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Entropy of Impulsive Semi-flow on Subsets 子集上脉冲半流的熵
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-10-14 DOI: 10.1007/s10955-024-03351-3
Dandan Cheng, Zhiming Li
{"title":"Entropy of Impulsive Semi-flow on Subsets","authors":"Dandan Cheng,&nbsp;Zhiming Li","doi":"10.1007/s10955-024-03351-3","DOIUrl":"10.1007/s10955-024-03351-3","url":null,"abstract":"<div><p>Based on the theory of Carathéodory structure, this paper introduces several definitions of entropies for impulsive semi-flows on arbitrary subsets. We compare these definitions and establish relations of these definitions. We show an inverse variational principle between topological <span>(tau )</span>-entropy and measure theoretic <span>(tau )</span>-entropy. Moreover, a variational principle of packing <span>(tau )</span> entropy of impulsive semi-flows is established.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142434946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Free Energy Difference Fluctuations in Short-Range Spin Glasses 短程自旋玻璃中的自由能差波动
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-10-14 DOI: 10.1007/s10955-024-03334-4
C. M. Newman, D. L. Stein
{"title":"Free Energy Difference Fluctuations in Short-Range Spin Glasses","authors":"C. M. Newman,&nbsp;D. L. Stein","doi":"10.1007/s10955-024-03334-4","DOIUrl":"10.1007/s10955-024-03334-4","url":null,"abstract":"<div><p>It is generally believed (but not yet proved) that Ising spin glasses with nearest-neighbor interactions have a phase transition in three and higher dimensions to a low-temperature spin glass phase, but the nature of this phase remains controversial, especially whether it is characterized by multiple incongruent Gibbs states. Of particular relevance to this question is the behavior of the typical free energy difference restricted to a finite volume between two such putative Gibbs states, as well as the nature of the fluctuations of their free energy difference as the couplings within the volume vary. In this paper we investigate these free energy difference fluctuations by introducing a new kind of metastate which classifies Gibbs states through their edge overlap values with a reference Gibbs state randomly chosen from the support of the periodic boundary condition (PBC) metastate. We find that the free energy difference between any two incongruent pure states, regardless of the details of how they’re organized into mixed states within the PBC metastate, converges to a Gaussian (or Gaussian-like) distribution whose variance scales with the volume, proving a decades-old conjecture of Fisher and Huse. The same conclusion applies, though with some additional restrictions, to both mixed Gibbs states and ground states. We discuss some implications of these results.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142434800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fixed-Magnetization Ising Model with a Slowly Varying Magnetic Field 具有缓慢变化磁场的固定磁化伊辛模型
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-10-14 DOI: 10.1007/s10955-024-03346-0
Yacine Aoun, Sébastien Ott, Yvan Velenik
{"title":"Fixed-Magnetization Ising Model with a Slowly Varying Magnetic Field","authors":"Yacine Aoun,&nbsp;Sébastien Ott,&nbsp;Yvan Velenik","doi":"10.1007/s10955-024-03346-0","DOIUrl":"10.1007/s10955-024-03346-0","url":null,"abstract":"<div><p>The motivation for this paper is the analysis of the fixed-density Ising lattice gas in the presence of a gravitational field. This is seen as a particular instance of an Ising model with a slowly varying magnetic field in the fixed magnetization ensemble. We first characterize the typical magnetization profiles in the regime in which the contribution of the magnetic field competes with the bulk energy term. We then discuss in more detail the particular case of a gravitational field and the arising interfacial phenomena. In particular, we identify the macroscopic profile and propose several conjectures concerning the interface appearing in the phase coexistence regime. The latter are supported by explicit computations in an effective model. Finally, we state some conjectures concerning equilibrium crystal shapes in the presence of a gravitational field, when the latter contributes to the energy only to surface order.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03346-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142430963","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exponential Ergodicity for the Stochastic Hyperbolic Sine-Gordon Equation on the Circle 圆上随机双曲正弦-戈登方程的指数对偶性
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-10-10 DOI: 10.1007/s10955-024-03347-z
Kihoon Seong
{"title":"Exponential Ergodicity for the Stochastic Hyperbolic Sine-Gordon Equation on the Circle","authors":"Kihoon Seong","doi":"10.1007/s10955-024-03347-z","DOIUrl":"10.1007/s10955-024-03347-z","url":null,"abstract":"<div><p>In this paper, we show that the Gibbs measure of the stochastic hyperbolic sine-Gordon equation on the circle is the unique invariant measure for the Markov process. Moreover, the Markov transition probabilities converge exponentially fast to the unique invariant measure in a type of 1-Wasserstein distance. The main difficulty comes from the fact that the hyperbolic dynamics does not satisfy the strong Feller property even if sufficiently many directions in a phase space are forced by the space-time white noise forcing. We instead establish that solutions give rise to a Markov process whose transition semigroup satisfies the asymptotic strong Feller property and convergence to equilibrium in a type of Wasserstein distance.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411206","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Heat Transport Through an Open Coupled Scalar Field Theory Hosting Stability-to-Instability Transition 通过开放耦合标量场理论的热量传输主持稳定到不稳定的转变
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-10-09 DOI: 10.1007/s10955-024-03341-5
T. R. Vishnu, Dibyendu Roy
{"title":"Heat Transport Through an Open Coupled Scalar Field Theory Hosting Stability-to-Instability Transition","authors":"T. R. Vishnu,&nbsp;Dibyendu Roy","doi":"10.1007/s10955-024-03341-5","DOIUrl":"10.1007/s10955-024-03341-5","url":null,"abstract":"<div><p>We investigate heat transport through a one-dimensional open coupled scalar field theory, depicted as a network of harmonic oscillators connected to thermal baths at the boundaries. The non-Hermitian dynamical matrix of the network undergoes a stability-to-instability transition at the exceptional points as the coupling strength between the scalar fields increases. The open network in the unstable regime, marked by the emergence of inverted oscillator modes, does not acquire a steady state, and the heat conduction is then unbounded for general bath couplings. In this work, we engineer a unique bath coupling where a single bath is connected to two fields at each edge with the same strength. This configuration leads to a finite steady-state heat conduction in the network, even in the unstable regime. We also study general bath couplings, e.g., connecting two fields to two separate baths at each boundary, which shows an exciting signature of approaching the unstable regime for massive fields. We derive analytical expressions for high-temperature classical heat current through the network for different bath couplings at the edges and compare them. Furthermore, we determine the temperature dependence of low-temperature quantum heat current in different cases.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Correlation Entropy of Free Semigroup Actions 自由半群作用的相关熵
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-10-08 DOI: 10.1007/s10955-024-03348-y
Xiaojiang Ye, Yanjie Tang, Dongkui Ma
{"title":"Correlation Entropy of Free Semigroup Actions","authors":"Xiaojiang Ye,&nbsp;Yanjie Tang,&nbsp;Dongkui Ma","doi":"10.1007/s10955-024-03348-y","DOIUrl":"10.1007/s10955-024-03348-y","url":null,"abstract":"<div><p>This paper introduces the concepts of correlation entropy and local correlation entropy for free semigroup actions on compact metric space, and investigates their underlying properties. Thereafter, we extend certain classical findings on correlation entropy and local correlation entropy to the realm of free semigroup actions. Finally, we establish the interconnections between topological entropy, measure-theoretic entropy, correlation entropy, and local correlation entropy for free semigroup actions under different conditions.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a Planar Random Motion with Asymptotically Correlated Components 关于具有渐近相关成分的平面随机运动
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-10-07 DOI: 10.1007/s10955-024-03337-1
Manfred Marvin Marchione, Enzo Orsingher
{"title":"On a Planar Random Motion with Asymptotically Correlated Components","authors":"Manfred Marvin Marchione,&nbsp;Enzo Orsingher","doi":"10.1007/s10955-024-03337-1","DOIUrl":"10.1007/s10955-024-03337-1","url":null,"abstract":"<div><p>We study a planar random motion <span>(big (X(t),,Y(t)big ))</span> with orthogonal directions, where the direction switches are governed by a homogeneous Poisson process. At each Poisson event, the moving particle turns clockwise or counterclockwise according to a rule which depends on the current direction. We prove that the components of the vector <span>(big (X(t),,Y(t)big ))</span> can be represented as linear combinations of two independent telegraph processes with different intensities. The exact distribution of <span>(big (X(t),,Y(t)big ))</span> is then obtained both in the interior of the support and on its boundary, where a singular component is present. We show that, in the hydrodynamic limit, the process behaves as a planar Brownian motion with correlated components. The distribution of the time spent by the process moving vertically is then studied. We obtain its exact distribution and discuss its hydrodynamic limit. In particular, in the limiting case, the process <span>(big (X(t),,Y(t)big ))</span> spends half of the time moving vertically.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410497","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Central Limit Theorem with Explicit Lyapunov Exponent and Variance for Products of (2times 2) Random Non-invertible Matrices 具有显式 Lyapunov 指数和方差的 (2times 2) 随机非可逆矩阵乘积的中心极限定理
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-10-01 DOI: 10.1007/s10955-024-03335-3
Audrey Benson, Hunter Gould, Phanuel Mariano, Grace Newcombe, Joshua Vaidman
{"title":"A Central Limit Theorem with Explicit Lyapunov Exponent and Variance for Products of (2times 2) Random Non-invertible Matrices","authors":"Audrey Benson,&nbsp;Hunter Gould,&nbsp;Phanuel Mariano,&nbsp;Grace Newcombe,&nbsp;Joshua Vaidman","doi":"10.1007/s10955-024-03335-3","DOIUrl":"10.1007/s10955-024-03335-3","url":null,"abstract":"<div><p>The theory of products of random matrices and Lyapunov exponents have been widely studied and applied in the fields of biology, dynamical systems, economics, engineering and statistical physics. We consider the product of an i.i.d. sequence of <span>(2times 2)</span> random non-invertible matrices with real entries. Given some mild moment assumptions we prove an explicit formula for the Lyapunov exponent and prove a central limit theorem with an explicit formula for the variance in terms of the entries of the matrices. We also give examples where exact values for the Lyapunov exponent and variance are computed. An important example where non-invertible matrices are essential is the random Hill’s equation, which has numerous physical applications, including the astrophysical orbit problem.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409357","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Localization in Boundary-Driven Lattice Models 边界驱动晶格模型中的定位问题
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-09-26 DOI: 10.1007/s10955-024-03324-6
Michele Giusfredi, Stefano Iubini, Paolo Politi
{"title":"Localization in Boundary-Driven Lattice Models","authors":"Michele Giusfredi,&nbsp;Stefano Iubini,&nbsp;Paolo Politi","doi":"10.1007/s10955-024-03324-6","DOIUrl":"10.1007/s10955-024-03324-6","url":null,"abstract":"<div><p>Several systems display an equilibrium condensation transition, where a finite fraction of a conserved quantity is spatially localized. The presence of two conservation laws may induce the emergence of such transition in an out-of-equilibrium setup, where boundaries are attached to different and subcritical heat baths. We study this phenomenon in a class of stochastic lattice models, where the local energy is a general convex function of the local mass, mass and energy being both globally conserved in the isolated system. We obtain exact results for the nonequilibrium steady state (spatial profiles, mass and energy currents, Onsager coefficients) and we highlight important differences between equilibrium and out-of-equilibrium condensation.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03324-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Equivariant Divergence Formula for Hyperbolic Chaotic Flows 双曲混沌流的等变发散公式
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-09-18 DOI: 10.1007/s10955-024-03329-1
Angxiu Ni, Yao Tong
{"title":"Equivariant Divergence Formula for Hyperbolic Chaotic Flows","authors":"Angxiu Ni,&nbsp;Yao Tong","doi":"10.1007/s10955-024-03329-1","DOIUrl":"10.1007/s10955-024-03329-1","url":null,"abstract":"<div><p>We prove the equivariant divergence formula for axiom A flow attractors. It is a pointwisely-defined and recursive formula for perturbation of SRB measures along center-unstable manifolds. It depends on only the zeroth and first order derivatives of the map, the observable, and the perturbation. Hence, the linear response acquires an ‘ergodic theorem’, which means that it can be sampled by recursively computing a few vectors on one orbit.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03329-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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