Large time behavior for the Hall-MHD equations with horizontal dissipation J. Math. Phys. (IF 1.3) Pub Date : 2024-03-08 Haifeng Shang
This paper examines the large time behavior of solutions to the 3D Hall-magnetohydrodynamic equations with horizontal dissipation. As preparations we establish the global well-posedness of solutions and their global explicitly uniform upper bounds for Hk (k ≥ 1) to this system with initial data small in H2. Furthermore, if the initial data also belongs to homogeneous negative Besov spaces, we prove
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On the self-overlap in vector spin glasses J. Math. Phys. (IF 1.3) Pub Date : 2024-03-07 Hong-Bin Chen
We consider vector spin glass models with self-overlap correction. Since the limit of free energy is an infimum, we use arguments analogous to those for generic models to show the following: (1) the averaged self-overlap converges; (2) the self-overlap concentrates; (3) the infimum optimizes over paths whose right endpoints are the limit of self-overlap. Lastly, using these, we directly verify the
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Some uncertainty principles for the quaternion Heisenberg group J. Math. Phys. (IF 1.3) Pub Date : 2024-03-06 Adil Bouhrara, Samir Kabbaj
Hardy type theorem with the Heisenberg–Pauli–Weyl inequality and the logarithmic uncertainty principle for the quaternion Heisenberg group are established.
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On Doob h-transformations for finite-time quantum state reduction J. Math. Phys. (IF 1.3) Pub Date : 2024-03-06 Levent Ali Mengütürk
The paper develops a finite-time quantum state reduction framework via the use of Lévy random bridges (LRBs) that can be understood as Doob h-transformations on Lévy processes. Building upon the non-anticipative semimartingale representation of LRBs, we propose a family of energy-driven stochastic Schrödinger equations that go beyond the purely-continuous Brownian motion setup, and enter the scope
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Stability of the gapless pure point spectrum of self-adjoint operators J. Math. Phys. (IF 1.3) Pub Date : 2024-03-05 Paolo Facchi, Marilena Ligabò
We consider a self-adjoint operator T on a separable Hilbert space, with pure-point and simple spectrum with accumulations at finite points. Explicit conditions are stated on the eigenvalues of T and on the bounded perturbation V ensuring the global stability of the spectral nature of T + ɛV, ε∈R.
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Asymptotic distribution of nodal intersections for ARW against a surface J. Math. Phys. (IF 1.3) Pub Date : 2024-03-05 Riccardo W. Maffucci, Maurizia Rossi
We investigate Gaussian Laplacian eigenfunctions (Arithmetic Random Waves) on the three-dimensional standard flat torus, in particular the asymptotic distribution of the nodal intersection length against a fixed regular reference surface. Expectation and variance have been addressed by Maffucci [Ann. Henri Poincaré 20(11), 3651–3691 (2019)] who found that the expected length is proportional to the
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QFT with tensorial and local degrees of freedom: Phase structure from functional renormalization J. Math. Phys. (IF 1.3) Pub Date : 2024-03-04 Joseph Ben Geloun, Andreas G. A. Pithis, Johannes Thürigen
Field theories with combinatorial non-local interactions such as tensor invariants are interesting candidates for describing a phase transition from discrete quantum-gravitational to continuum geometry. In the so-called cyclic-melonic potential approximation of a tensorial field theory on the r-dimensional torus it was recently shown using functional renormalization group techniques that no such phase
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Effective splitting of invariant measures for a stochastic reaction diffusion equation with multiplicative noise J. Math. Phys. (IF 1.3) Pub Date : 2024-03-04 Ting Lei, Guanggan Chen
This work is concerned with the effective dynamics for the stochastic reaction diffusion equations with cubic nonlinearity driven by a multiplicative noise. By splitting the solution into the finite dimension kernel space and its complement space with some appropriate multi-scale, it derives the dominant solution and the effective invariant measure in the sense of the Wasserstein distance, which capture
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Regularity and uniqueness of global solutions for the 3D compressible micropolar fluids J. Math. Phys. (IF 1.3) Pub Date : 2024-03-01 Mingyu Zhang
This paper concerns the regularity and uniqueness of 3D compressible micropolar fluids in the whole space R3. We first establish some new Lp gradient estimates of the solutions for the system, then by virtue of the “div-rot” decomposition technique, the key estimates ‖∇u‖L3 and ‖∇w‖L3 are obtained. As a result, the existence and uniqueness of global solutions belonging to a new class of functions are
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Global existence of the strong solution to the climate dynamics model with topography effects and phase transformation of water vapor J. Math. Phys. (IF 1.3) Pub Date : 2024-03-01 Ruxu Lian, Jieqiong Ma, Qingcun Zeng
This study investigates a climate dynamics model that incorporates topographical effects and the phase transformation of water vapor. The system comprises the Navier–Stokes equations, the temperature equation, the specific humidity equation, and the water content equation, all adhering to principles of energy conservation. Applying energy estimation methods, the Helmholtz–Weyl decomposition theorem
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Reconstruction techniques for complex potentials J. Math. Phys. (IF 1.3) Pub Date : 2024-03-01 Vladislav V. Kravchenko
An approach for solving a variety of inverse coefficient problems for the Sturm–Liouville equation −y″ + q(x)y = ρ2y with a complex valued potential q(x) is presented. It is based on Neumann series of Bessel functions representations for solutions. With their aid the problem is reduced to a system of linear algebraic equations for the coefficients of the representations. The potential is recovered
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L ∞ -structures and cohomology theory of compatible O-operators and compatible dendriform algebras J. Math. Phys. (IF 1.3) Pub Date : 2024-03-01 Apurba Das, Shuangjian Guo, Yufei Qin
The notion of O-operator is a generalization of the Rota–Baxter operator in the presence of a bimodule over an associative algebra. A compatible O-operator is a pair consisting of two O-operators satisfying a compatibility relation. A compatible O-operator algebra is an algebra together with a bimodule and a compatible O-operator. In this paper, we construct a graded Lie algebra and an L∞-algebra that
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WZW in the lightlike directions J. Math. Phys. (IF 1.3) Pub Date : 2024-03-01 Andreas Gustavsson
Dimensional reduction of the M5 brane on a Lorentzian manifold along a lightlike direction results in a five-dimensional gauge theory, which can be reformulated covariantly in six dimensions, where one puts the Lie derivatives along the lightlike direction of all fields to zero up to a gauge equivalence as constraints. We find gauge and supersymmetry anomalies for certain Lorentzian six-manifolds.
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Existence of solution for a class of fractional Hamiltonian-type elliptic systems with exponential critical growth in R J. Math. Phys. (IF 1.3) Pub Date : 2024-03-01 Shengbing Deng, Junwei Yu
In this paper, using the linking theorem and variational methods, we establish the existence of at least one positive solution for a class of fractional Hamiltonian-type elliptic systems with exponential critical growth in R.
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Entropy constraints for ground energy optimization J. Math. Phys. (IF 1.3) Pub Date : 2024-03-01 Hamza Fawzi, Omar Fawzi, Samuel O. Scalet
We study the use of von Neumann entropy constraints for obtaining lower bounds on the ground energy of quantum many-body systems. Known methods for obtaining certificates on the ground energy typically use consistency of local observables and are expressed as semidefinite programming relaxations. The local marginals defined by such a relaxation do not necessarily satisfy entropy inequalities that follow
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A class of exactly solvable real and complex PT symmetric reflectionless potentials J. Math. Phys. (IF 1.3) Pub Date : 2024-03-01 Suman Banerjee, Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandal
We consider the question of the number of exactly solvable complex but PT-invariant reflectionless potentials with N bound states. By carefully considering the Xm rationally extended reflectionless potentials, we argue that the total number of exactly solvable complex PT-invariant reflectionless potentials are 2[(2N − 1)m + N].
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Analysis of the chemical diffusion master equation for creation and mutual annihilation reactions J. Math. Phys. (IF 1.3) Pub Date : 2024-03-01 Alberto Lanconelli, Berk Tan Perçin
We propose an infinite dimensional generating function method for finding the analytical solution of the so-called chemical diffusion master equation (CDME) for creation and mutual annihilation chemical reactions. CDMEs model by means of an infinite system of coupled Fokker–Planck equations the probabilistic evolution of chemical reaction kinetics associated with spatial diffusion of individual particles;
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Multiple Landau level filling for a large magnetic field limit of 2D fermions J. Math. Phys. (IF 1.3) Pub Date : 2024-02-28 Denis Périce
Motivated by the quantum hall effect, we study N two dimensional interacting fermions in a large magnetic field limit. We work in a bounded domain, ensuring finite degeneracy of the Landau levels. In our regime, several levels are fully filled and inert: the density in these levels is constant. We derive a limiting mean-field and semi classical description of the physics in the last, partially filled
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Coulomb Green’s function and an addition formula for the Whittaker functions J. Math. Phys. (IF 1.3) Pub Date : 2024-02-28 Pavel Šťovíček
A series of the form ∑ℓ=0∞c(κ,ℓ)Mκ,ℓ+1/2(r0)Wκ,ℓ+1/2(r)Pℓ(cos(γ)) is evaluated explicitly where c(κ, ℓ) are suitable complex coefficients, Mκ,μ and Wκ,μ are the Whittaker functions, Pℓ are the Legendre polynomials, r0 < r are radial variables, γ is an angle and κ is a complex parameter. The sum depends, as far as the radial variables and the angle are concerned, on their combinations r + r0 and (r
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Matrix product states and the decay of quantum conditional mutual information J. Math. Phys. (IF 1.3) Pub Date : 2024-02-28 Pavel Svetlichnyy, Shivan Mittal, T. A. B. Kennedy
A uniform matrix product state defined on a tripartite system of spins, denoted by ABC, is shown to be an approximate quantum Markov chain when the size of subsystem B, denoted |B|, is large enough. The quantum conditional mutual information (QCMI) is investigated and proved to be bounded by a function proportional to exp(−q(|B| − K) + 2K ln |B|), with q and K computable constants. The properties of
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The surface counter-terms of the ϕ44 theory on the half space R+×R3 J. Math. Phys. (IF 1.3) Pub Date : 2024-02-28 Majdouline Borji, Christoph Kopper
In a previous work, we established perturbative renormalizability to all orders of the massive ϕ44-theory on a half-space also called the semi-infinite massive ϕ44-theory. Five counter-terms which are functions depending on the position in the space, were needed to make the theory finite. The aim of the present paper is to establish that for a particular choice of the renormalization conditions the
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Preimage pressure on subsets and multifractal analysis J. Math. Phys. (IF 1.3) Pub Date : 2024-02-27 Weisheng Wu, Xichen Zhang
In this paper, pointwise preimage pressures for (non-invertible) continuous maps on any subset (not necessarily compact or invariant) are introduced via Carathéodory-Pesin construction. A variational inequality for preimage pressure of saturated sets is then obtained. In particular, we prove that the preimage pressure of the set of generic points for an ergodic measure equals the metric preimage pressure
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Exact solutions for the probability density of various conditioned processes with an entrance boundary J. Math. Phys. (IF 1.3) Pub Date : 2024-02-23 Alain Mazzolo
The probability density is a fundamental quantity for characterizing diffusion processes. However, it is seldom known except in a few renowned cases, including Brownian motion and the Ornstein–Uhlenbeck process and their bridges, geometric Brownian motion, Brownian excursion, or Bessel processes. In this paper, we utilize Girsanov’s theorem, along with a variation of the method of images, to derive
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Negative flows for several integrable models J. Math. Phys. (IF 1.3) Pub Date : 2024-02-23 V. E. Adler
A construction of negative flows for integrable systems based on the Lax representation and squared eigenfunctions is proposed. Examples considered include the Boussinesq equation and its reduction to the Sawada–Kotera and Kaup–Kupershmidt equations; one of the Drinfeld–Sokolov systems and its reduction to the Krichever–Novikov equation.
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Dynamic property of a stochastic cooperative species system with distributed delays and Ornstein–Uhlenbeck process J. Math. Phys. (IF 1.3) Pub Date : 2024-02-20 Yaxin Zhou, Daqing Jiang
Scanning the whole writing, we discuss a stochastic cooperative species system with distributed delays under the influences of Ornstein–Uhlenbeck process of mean regression. We successfully obtain the existence and uniqueness of positive solutions for stochastic system at first. Secondly, by studying the Lyapunov function, we present the existence of the stationary distribution of the system. We are
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The Fokker–Planck–Boltzmann equation in the finite channel J. Math. Phys. (IF 1.3) Pub Date : 2024-02-16 Yuanjie Lei, Jing Zhang, Xueying Zhang
In this paper, we establish the existence of small-amplitude unique solutions near the Maxwellian for the Fokker–Planck–Boltzmann equation in a finite channel with specular reflection boundary conditions. The solution space we consider is denoted as Lk̄1LT∞Lx1,v2, introduced in Duan et al. [Commun. Pure Appl. Math. 74(5), 932–1020 (2021)]. In addition, we investigate the long-time behavior of solutions
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Continuation criterion for solutions to the Einstein equations J. Math. Phys. (IF 1.3) Pub Date : 2024-02-11 Oswaldo Vazquez, Puskar Mondal
We prove a continuation condition in the context of 3 + 1 dimensional vacuum Einstein gravity in Constant Mean extrinsic Curvature (CMC) gauge. More precisely, we obtain quantitative criteria under which the physical spacetime can be extended in the future indefinitely as a solution to the Cauchy problem of the Einstein equations given regular initial data. In particular, we show that a gauge-invariant
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Future stability of expanding spatially homogeneous FLRW solutions of the spherically symmetric Einstein–massless Vlasov system with spatial topology R3 J. Math. Phys. (IF 1.3) Pub Date : 2024-02-11 Martin Taylor
Spatially homogeneous Friedmann–Lemaître–Robertson–Walker (FLRW) solutions constitute an infinite dimensional family of explicit solutions of the Einstein–massless Vlasov system with vanishing cosmological constant. Each member expands toward the future at a decelerated rate. These solutions are shown to be nonlinearly future stable to compactly supported spherically symmetric perturbations, in the
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Wave propagation of a reaction-diffusion cholera model with hyperinfectious vibrios and spatio-temporal delay J. Math. Phys. (IF 1.3) Pub Date : 2024-02-11 Chenwei Song, Rui Xu
In this paper, we consider a reaction-diffusion cholera model with hyperinfectious vibrios and spatio-temporal delay. In the model, it is assumed that cholera has a fixed latent period and the latent individuals can diffuse, and a non-local term is incorporated to describe the mobility of individuals during the latent period. It is shown that the existence and nonexistence of traveling wave solutions
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Stochastic model for barrier crossings and fluctuations in local timescale J. Math. Phys. (IF 1.3) Pub Date : 2024-02-11 Rajeev Bhaskaran, Vijay Ganesh Sadhasivam
The problem of computing the rate of diffusion-aided activated barrier crossings between metastable states is one of broad relevance in physical sciences. The transition path formalism aims to compute the rate of these events by analysing the statistical properties of the transition path between the two metastable regions concerned. In this paper, we show that the transition path process is a unique
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Feynman–Kac formula for parabolic Anderson model in Gaussian potential and fractional white noise J. Math. Phys. (IF 1.3) Pub Date : 2024-02-11 Yuecai Han, Guanyu Wu
In this paper, we establish a Feynman–Kac formula for the stochastic parabolic Anderson model with Gaussian potential in space and fractional white noise in time with Hurst parameter H > 1/2. We obtain the necesscary and suffcient condition for the integrability of the Gaussian potential and the exponential integrability of the solution which is defined by Feynman–Kac formula. By the smoothing of the
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Generalised unitary group integrals of Ingham-Siegel and Fisher-Hartwig type J. Math. Phys. (IF 1.3) Pub Date : 2024-02-11 Gernot Akemann, Noah Aygün, Tim R. Würfel
We generalise well-known integrals of Ingham-Siegel and Fisher-Hartwig type over the unitary group U(N) with respect to Haar measure, for finite N and including fixed external matrices. When depending only on the eigenvalues of the unitary matrix, such integrals can be related to a Toeplitz determinant with jump singularities. After introducing fixed deterministic matrices as external sources, the
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Hasimoto frames and the Gibbs measure of the periodic nonlinear Schrödinger equation J. Math. Phys. (IF 1.3) Pub Date : 2024-02-11 Gordon Blower, Azadeh Khaleghi, Moe Kuchemann-Scales
The paper interprets the cubic nonlinear Schrödinger equation as a Hamiltonian system with infinite dimensional phase space. There exists a Gibbs measure which is invariant under the flow associated with the canonical equations of motion. The logarithmic Sobolev and concentration of measure inequalities hold for the Gibbs measures, and here are extended to the k-point correlation function and distributions
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On the integrable stretch-twist-fold flow: Bi-Hamiltonian structures and global dynamics J. Math. Phys. (IF 1.3) Pub Date : 2024-02-11 Mingxing Xu, Shaoyun Shi, Kaiyin Huang
The stretch-twist-fold (STF) flow is a variant of the dynamo model describing the generation and behavior of magnetic fields in celestial bodies such as stars and planets. This study seeks to provide fresh insights into the integrable STF flow within the framework of dynamical systems theory and Poisson geometry. Our results include (i) the establishment of Poisson structures, Hamilton–Poisson realizations
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Superintegrable quantum mechanical systems with position dependent masses invariant with respect to three parametric Lie groups J. Math. Phys. (IF 1.3) Pub Date : 2024-02-11 A. G. Nikitin
Quantum mechanical systems with position dependent masses (PDM) admitting four and more dimensional symmetry algebras are classified. Namely, all PDM systems are specified which, in addition to their invariance with respect to a three parametric Lie group, admit at least one second order integral of motion. The presented classification is partially extended to the more generic systems which admit one
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Global well-posedness of solutions for 2-D Klein–Gordon equations with exponential nonlinearity J. Math. Phys. (IF 1.3) Pub Date : 2024-02-04 Qiang Lin, Yue Pang, Xingchang Wang, Zhengsheng Xu
This paper considers the global well-posedness of two-dimensional Klein–Gordon equations with exponential nonlinearity. By employing the potential well method, we conduct a comprehensive study on the global existence and finite time blowup of solutions by the requirement of the initial energy at three different initial energy levels.
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Limiting dynamics of stochastic complex Ginzburg–Landau lattice systems with long-range interactions in weighted space J. Math. Phys. (IF 1.3) Pub Date : 2024-02-04 Xintao Li
This paper deals with the limiting dynamics of stochastic complex Ginzburg–Landau lattice systems with long-range interactions driven by nonlinear noise in a weighted space L2(Ω,lη2). We first consider the well-posedness of solutions for considered stochastic systems in the weighted space and then establish the existence and uniqueness of weak pullback mean random attractor in the weighted space.
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Generating spacetimes from colliding sources J. Math. Phys. (IF 1.3) Pub Date : 2024-02-04 M. Halilsoy, V. Memari
Certain well-known spacetimes of general relativity (GR) are generated from the collision of suitable null-sources coupled with gravitational waves. This is a classical process underlying the full nonlinearity of GR that may be considered as a method to derive many familiar spacetimes at a large scale. Schwarzschild, de Sitter, anti-de Sitter, and the γ-metrics are given as examples.
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Entanglement entropy bounds for droplet states of the XXZ model on the strip J. Math. Phys. (IF 1.3) Pub Date : 2024-02-04 Christoph Fischbacher, Lee Fisher
The scaling behavior of the entanglement entropy of droplet states in Heisenberg spin-1/2 XXZ model defined on a strip of width M under the presence of a non-negative background magnetic field is investigated. Without any assumptions on V, a logarithmically corrected area law is shown. Assuming that the values of V are i.i.d. random variables, an area law in expectation is obtained.
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The stationary distribution and density function of a stochastic SIRB cholera model with Ornstein–Uhlenbeck process J. Math. Phys. (IF 1.3) Pub Date : 2024-02-04 Buyu Wen, Qun Liu
Cholera is a global epidemic infectious disease that seriously endangers human life. It is disturbed by random factors in the process of transmission. Therefore, in this paper, a class of stochastic SIRB cholera model with Ornstein–Uhlenbeck process is established. On the basis of verifying that the model exists a unique global solution to any initial value, a sufficient criterion for the existence
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Double-exponential susceptibility growth in Dyson’s hierarchical model with |x − y|−2 interaction J. Math. Phys. (IF 1.3) Pub Date : 2024-02-04 Philip Easo, Tom Hutchcroft, Jana Kurrek
We study long-range percolation on the d-dimensional hierarchical lattice, in which each possible edge {x, y} is included independently at random with inclusion probability 1 − exp(−β ‖x − y‖−d−α), where α > 0 is fixed and β ≥ 0 is a parameter. This model is known to have a phase transition at some βc < ∞ if and only if α < d. We study the model in the regime α ≥ d, in which βc = ∞, and prove that
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Quasi-periodic solutions of n coupled Schrödinger equations with Liouvillean basic frequencies J. Math. Phys. (IF 1.3) Pub Date : 2024-02-01 Dongfeng Zhang, Junxiang Xu
In this paper we consider n coupled Schrödinger equations −d2ydt2+u(ωt)y=Ey,y∈Rn, where E=diag(λ12,…,λn2) is a diagonal matrix, u(ωt) is a real analytic quasi-periodic symmetric matrix. If the basic frequencies ω = (1, α), where α is irrational, it is proved that for most of sufficiently large λj, j = 1, …, n, all the solutions of n coupled Schrödinger equations are bounded. Furthermore, if the basic
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Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data J. Math. Phys. (IF 1.3) Pub Date : 2024-01-31 Ling Zhang, Bei-Bei Hu, Zu-Yi Shen
Recently, research about nonlocal integrable systems has become a popular topic. Here, we mainly use the Riemann–Hilbert (RH) approach to discuss the nonlocal complex modified Korteweg–de Vries (cmKdV) equation with step-like initial value. That is the Cauchy problem, i.e., we establish the analytical relation between the solutions r(z, t), r(−z, −t) of the nonlocal cmKdV equation and the solution
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Dubrovin–Frobenius manifold structures on the orbit space of the symmetric group J. Math. Phys. (IF 1.3) Pub Date : 2024-01-31 Yemo Wu, Dafeng Zuo
By choosing different Sl-invariant metrics, we show the existence of (l − 1) different Dubrovin–Frobenius manifold structures on the orbit space of the symmetric group and also construct Landau–Ginzburg superpotentials for these Dubrovin–Frobenius manifold structures.
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On the absence of shock waves and vacuum birefringence in Born–Infeld electrodynamics J. Math. Phys. (IF 1.3) Pub Date : 2024-01-30 Hedvika Kadlecová
We study the interaction of two counter–propagating electromagnetic waves in vacuum in the Born–Infeld electrodynamics. First we investigate the Born case for linearly polarized beams, E · B = 0, i.e., G2=0 (crossed field configuration), which is identical for Born–Infeld and Born electrodynamics; subsequently we study the general Born–Infeld case for beams which are nonlinearly polarized, G2≠0. In
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Simple modules over the Takiff Lie algebra for sl2 J. Math. Phys. (IF 1.3) Pub Date : 2024-01-30 Xiaoyu Zhu
In this paper, we construct, investigate and, in some cases, classify several new classes of (simple) modules over the Takiff sl2. More precisely, we first explicitly construct and classify, up to isomorphism, all modules over the Takiff sl2 that are Uh̄-free of rank one, where h̄ is a natural Cartan subalgebra of the Takiff sl2. These split into three general families of modules. The sufficient and
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Compositional quantum field theory: An axiomatic presentation J. Math. Phys. (IF 1.3) Pub Date : 2024-01-30 Robert Oeckl, Juan Orendain Almada
We introduce Compositional Quantum Field Theory (CQFT) as an axiomatic model of quantum field theory, based on the principles of locality and compositionality. Our model is a refinement of the axioms of general boundary quantum field theory, and is phrased in terms of correspondences between certain commuting diagrams of gluing identifications between manifolds and corresponding commuting diagrams
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Chern–Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connections J. Math. Phys. (IF 1.3) Pub Date : 2024-01-30 S. Capriotti
The purpose of this article is to study the correspondence between 3d-gravity and the Chern–Simons field theory from the perspective of geometric mechanics, specifically in the case where the structure group is the general affine group. To accomplish this, the paper discusses a variational problem of the Chern–Simons type on a principal fiber bundle with this group as its structure group. The connection
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Two types of universal characters and the integrable hierarchies J. Math. Phys. (IF 1.3) Pub Date : 2024-01-29 Rui An, Na Wang, Zhaowen Yan
In this paper, we propose two types of universal characters corresponding to partition shapes π = (3) and π = (2, 1) and construct their vertex operators realizations. It is proved that (3)-type and (2, 1)-type universal characters can be derived by the products of vertex operators acting on the identity. Furthermore, we investigate (3)-type and (2, 1)-type universal characters by means of Hamiltonian
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Existence and multiplicity results for parameter Kirchhoff double phase problem with Hardy–Sobolev exponents J. Math. Phys. (IF 1.3) Pub Date : 2024-01-29 Yu Cheng, Zhanbing Bai
The solvability of a class of parameter Kirchhoff double phase Dirichlet problems with Hardy–Sobolev terms is considered. We focus on the existence of at least one solution, two solutions, three solutions, and infinitely many solutions to the problem, as the nonlinear terms satisfy different growth conditions, respectively. Our tools are mainly based on variational methods and critical point theory
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An inverse nodal problem for a fourth-order self-adjoint binomial operator J. Math. Phys. (IF 1.3) Pub Date : 2024-01-25 Chuan-Fu Yang, Xin-Jian Xu, Ai-Wei Guan
In this work we deal with inverse nodal problems of reconstructing a fourth-order self-adjoint binomial operator d4dx4+q with Dirichlet boundary conditions. We prove that a dense subset of nodal points uniquely determines the potential function q.
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The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass J. Math. Phys. (IF 1.3) Pub Date : 2024-01-24 S. M. Nagiyev, A. M. Jafarova, E. I. Jafarov
We propose a phase-space representation concept in terms of the Wigner function for a quantum harmonic oscillator model that exhibits the semiconfinement effect through its mass varying with the position. The new method is used to compute the Wigner distribution function exactly for such a semiconfinement quantum system. This method suppresses the divergence of the integrand in the definition of the
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Semiclassical quantification of some two degree of freedom potentials: A differential Galois approach J. Math. Phys. (IF 1.3) Pub Date : 2024-01-24 Primitivo Acosta-Humánez, J. Tomás Lázaro, Juan J. Morales-Ruiz, Chara Pantazi
In this work we explain the relevance of the Differential Galois Theory in the semiclassical (or WKB) quantification of some two degree of freedom potentials. The key point is that the semiclassical path integral quantification around a particular solution depends on the variational equation around that solution: a very well-known object in dynamical systems and variational calculus. Then, as the variational
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The existence and asymptotic behavior of solutions to 3D viscous primitive equations with Caputo fractional time derivatives J. Math. Phys. (IF 1.3) Pub Date : 2024-01-24 Yejuan Wang, Yaping Liu, Tomás Caraballo
On the one hand, the primitive three-dimensional viscous equations for large-scale ocean and atmosphere dynamics are commonly used in weather and climate predictions. On the other hand, ever since the middle of the last century, it has been widely recognized that the climate variability exhibits long-time memory. In this paper, we first prove the global existence of weak solutions to the primitive
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Multiparticle singlet states cannot be maximally entangled for the bipartitions J. Math. Phys. (IF 1.3) Pub Date : 2024-01-24 Fabian Bernards, Otfried Gühne
One way to explore multiparticle entanglement is to ask for maximal entanglement with respect to different bipartitions, leading to the notion of absolutely maximally entangled states or perfect tensors. A different path uses unitary invariance and symmetries, resulting in the concept of multiparticle singlet states. We show that these two concepts are incompatible in the sense that the space of pure