Journal of Statistical Physics最新文献_第3页

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":"191 10","pages":""},"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":"191 10","pages":""},"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":"191 10","pages":""},"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

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, 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":"191 10","pages":""},"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

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

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, 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":"191 10","pages":""},"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

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

引用次数: 0