Journal of Statistical Physics最新文献_第2页

Properties of the Gradient Squared of the Discrete Gaussian Free Field 离散高斯自由场梯度平方的性质

IF 1.6 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2023-11-04 DOI: 10.1007/s10955-023-03187-3

Alessandra Cipriani, Rajat S. Hazra, Alan Rapoport, Wioletta M. Ruszel

引用次数: 0

The Blume–Emery–Griffiths Model on the FAD Point and on the AD Line FAD点和AD线上的Blume–Emery–Griffiths模型

IF 1.6 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2023-10-30 DOI: 10.1007/s10955-023-03181-9

Paulo C. Lima, Riccardo Mariani, Aldo Procacci, Benedetto Scoppola

{"title":"The Blume–Emery–Griffiths Model on the FAD Point and on the AD Line","authors":"Paulo C. Lima, Riccardo Mariani, Aldo Procacci, Benedetto Scoppola","doi":"10.1007/s10955-023-03181-9","DOIUrl":"10.1007/s10955-023-03181-9","url":null,"abstract":"<div>We analyse the Blume–Emery–Griffiths (BEG) model on the lattice ({mathbb {Z}}^d) on the ferromagnetic-antiquadrupolar-disordered (FAD) point and on the antiquadrupolar-disordered (AD) line. In our analysis on the FAD point, we introduce a Gibbs sampler of the ground states at zero temperature, and we exploit it in two different ways: first, we perform via perfect sampling an empirical evaluation of the spontaneous magnetization at zero temperature, finding a non-zero value in (d=3) and a vanishing value in (d=2). Second, using a careful coupling with the Bernoulli site percolation model in (d=2), we prove rigorously that under imposing (+) boundary conditions, the magnetization in the center of a square box tends to zero in the thermodynamical limit and the two-point correlations decay exponentially. Also, using again a coupling argument, we show that there exists a unique zero-temperature infinite-volume Gibbs measure for the BEG. In our analysis of the AD line we restrict ourselves to (d=2) and, by comparing the BEG model with a Bernoulli site percolation in a matching graph of ({mathbb {Z}}^2), we get a condition for the vanishing of the infinite-volume limit magnetization improving, for low temperatures, earlier results obtained via expansion techniques.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"190 11","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71910599","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

Zero-Temperature Stochastic Ising Model on Planar Quasi-Transitive Graphs 平面拟传递图上的零温度随机Ising模型

IF 1.6 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2023-10-27 DOI: 10.1007/s10955-023-03177-5

Emilio De Santis, Leonardo Lelli

引用次数: 0

On the Two-Point Function of the Ising Model with Infinite-Range Interactions 关于具有无穷程相互作用的Ising模型的两点函数

IF 1.6 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2023-10-26 DOI: 10.1007/s10955-023-03175-7

Yacine Aoun, Kamil Khettabi

{"title":"On the Two-Point Function of the Ising Model with Infinite-Range Interactions","authors":"Yacine Aoun, Kamil Khettabi","doi":"10.1007/s10955-023-03175-7","DOIUrl":"10.1007/s10955-023-03175-7","url":null,"abstract":"<div>In this article, we prove some results concerning the truncated two-point function of the infinite-range Ising model above and below the critical temperature. More precisely, if the coupling constants are of the form (J_{x}=psi (x)textsf{e}^{-rho (x)}) with (rho ) some norm and (psi ) an subexponential correction, we show under appropriate assumptions that given (sin mathbb {S}^{d-1}), the Laplace transform of the two-point function in the direction s is infinite for (beta =beta _textrm{sat}(s)) (where (beta _textrm{sat}(s)) is a the biggest value such that the inverse correlation length (nu _{beta }(s)) associated to the truncated two-point function is equal to (rho (s)) on ([0,beta _textrm{sat}(s)))). Moreover, we prove that the two-point function satisfies up-to-constants Ornstein-Zernike asymptotics for (beta =beta _textrm{sat}(s)) on (mathbb {Z}). As far as we know, this constitutes the first result on the behaviour of the two-point function at (beta _textrm{sat}(s)). Finally, we show that there exists (beta _{0}) such that for every (beta >beta _{0}), (nu _{beta }(s)=rho (s)). All the results are new and their proofs are built on different results and ideas developed in Duminil-Copin and Tassion (Commun Math Phys 359(2):821–822, 2018) and Aoun et al. in (Commun Math Phys 386:433–467, 2021).</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"190 11","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71910920","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 Factorization Formula for the Partition Function of Directed Polymers 关于定向聚合物分配函数的因子分解公式。

IF 1.6 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2023-10-20 DOI: 10.1007/s10955-023-03172-w

Tobias Hurth, Konstantin Khanin, Beatriz Navarro Lameda, Fedor Nazarov

{"title":"On a Factorization Formula for the Partition Function of Directed Polymers","authors":"Tobias Hurth, Konstantin Khanin, Beatriz Navarro Lameda, Fedor Nazarov","doi":"10.1007/s10955-023-03172-w","DOIUrl":"10.1007/s10955-023-03172-w","url":null,"abstract":"<div>We prove a factorization formula for the point-to-point partition function associated with a model of directed polymers on the space-time lattice (mathbb {Z}^{d+1}). The polymers are subject to a random potential induced by independent identically distributed random variables and we consider the regime of weak disorder, where polymers behave diffusively. We show that when writing the quotient of the point-to-point partition function and the transition probability for the underlying random walk as the product of two point-to-line partition functions plus an error term, then, for large time intervals [0, t], the error term is small uniformly over starting points x and endpoints y in the sub-ballistic regime (Vert x - y Vert le t^{sigma }), where (sigma < 1) can be arbitrarily close to 1. This extends a result of Sinai, who proved smallness of the error term in the diffusive regime (Vert x - y Vert le t^{1/2}). We also derive asymptotics for spatial and temporal correlations of the field of limiting partition functions.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"190 10","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10589201/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49688271","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

Rates of Convergence in the Central Limit Theorem for the Elephant Random Walk with Random Step Sizes 具有随机步长的象随机游动中心极限定理的收敛速度

IF 1.6 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2023-09-27 DOI: 10.1007/s10955-023-03168-6

Jérôme Dedecker, Xiequan Fan, Haijuan Hu, Florence Merlevède

引用次数: 0

Cutoff and Dynamical Phase Transition for the General Multi-component Ising Model 通用多分量Ising模型的截止和动态相变

IF 1.6 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2023-09-03 DOI: 10.1007/s10955-023-03162-y

Seoyeon Yang

{"title":"Cutoff and Dynamical Phase Transition for the General Multi-component Ising Model","authors":"Seoyeon Yang","doi":"10.1007/s10955-023-03162-y","DOIUrl":"10.1007/s10955-023-03162-y","url":null,"abstract":"<div>We study the multi-component Ising model, which is also known as the block Ising model. In this model, the particles are partitioned into a fixed number of groups with a fixed proportion, and the interaction strength is determined by the group to which each particle belongs. We demonstrate that the Glauber dynamics on our model exhibits the cutoff(text{-- })metastability phase transition as passing the critical inverse-temperature (beta _{cr}), which is determined by the proportion of the groups and their interaction strengths, regardless of the total number of particles. For (beta <beta _{cr}), the dynamics shows a cutoff at (alpha nlog n) with a window size O(n), where (alpha ) is a constant independent of n. For (beta =beta _{cr}), we prove that the mixing time is of order (n^{3/2}). In particular, we deduce the so-called non-central limit theorem for the block magnetizations to validate the optimal bound at (beta =beta _{cr}). For (beta >beta _{cr}), we examine the metastability, which refers to the exponential mixing time. Our results, based on the position of the employed Ising model on the complete multipartite graph, generalize the results of previous versions of the model.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"190 9","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48197861","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: 2

Correction to: Percolation Thresholds for Spherically Symmetric Fractal Aggregates 修正:球对称分形聚集体的渗透阈值

IF 1.6 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2023-09-02 DOI: 10.1007/s10955-023-03163-x

Avik P. Chatterjee

引用次数: 0

Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale 水动力尺度上Toda晶格的平衡时空相关

IF 1.6 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2023-08-25 DOI: 10.1007/s10955-023-03155-x

Guido Mazzuca, Tamara Grava, Thomas Kriecherbauer, Kenneth T.-R. McLaughlin, Christian B. Mendl, Herbert Spohn

引用次数: 2

An Upper Bound on Topological Entropy of the Bunimovich Stadium Billiard Map Bunimovich体育场台球地图拓扑熵的一个上界。

IF 1.6 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2023-08-25 DOI: 10.1007/s10955-023-03142-2

Jernej Činč, Serge Troubetzkoy

引用次数: 1