Journal of Statistical Physics最新文献

{"title":"Graphical Proof of Ginibre’s Inequality","authors":"Yuki Tokushige","doi":"10.1007/s10955-024-03378-6","DOIUrl":"10.1007/s10955-024-03378-6","url":null,"abstract":"<div><p>In this short note, we will give a new combinatorial proof of Ginibre’s inequality for XY models. Our proof is based on multigraph representations introduced by van Engelenburg-Lis (2023) and a new combinatorial bijection.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03378-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108292","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}

{"title":"Coupling Derivation of Optimal-Order Central Moment Bounds in Exponential Last-Passage Percolation","authors":"Elnur Emrah,&nbsp;Nicos Georgiou,&nbsp;Janosch Ortmann","doi":"10.1007/s10955-025-03402-3","DOIUrl":"10.1007/s10955-025-03402-3","url":null,"abstract":"<div><p>We introduce new probabilistic arguments to derive optimal-order central moment bounds in planar directed last-passage percolation. Our technique is based on couplings with the increment-stationary variants of the model, and is presented in the context of i.i.d. exponential weights for both zero and near-stationary boundary conditions. A main technical novelty in our approach is a new proof of the left-tail fluctuation upper bound with exponent 3/2 for the last-passage times.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03402-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110116","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}

{"title":"Potts Partition Function Zeros and Ground State Entropy on Hanoi Graphs","authors":"Shu-Chiuan Chang,&nbsp;Robert Shrock","doi":"10.1007/s10955-025-03398-w","DOIUrl":"10.1007/s10955-025-03398-w","url":null,"abstract":"<div><p>We study properties of the Potts model partition function <span>(Z(H_m,q,v))</span> on <i>m</i>’th iterates of Hanoi graphs, <span>(H_m)</span>, and use the results to draw inferences about the <span>(m rightarrow infty )</span> limit that yields a self-similar Hanoi fractal, <span>(H_infty )</span>. We also calculate the chromatic polynomials <span>(P(H_m,q)=Z(H_m,q,-1))</span>. From calculations of the configurational degeneracy, per vertex, of the zero-temperature Potts antiferromagnet on <span>(H_m)</span>, denoted <span>(W(H_m,q))</span>, estimates of <span>(W(H_infty ,q))</span>, are given for <span>(q=3)</span> and <span>(q=4)</span> and compared with known values on other lattices. We compute the zeros of <span>(Z(H_m,q,v))</span> in the complex <i>q</i> plane for various values of the temperature-dependent variable <span>(v=y-1)</span> and in the complex <i>y</i> plane for various values of <i>q</i>. These are consistent with accumulating to form loci denoted <span>(mathcal{B}_q(v))</span> and <span>(mathcal{B}_v(q))</span>, or equivalently, <span>(mathcal{B}_y(q))</span>, in the <span>(m rightarrow infty )</span> limit. Our results motivate the inference that the maximal point at which <span>(mathcal{B}_q(-1))</span> crosses the real <i>q</i> axis, denoted <span>(q_c)</span>, has the value <span>(q_c=(1/2)(3+sqrt{5}))</span> and correspondingly, if <span>(q=q_c)</span>, then <span>(mathcal{B}_y(q_c))</span> crosses the real <i>y</i> axis at <span>(y=0)</span>, i.e., the Potts antiferromagnet on <span>(H_infty )</span> with <span>(q=(1/2)(3+sqrt{5}))</span> has a <span>(T=0)</span> critical point. Finally, we analyze the partition function zeros in the <i>y</i> plane for <span>(q gg 1)</span> and show that these accumulate approximately along parts of the sides of an equilateral triangular with apex points that scale like <span>(y sim q^{2/3})</span> and <span>(y sim q^{2/3} e^{pm 2pi i/3})</span>. Some comparisons are presented of these findings for Hanoi graphs with corresponding results on <i>m</i>’th iterates of Sierpinski gasket graphs and the <span>(m rightarrow infty )</span> limit yielding the Sierpinski gasket fractal.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109901","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}

{"title":"A Hybrid Approach to Model Reduction of Generalized Langevin Dynamics","authors":"Matteo Colangeli,&nbsp;Manh Hong Duong,&nbsp;Adrian Muntean","doi":"10.1007/s10955-025-03404-1","DOIUrl":"10.1007/s10955-025-03404-1","url":null,"abstract":"<div><p>We consider a classical model of non-equilibrium statistical mechanics accounting for non-Markovian effects, which is referred to as the Generalized Langevin Equation in the literature. We derive reduced Markovian descriptions obtained through the neglection of inertial terms and/or heat bath variables. The adopted reduction scheme relies on the framework of the Invariant Manifold method, which allows to retain the slow degrees of freedom from a multiscale dynamical system. Our approach is also rooted on the Fluctuation–Dissipation Theorem, which helps preserve the proper dissipative structure of the reduced dynamics. We highlight the appropriate time scalings introduced within our procedure, and also prove the commutativity of selected reduction paths.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03404-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110170","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}

{"title":"Quantum MEP Hydrodynamical Model for Charge Transport","authors":"V. D. Camiola,&nbsp;V. Romano,&nbsp;G. Vitanza","doi":"10.1007/s10955-025-03395-z","DOIUrl":"10.1007/s10955-025-03395-z","url":null,"abstract":"<div><p>A well known procedure to get quantum hydrodynamical models for charge transport is to resort to the Wigner equations and deduce the hierarchy of the moment equations as in the semiclassical approach. If one truncates the moment hierarchy to a finite order, the resulting set of balance equations requires some closure assumption because the number of unknowns exceed the number of equations. In the classical and semiclassical kinetic theory a sound approach to get the desired closure relations is that based on the Maximum Entropy Principle (MEP) (Jaynes in Phys Rev 106:620–630, 1957) [see Camiola et al. (Charge transport in low dimensional semiconductor structures, the maximum entropy approach. Springer, Cham, 2020) for charge transport in semiconductors]. In Romano (J Math Phys 48:123504, 2007) a quantum MEP hydrodynamical model has been devised for charge transport in the parabolic band approximation by introducing quantum correction based on the equilibrium Wigner function (Wigner in Phys Rev 40:749–749, 1932). An extension to electron moving in pristine graphene has been obtained in Luca and Romano (in: Atti della Accademia Peloritana dei Pericolanti—Classe di Scienze Fisiche, Matematiche e Naturali, [S.l.], p. A5, 2018, https://doi.org/10.1478/AAPP.96S1A5). Here we present a quantum hydrodynamical model which is valid for a general energy band considering a closure of the moment system deduced by the Wigner equation resorting to a quantum version of MEP. Explicit formulas for quantum correction at order <span>(hbar ^2)</span> are obtained with the aid of the Moyal calculus for silicon and graphene removing the limitation that the quantum corrections are based on the equilibrium Wigner function as in Romano (J Math Phys 48:123504, 2007), Luca and Romano (in: Atti della Accademia Peloritana dei Pericolanti—Classe di Scienze Fisiche, Matematiche e Naturali, [S.l.], p. A5, 2018, https://doi.org/10.1478/AAPP.96S1A5). As an application, quantum correction to the mobilities are deduced.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03395-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109587","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}

{"title":"Intertwining and Propagation of Mixtures for Generalized KMP Models and Harmonic Models","authors":"Cristian Giardinà,&nbsp;Frank Redig,&nbsp;Berend van Tol","doi":"10.1007/s10955-025-03393-1","DOIUrl":"10.1007/s10955-025-03393-1","url":null,"abstract":"<div><p>We study a class of stochastic models of mass transport on discrete vertex set <i>V</i>. For these models, a one-parameter family of homogeneous product measures <span>(otimes _{iin V} nu _theta )</span> is reversible. We prove that the set of mixtures of inhomogeneous product measures with equilibrium marginals, i.e., the set of measures of the form </p><div><div><span>$$ int Big (bigotimes _{iin V} nu _{theta _i}Big ) ,Xi Big (prod _{iin V}dtheta _iBig ) $$</span></div></div><p>is left invariant by the dynamics in the course of time, and the “mixing measure” <span>(Xi )</span> evolves according to a Markov process which we then call “the hidden parameter model”. This generalizes results from De Masi et al. (Preprint arXiv:2310.01672, 2023) to a larger class of models and on more general graphs. The class of models includes discrete and continuous generalized KMP models, as well as discrete and continuous harmonic models. The results imply that in all these models, the non-equilibrium steady state of their reservoir driven version is a mixture of product measures where the mixing measure is in turn the stationary state of the corresponding “hidden parameter model”. For the boundary-driven harmonic models on the chain <span>({1,ldots , N})</span> with nearest neighbor edges, we recover that the stationary measure of the hidden parameter model is the joint distribution of the ordered Dirichlet distribution (cf. Carinci et al., Preprint arXiv:2307.14975, 2023), with a purely probabilistic proof based on a spatial Markov property of the hidden parameter model.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03393-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109701","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}

{"title":"Large Deviation for Gibbs Probabilities at Zero Temperature and Invariant Idempotent Probabilities for Iterated Function Systems","authors":"Jairo K. Mengue,&nbsp;Elismar R. Oliveira","doi":"10.1007/s10955-025-03400-5","DOIUrl":"10.1007/s10955-025-03400-5","url":null,"abstract":"<div><p>We consider two compact metric spaces <i>J</i> and <i>X</i> and a uniformly contractible iterated function system <span>({phi _j: X rightarrow X , | , j in J })</span>. For a Lipschitz continuous function <i>A</i> on <span>(J times X)</span> and for each <span>(beta &gt;0)</span> we consider the Gibbs probability <span>(rho _{{beta A}})</span>. Our goal is to study a large deviation principle for such family of probabilities as <span>(beta rightarrow +infty )</span> and its connections with idempotent probabilities. In the non-place dependent case (<span>(A(j,x)=A_j,,forall xin X)</span>) we will prove that <span>((rho _{{beta A}}))</span> satisfy a LDP and <span>(-I)</span> (where <i>I</i> is the rate function) is the density of the unique invariant idempotent probability for a mpIFS associated to <i>A</i>. In the place dependent case, we prove that, if <span>((rho _{{beta A}}))</span> satisfy a LDP, then <span>(-I)</span> is the density of an invariant idempotent probability. Such idempotent probabilities were recently characterized through the Mañé potential and Aubry set, therefore we will obtain an identical characterization for <span>(-I)</span>.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109647","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}

{"title":"Shock Propagation Following an Intense Explosion in an Inhomogeneous Gas: Core Scaling and Hydrodynamics","authors":"Amit Kumar,&nbsp;R. Rajesh","doi":"10.1007/s10955-025-03401-4","DOIUrl":"10.1007/s10955-025-03401-4","url":null,"abstract":"<div><p>We study the shock propagation in a spatially inhomogeneous gas following an intense explosion. We generalize the exact solution of the Euler equation for the spatio-temporal variation of density, velocity, and temperature to arbitrary dimensions. From the asymptotic behavior of the solution near the shock center, we argue that only for a critical dimension dependent initial density distribution will the Euler equation provide a correct description of the problem. For general initial density distributions, we use event-driven molecular dynamics simulations in one dimension to demonstrate that the Euler equation fails to capture the behavior near the shock center. However, the Navier–Stokes equation successfully resolves this issue. The crossover length scale below which the dissipation terms are relevant and the core scaling for the data near the shock center are derived and confirmed in EDMD simulations.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03401-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109646","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}

{"title":"Existence of Long-Range Order in Random-Field Ising Model on Dyson Hierarchical Lattice","authors":"Manaka Okuyama,&nbsp;Masayuki Ohzeki","doi":"10.1007/s10955-025-03399-9","DOIUrl":"10.1007/s10955-025-03399-9","url":null,"abstract":"<div><p>We study the random-field Ising model on a Dyson hierarchical lattice, where the interactions decay in a power-law-like form, <span>(J(r)sim r^{-alpha })</span>, with respect to the distance. Without a random field, the Ising model on the Dyson hierarchical lattice has a long-range order at finite low temperatures when <span>(1&lt;alpha &lt;2)</span>. In this study, for <span>(1&lt;alpha &lt;3/2)</span>, we rigorously prove that there is a long-range order in the random-field Ising model on the Dyson hierarchical lattice at finite low temperatures, including zero temperature, when the strength of the random field is sufficiently small but nonzero. Our proof is based on Dyson’s method for the case without a random field, and the concentration inequalities in probability theory enable us to evaluate the effect of a random field.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03399-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995528","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}

{"title":"Branching Brownian Motion Versus Random Energy Model in the Supercritical Phase: Overlap Distribution and Temperature Susceptibility","authors":"Benjamin Bonnefont,&nbsp;Michel Pain,&nbsp;Olivier Zindy","doi":"10.1007/s10955-025-03394-0","DOIUrl":"10.1007/s10955-025-03394-0","url":null,"abstract":"<div><p>In comparison with Derrida’s REM, we investigate the influence of the so-called decoration processes arising in the limiting extremal processes of numerous log-correlated Gaussian fields. In particular, we focus on the branching Brownian motion and two specific quantities from statistical physics in the vicinity of the critical temperature. The first one is the two-temperature overlap, whose behavior at criticality is smoothened by the decoration process—unlike the one-temperature overlap which is identical—and the second one is the temperature susceptibility, as introduced by Sales and Bouchaud, which is strictly larger in the presence of decorations and diverges, close to the critical temperature, at the same speed as for the REM but with a different multiplicative constant. We also study some general decorated cases in order to highlight the fact that the BBM has a critical behavior in some sense to be made precise.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995453","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}