Journal of Statistical Physics最新文献_第2页

Analytical Survival Analysis of the Non-autonomous Ornstein–Uhlenbeck Process 非自治奥恩斯坦-乌伦贝克过程的分析性生存分析

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-22 DOI: 10.1007/s10955-024-03355-z

L. T. Giorgini, W. Moon, J. S. Wettlaufer

引用次数: 0

High-Fugacity Expansion and Crystallization in Non-sliding Hard-Core Lattice Particle Models Without a Tiling Constraint 无平铺约束的非滑动硬核晶格粒子模型中的高能膨胀和结晶现象

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-21 DOI: 10.1007/s10955-024-03349-x

Qidong He, Ian Jauslin

{"title":"High-Fugacity Expansion and Crystallization in Non-sliding Hard-Core Lattice Particle Models Without a Tiling Constraint","authors":"Qidong He, Ian Jauslin","doi":"10.1007/s10955-024-03349-x","DOIUrl":"10.1007/s10955-024-03349-x","url":null,"abstract":"<div><p>In this paper, we prove the existence of a crystallization transition for a family of hard-core particle models on periodic graphs in dimension <span>(dge 2)</span>. We consider only models featuring a single species of particles, which in particular forbids the particles from rotation and reflection, and establish a criterion under which crystallization occurs at sufficiently high densities. The criterion is more general than that in Jauslin and Lebowitz (Commun Math Phys 364:655–682, 2018), as it allows models in which particles do not tile the space in the close-packing configurations, such as discrete hard-disk models. To prove crystallization, we prove that the pressure is analytic in the inverse of the fugacity for large enough complex fugacities, using Pirogov–Sinai theory. One of the main new tools used for this result is the definition of a local density, based on a discrete generalization of Voronoi cells. We illustrate the criterion by proving that it applies to three examples: staircase models and the radius 2.5 hard-disk model on <span>(mathbb Z^{2})</span>, and a heptacube model on <span>(mathbb Z^{3})</span>.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03349-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142452883","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

Armouring of a Frictional Interface by Mechanical Noise 机械噪声对摩擦界面的铠装作用

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-19 DOI: 10.1007/s10955-024-03339-z

Elisa El Sergany, Matthieu Wyart, Tom W. J. de Geus

{"title":"Armouring of a Frictional Interface by Mechanical Noise","authors":"Elisa El Sergany, Matthieu Wyart, Tom W. J. de Geus","doi":"10.1007/s10955-024-03339-z","DOIUrl":"10.1007/s10955-024-03339-z","url":null,"abstract":"<div><p>A dry frictional interface loaded in shear often displays stick–slip. The amplitude of this cycle depends on the probability that a microscopic event nucleates a rupture and on the rate at which microscopic events are triggered. The latter is determined by the distribution of soft spots, <i>P</i>(<i>x</i>), which is the density of microscopic regions that yield if the shear load is increased by some amount <i>x</i>. In minimal models of a frictional interface—that include disorder, inertia and long-range elasticity—we discovered an ‘armouring’ mechanism by which the interface is greatly stabilised after a large slip event: <i>P</i>(<i>x</i>) then vanishes at small argument as <span>(P(x)sim x^theta )</span> (de Geus et al., Proc Natl Acad Sci USA 116(48):23977-23983, 2019. https://doi.org/10.1073/pnas.1906551116). The exponent <span>(theta )</span> is non-zero only in the presence of inertia (otherwise <span>(theta =0)</span>). It was found to depend on the statistics of the disorder in the model, a phenomenon that was not explained. Here, we show that a single-particle toy model with inertia and disorder captures the existence of a non-trivial exponent <span>(theta >0)</span>, which we can analytically relate to the statistics of the disorder.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03339-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142451034","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

Dynamical Large Deviations for Boundary Driven Gradient Symmetric Exclusion Processes in Mild Contact with Reservoirs 与储层温和接触的边界驱动梯度对称排斥过程的动态大偏差

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-18 DOI: 10.1007/s10955-024-03356-y

Angèle Bouley, Claudio Landim

引用次数: 0

Probability of a Single Current 单一电流的概率

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-18 DOI: 10.1007/s10955-024-03338-0

Sylvain Prolhac

引用次数: 0

From Zero-Mode Intermittency to Hidden Symmetry in Random Scalar Advection 从零模式间歇性到随机标量平流中的隐藏对称性

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-15 DOI: 10.1007/s10955-024-03342-4

Simon Thalabard, Alexei A. Mailybaev

{"title":"From Zero-Mode Intermittency to Hidden Symmetry in Random Scalar Advection","authors":"Simon Thalabard, Alexei A. Mailybaev","doi":"10.1007/s10955-024-03342-4","DOIUrl":"10.1007/s10955-024-03342-4","url":null,"abstract":"<div><p>The statistical behavior of scalars passively advected by random flows exhibits intermittency in the form of anomalous multiscaling, in many ways similar to the patterns commonly observed in incompressible high-Reynolds fluids. This similarity suggests a generic dynamical mechanism underlying intermittency, though its specific nature remains unclear. Scalar turbulence is framed in a linear setting that points towards a zero-mode scenario connecting anomalous scaling to the presence of statistical conservation laws; the duality is fully substantiated within Kraichnan theory of random flows. However, extending the zero-mode scenario to nonlinear settings faces formidable technical challenges. Here, we revisit the scalar problem in the light of a hidden symmetry scenario introduced in recent deterministic turbulence studies addressing the Sabra shell model and the Navier–Stokes equations. Hidden symmetry uses a rescaling strategy based entirely on symmetry considerations, transforming the original dynamics into a rescaled (hidden) system; It yields the universality of Kolmogorov multipliers and ultimately identifies the scaling exponents as the eigenvalues of Perron-Frobenius operators. Considering a minimal shell model of scalar advection of the Kraichnan type that was previously studied by Biferale & Wirth, the present work extends the hidden symmetry approach to a stochastic setting, in order to explicitly contrast it with the zero-mode scenario. Our study indicates that the zero-mode and the multiplicative scenarios are intrinsically related. While the zero-mode approach solves the eigenvalue problem for <span>(p {{text {th}}})</span> order correlation functions, Perron-Frobenius (multiplicative) scenario defines a similar eigenvalue problem in terms of <span>(p{text {th}})</span> order measures. For systems of the Kraichnan type, the first approach provides a quantitative chararacterization of intermittency, while the second approach highlights the universal connection between the scalar case and a larger class of hydrodynamic models.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142434752","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

How Fast do Rumours Spread? 谣言的传播速度有多快？

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-15 DOI: 10.1007/s10955-024-03343-3

Rishideep Roy, Kumarjit Saha

{"title":"How Fast do Rumours Spread?","authors":"Rishideep Roy, Kumarjit Saha","doi":"10.1007/s10955-024-03343-3","DOIUrl":"10.1007/s10955-024-03343-3","url":null,"abstract":"<div><p>We study a rumour propagation model along the lines of Lebensztayn and Rodriguez (Stat Probab Lett 78(14):2130–2136, 2008) as a long-range percolation model on <span>(mathbb {Z})</span>. We begin by showing a sharp phase transition-type behaviour in the sense of exponential decay of the survival time of the rumour cluster in the sub-critical phase. In the super-critical phase, under the assumption that radius of influence r.v. has <span>(2+epsilon )</span> moment finite (for some <span>(epsilon >0)</span>), we show that the rightmost vertex in the rumour cluster has a deterministic speed in the sense that after appropriate scaling, the location of the rightmost vertex converges a.s. to a deterministic positive constant. Under the assumption that radius of influence r.v. has <span>(4+epsilon )</span> moment finite, we obtain a central limit theorem for appropriately scaled and centered rightmost vertex. Later, we introduce a rumour propagation model with reactivation. For this section, we work with a family of exponentially decaying i.i.d. radius of influence r.v.’s, and we obtain the speed result for the scaled rightmost position of the rumour cluster. Each of these results is novel, in the sense that such properties have never been established before in the context of the rumour propagation model on <span>(mathbb {Z})</span>, to the best of our knowledge.\u0000</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03343-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142434846","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

Anomalous Random Flights and Time-Fractional Run-and-Tumble Equations 反常随机飞行和时间分数运行翻滚方程

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-14 DOI: 10.1007/s10955-024-03344-2

Luca Angelani, Alessandro De Gregorio, Roberto Garra, Francesco Iafrate

{"title":"Anomalous Random Flights and Time-Fractional Run-and-Tumble Equations","authors":"Luca Angelani, Alessandro De Gregorio, Roberto Garra, Francesco Iafrate","doi":"10.1007/s10955-024-03344-2","DOIUrl":"10.1007/s10955-024-03344-2","url":null,"abstract":"<div><p>Random flights (also called run-and-tumble walks or transport processes) represent finite velocity random motions changing direction at any Poissonian time. These models in <i>d</i>-dimension, can be studied giving a general formulation of the problem valid at any spatial dimension. The aim of this paper is to extend this general analysis to time-fractional processes arising from a non-local generalization of the kinetic equations. The probabilistic interpretation of the solution of the time-fractional equations leads to a time-changed version of the original transport processes. The obtained results provide a clear picture of the role played by the time-fractional derivatives in this kind of random motions. They display an anomalous behavior and are useful to describe several complex systems arising in statistical physics and biology. In particular, we focus on the one-dimensional random flight, called telegraph process, studying the time-fractional version of the classical telegraph equation and providing a suitable interpretation of its stochastic solutions.</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/s10955-024-03344-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142434801","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

A Dynamical Approach to the (alpha )–(beta ) Displacive Transition of Quartz 石英的（α）-（β）置换转变的动力学方法

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-14 DOI: 10.1007/s10955-024-03340-6

Andrea Carati, Fabrizio Gangemi, Roberto Gangemi, Luigi Galgani

{"title":"A Dynamical Approach to the (alpha )–(beta ) Displacive Transition of Quartz","authors":"Andrea Carati, Fabrizio Gangemi, Roberto Gangemi, Luigi Galgani","doi":"10.1007/s10955-024-03340-6","DOIUrl":"10.1007/s10955-024-03340-6","url":null,"abstract":"<div><p>The problem of displacive phase transitions (by which crystals pass on heating from a less symmetric to a more symmetric form) is investigated through numerical integration of the Newton equations of motion for a realistic model, in the paradigmatic case of quartz. Usually such transitions are discussed in terms of the positions of the atoms, while the role of normal modes is emphasized here. The key preliminary property established, in agreement with the indications given by Landau in his thermodynamic-like approach, is that four well definite modes are sufficient to describe the transition, the remaining modes just acting as a noise. The main result is then that such four modes constitute a closed Hamiltonian subsystem presenting an effective potential parametrically dependent on specific energy. The effective potential is actually computed, through (appropriately defined) time-averages of the accelerations of the relevant modes, and is found to describe, as energy is varied, a pitchfork bifurcation, once more confirming in dynamical terms the Landau result. The effective potential also allows one to advance a possible explanation of the “soft mode” phenomenon, namely the occuring, in the Raman spectrum, of a peak whose frequency depends on temperature and vanishes at the transition.</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/s10955-024-03340-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142431082","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

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

引用次数: 0