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A Cascade Model for the Discontinuous Absorbing Phase Transition Between Turbulent and Laminar Flows 湍流与层流之间不连续吸收相变的级联模型
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-09-06 DOI: 10.1007/s10955-024-03327-3
Eric Bertin, Alex Andrix, Gaël Le Godais
{"title":"A Cascade Model for the Discontinuous Absorbing Phase Transition Between Turbulent and Laminar Flows","authors":"Eric Bertin,&nbsp;Alex Andrix,&nbsp;Gaël Le Godais","doi":"10.1007/s10955-024-03327-3","DOIUrl":"10.1007/s10955-024-03327-3","url":null,"abstract":"<div><p>We introduce a minimal model of energy transfer through scales to describe, at a qualitative level, the subcritical transition between laminar and turbulent flows, viewed in a statistical physics framework as a discontinuous absorbing phase transition. The main control parameter of the model is a Reynolds number that compares energy transfer to viscous dissipation on a large length scale. In spite of its simplicity, the model qualitatively reproduces a number of salient features of the subcritical laminar-turbulent transition, including the existence of an absorbing laminar state, the discontinuous onset of a metastable fluctuating turbulent state above a threshold Reynolds number, and a faster-than-exponential increase of the turbulence lifetime when increasing the Reynolds number. The behavior of the model is also consistent, at high Reynolds number, with the Kolmogorov K41 phenomenology of fully developed turbulence.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200389","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
Absence of Local Conserved Quantity in the Heisenberg Model with Next-Nearest-Neighbor Interaction 具有近邻相互作用的海森堡模型中局部守恒量的缺失
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-09-06 DOI: 10.1007/s10955-024-03326-4
Naoto Shiraishi
{"title":"Absence of Local Conserved Quantity in the Heisenberg Model with Next-Nearest-Neighbor Interaction","authors":"Naoto Shiraishi","doi":"10.1007/s10955-024-03326-4","DOIUrl":"10.1007/s10955-024-03326-4","url":null,"abstract":"<div><p>We rigorously prove that the <span>(S=1/2)</span> anisotropic Heisenberg chain (XYZ chain) with next-nearest-neighbor interaction, which is anticipated to be non-integrable, is indeed non-integrable in the sense that this system has no nontrivial local conserved quantity. Our result covers some important models including the Majumdar–Ghosh model, the Shastry–Sutherland model, and many other zigzag spin chains as special cases. These models are shown to be non-integrable while they have some solvable energy eigenstates. In addition to this result, we provide a pedagogical review of the proof of non-integrability of the <span>(S=1/2)</span> XYZ chain with Z magnetic field, whose proof technique is employed in our result.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03326-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200390","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
An Inverse Cluster Expansion for the Chemical Potential 化学势的逆簇扩展
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-09-03 DOI: 10.1007/s10955-024-03319-3
Fabio Frommer
{"title":"An Inverse Cluster Expansion for the Chemical Potential","authors":"Fabio Frommer","doi":"10.1007/s10955-024-03319-3","DOIUrl":"10.1007/s10955-024-03319-3","url":null,"abstract":"<div><p>Interacting particle systems in a finite-volume in equilibrium are often described by a grand-canonical ensemble induced by the corresponding Hamiltonian, i.e. a finite-volume Gibbs measure. However, in practice, directly measuring this Hamiltonian is not possible, as such, methods need to be developed to calculate the Hamiltonian potentials from measurable data. In this work, we give an expansion of the chemical potential in terms of the correlation functions of such a system in the thermodynamic limit. This is a justification of a formal approach of Nettleton and Green from the 50’s, that can be seen as an inverse cluster expansion.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03319-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200392","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
Correction: Subdiffusion in the Presence of Reactive Boundaries: A Generalized Feynman–Kac Approach 更正：存在反应边界时的亚扩散：广义费曼-卡克方法
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-09-02 DOI: 10.1007/s10955-024-03330-8
Toby Kay, Luca Giuggioli
{"title":"Correction: Subdiffusion in the Presence of Reactive Boundaries: A Generalized Feynman–Kac Approach","authors":"Toby Kay,&nbsp;Luca Giuggioli","doi":"10.1007/s10955-024-03330-8","DOIUrl":"10.1007/s10955-024-03330-8","url":null,"abstract":"","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03330-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409578","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
Beliaev Damping in Bose Gas 玻色气体中的别利亚耶夫阻尼
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-30 DOI: 10.1007/s10955-024-03328-2
Jan Dereziński, Ben Li, Marcin Napiórkowski
{"title":"Beliaev Damping in Bose Gas","authors":"Jan Dereziński,&nbsp;Ben Li,&nbsp;Marcin Napiórkowski","doi":"10.1007/s10955-024-03328-2","DOIUrl":"10.1007/s10955-024-03328-2","url":null,"abstract":"<div><p>According to the Bogoliubov theory the low energy behaviour of the Bose gas at zero temperature can be described by non-interacting bosonic quasiparticles called phonons. In this work the damping rate of phonons at low momenta, the so-called Beliaev damping, is explained and computed with simple arguments involving the Fermi Golden Rule and Bogoliubov’s quasiparticles.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03328-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200393","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
Cutoff Ergodicity Bounds in Wasserstein Distance for a Viscous Energy Shell Model with Lévy Noise 具有莱维噪声的粘性能壳模型的瓦瑟斯坦距离截点厄尔戈德性边界
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-27 DOI: 10.1007/s10955-024-03308-6
G. Barrera, M. A. Högele, J. C. Pardo, I. Pavlyukevich
{"title":"Cutoff Ergodicity Bounds in Wasserstein Distance for a Viscous Energy Shell Model with Lévy Noise","authors":"G. Barrera,&nbsp;M. A. Högele,&nbsp;J. C. Pardo,&nbsp;I. Pavlyukevich","doi":"10.1007/s10955-024-03308-6","DOIUrl":"10.1007/s10955-024-03308-6","url":null,"abstract":"<div><p>This article establishes explicit non-asymptotic ergodic bounds in the renormalized Wasserstein–Kantorovich–Rubinstein (WKR) distance for a viscous energy shell lattice model of turbulence with random energy injection. The system under consideration is driven either by a Brownian motion, a symmetric <span>(alpha )</span>-stable Lévy process, a stationary Gaussian or <span>(alpha )</span>-stable Ornstein–Uhlenbeck process, or by a general Lévy process with second moments. The obtained non-asymptotic bounds establish asymptotically abrupt thermalization. The analysis is based on the explicit representation of the solution of the system in terms of convolutions of Bessel functions.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03308-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200394","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
Infinite-Volume Gibbs States of the Generalized Mean-Field Orthoplicial Model 广义均场正交模型的无限体积吉布斯态
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-27 DOI: 10.1007/s10955-024-03321-9
Kalle Koskinen
{"title":"Infinite-Volume Gibbs States of the Generalized Mean-Field Orthoplicial Model","authors":"Kalle Koskinen","doi":"10.1007/s10955-024-03321-9","DOIUrl":"10.1007/s10955-024-03321-9","url":null,"abstract":"<div><p>The generalized mean-field orthoplicial model is a mean-field model on a space of continuous spins on <span>(mathbb {R}^n)</span> that are constrained to a scaled <span>((n-1))</span>-dimensional <span>(ell _1)</span>-sphere, equivalently a scaled <span>((n-1))</span>-dimensional orthoplex, and interact through a general interaction function. The finite-volume Gibbs states of this model correspond to singular probability measures. In this paper, we use probabilistic methods to rigorously classify the infinite-volume Gibbs states of this model, and we show that they are convex combinations of product states. The predominant methods utilize the theory of large deviations, relative entropy, and equivalence of ensembles, and the key technical tools utilize exact integral representations of certain partition functions and locally uniform estimates of expectations of certain local observables.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03321-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200396","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
Faithfulness of Real-Space Renormalization Group Maps 实空间重正化群映射的忠实性
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-27 DOI: 10.1007/s10955-024-03323-7
Katsuya O. Akamatsu, Naoki Kawashima
{"title":"Faithfulness of Real-Space Renormalization Group Maps","authors":"Katsuya O. Akamatsu,&nbsp;Naoki Kawashima","doi":"10.1007/s10955-024-03323-7","DOIUrl":"10.1007/s10955-024-03323-7","url":null,"abstract":"<div><p>The behavior of <span>(b=2)</span> real-space renormalization group (RSRG) maps like the majority rule and the decimation map was examined by numerically applying RSRG steps to critical <span>(q=2,3,4)</span> Potts spin configurations. While the majority rule is generally believed to work well, a more thorough investigation of the action of the map has yet to be considered in the literature. When fixing the size of the renormalized lattice <span>(L_g)</span> and allowing the source configuration size <span>(L_0)</span> to vary, we observed that the RG flow of the spin and energy correlation under the majority rule map appear to converge to a nontrivial model-dependent curve. We denote this property as “faithfulness”, because it implies that some information remains preserved by RSRG maps that fall under this class. Furthermore, we show that <span>(b=2)</span> weighted majority-like RSRG maps acting on the <span>(q=2)</span> Potts model can be divided into two categories, maps that behave like decimation and maps that behave like the majority rule.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03323-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200397","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
Functional Limit Theorems for Dynamical Systems with Correlated Maximal Sets 具有相关最大集的动力系统的函数极限定理
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-27 DOI: 10.1007/s10955-024-03322-8
Raquel Couto
{"title":"Functional Limit Theorems for Dynamical Systems with Correlated Maximal Sets","authors":"Raquel Couto","doi":"10.1007/s10955-024-03322-8","DOIUrl":"10.1007/s10955-024-03322-8","url":null,"abstract":"<div><p>In order to obtain functional limit theorems for heavy-tailed stationary processes arising from dynamical systems, one needs to understand the clustering patterns of the tail observations of the process. These patterns are well described by means of a structure called the pilling process introduced recently in the context of dynamical systems. So far, the pilling process has been computed only for observable functions maximised at a single repelling fixed point. Here, we study richer clustering behaviours by considering correlated maximal sets, in the sense that the observable is maximised in multiple points belonging to the same orbit, and we work out explicit expressions for the pilling process when the dynamics is piecewise linear and expanding (1-dimensional and 2-dimensional).</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03322-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200395","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
Long-Range First-Passage Percolation on the Torus 环面上的远距离第一通道渗流
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-08-27 DOI: 10.1007/s10955-024-03325-5
Remco van der Hofstad, Bas Lodewijks
{"title":"Long-Range First-Passage Percolation on the Torus","authors":"Remco van der Hofstad,&nbsp;Bas Lodewijks","doi":"10.1007/s10955-024-03325-5","DOIUrl":"10.1007/s10955-024-03325-5","url":null,"abstract":"<div><p>We study a geometric version of first-passage percolation on the complete graph, known as long-range first-passage percolation. Here, the vertices of the complete graph <span>(mathcal {K}_n)</span> are embedded in the <i>d</i>-dimensional torus <span>(mathbb T_n^d)</span>, and each edge <i>e</i> is assigned an independent transmission time <span>(T_e=Vert eVert _{mathbb T_n^d}^alpha E_e)</span>, where <span>(E_e)</span> is a rate-one exponential random variable associated with the edge <i>e</i>, <span>(Vert cdot Vert _{mathbb T_n^d})</span> denotes the torus-norm, and <span>(alpha ge 0)</span> is a parameter. We are interested in the case <span>(alpha in [0,d))</span>, which corresponds to the instantaneous percolation regime for long-range first-passage percolation on <span>(mathbb {Z}^d)</span> studied by Chatterjee and Dey [14], and which extends first-passage percolation on the complete graph (the <span>(alpha =0)</span> case) studied by Janson [24]. We consider the typical distance, flooding time, and diameter of the model. Our results show a 1, 2, 3-type result, akin to first-passage percolation on the complete graph as shown by Janson. The results also provide a quantitative perspective to the qualitative results observed by Chatterjee and Dey on <span>(mathbb {Z}^d)</span>.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03325-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142200401","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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