Journal of Statistical Physics最新文献_第6页

Quantum MEP Hydrodynamical Model for Charge Transport 电荷输运的量子MEP流体动力学模型

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-01-27 DOI: 10.1007/s10955-025-03395-z

V. D. Camiola, V. Romano, G. Vitanza

{"title":"Quantum MEP Hydrodynamical Model for Charge Transport","authors":"V. D. Camiola, V. Romano, G. Vitanza","doi":"10.1007/s10955-025-03395-z","DOIUrl":"10.1007/s10955-025-03395-z","url":null,"abstract":"<div>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 (hbar ^2) 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.</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}

引用次数: 0

Intertwining and Propagation of Mixtures for Generalized KMP Models and Harmonic Models 广义KMP模型与调和模型混合的缠结与传播

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-01-27 DOI: 10.1007/s10955-025-03393-1

Cristian Giardinà, Frank Redig, Berend van Tol

{"title":"Intertwining and Propagation of Mixtures for Generalized KMP Models and Harmonic Models","authors":"Cristian Giardinà, Frank Redig, Berend van Tol","doi":"10.1007/s10955-025-03393-1","DOIUrl":"10.1007/s10955-025-03393-1","url":null,"abstract":"<div>We study a class of stochastic models of mass transport on discrete vertex set V. For these models, a one-parameter family of homogeneous product measures (otimes _{iin V} nu _theta ) 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 <div><div>$$ int Big (bigotimes _{iin V} nu _{theta _i}Big ) ,Xi Big (prod _{iin V}dtheta _iBig ) $$</div></div>is left invariant by the dynamics in the course of time, and the “mixing measure” (Xi ) 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 ({1,ldots , N}) 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.</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}

引用次数: 0

Large Deviation for Gibbs Probabilities at Zero Temperature and Invariant Idempotent Probabilities for Iterated Function Systems 零温度下吉布斯概率的大偏差和迭代函数系统的不变幂等概率

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-01-24 DOI: 10.1007/s10955-025-03400-5

Jairo K. Mengue, Elismar R. Oliveira

{"title":"Large Deviation for Gibbs Probabilities at Zero Temperature and Invariant Idempotent Probabilities for Iterated Function Systems","authors":"Jairo K. Mengue, Elismar R. Oliveira","doi":"10.1007/s10955-025-03400-5","DOIUrl":"10.1007/s10955-025-03400-5","url":null,"abstract":"<div>We consider two compact metric spaces J and X and a uniformly contractible iterated function system ({phi _j: X rightarrow X , | , j in J }). For a Lipschitz continuous function A on (J times X) and for each (beta >0) we consider the Gibbs probability (rho _{{beta A}}). Our goal is to study a large deviation principle for such family of probabilities as (beta rightarrow +infty ) and its connections with idempotent probabilities. In the non-place dependent case ((A(j,x)=A_j,,forall xin X)) we will prove that ((rho _{{beta A}})) satisfy a LDP and (-I) (where I is the rate function) is the density of the unique invariant idempotent probability for a mpIFS associated to A. In the place dependent case, we prove that, if ((rho _{{beta A}})) satisfy a LDP, then (-I) 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 (-I).</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}

引用次数: 0

Shock Propagation Following an Intense Explosion in an Inhomogeneous Gas: Core Scaling and Hydrodynamics 非均匀气体中剧烈爆炸后的激波传播：岩心结垢和流体动力学

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-01-24 DOI: 10.1007/s10955-025-03401-4

Amit Kumar, R. Rajesh

引用次数: 0

Existence of Long-Range Order in Random-Field Ising Model on Dyson Hierarchical Lattice Dyson层次格上随机场Ising模型中长程阶的存在性

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-01-22 DOI: 10.1007/s10955-025-03399-9

Manaka Okuyama, Masayuki Ohzeki

引用次数: 0

Branching Brownian Motion Versus Random Energy Model in the Supercritical Phase: Overlap Distribution and Temperature Susceptibility 超临界相分支布朗运动与随机能量模型：重叠分布和温度敏感性

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-01-21 DOI: 10.1007/s10955-025-03394-0

Benjamin Bonnefont, Michel Pain, Olivier Zindy

引用次数: 0

On the Statistics of Dimer Coverings and Spanning Trees on the Silicate-Type Sierpinski Gasket 硅酸盐型Sierpinski垫片上二聚体覆盖和生成树的统计

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-01-20 DOI: 10.1007/s10955-024-03392-8

Xingsheng Yang, Jingchao Lai, Weigen Yan

引用次数: 0

Global-In-Time Discrete Approximation of the Cucker–Smale Model with a Unit Speed Constraint 单位速度约束下cucker - small模型的全局时间离散逼近

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-01-18 DOI: 10.1007/s10955-025-03397-x

Jeong Seok Han, Woojoo Shim, Hyunjin Ahn

引用次数: 0

High-Level Moving Excursions for Spatiotemporal Gaussian Random Fields with Long Range Dependence 具有长距离依赖的时空高斯随机场的高水平运动漂移

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-01-16 DOI: 10.1007/s10955-025-03396-y

Nikolai Leonenko, M. Dolores Ruiz-Medina

引用次数: 0

Characteristic Polynomials of Sparse Non-Hermitian Random Matrices 稀疏非厄米随机矩阵的特征多项式

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-01-15 DOI: 10.1007/s10955-024-03379-5

Ievgenii Afanasiev, Tatyana Shcherbina

引用次数: 0