Journal of Statistical Physics最新文献_第9页

Kinetic Roughening in the Molecular Beam Epitaxy Growth in the Presence of Long-Range Temporal Correlations 分子束外延生长中存在长程时间相关性时的动力学粗化现象

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-24 DOI: 10.1007/s10955-024-03357-x

Xiao Liu, Hui Xia

{"title":"Kinetic Roughening in the Molecular Beam Epitaxy Growth in the Presence of Long-Range Temporal Correlations","authors":"Xiao Liu, Hui Xia","doi":"10.1007/s10955-024-03357-x","DOIUrl":"10.1007/s10955-024-03357-x","url":null,"abstract":"<div><p>To study the effects of long-range temporal correlations on kinetic roughening of the molecular beam epitaxy (MBE) growth systems in both <span>((1+1))</span>- and <span>((2+1))</span>-dimensions, we adopt fast fractional Gaussian noise (FFGN) technique to generate temporally correlated noise to the continuum growth equations including Mullins–Herring (MH) and Villain–Lai–Das Sarma (VLDS), and the typical discrete growth models including Das Sarma–Tamborenea (DT) and Wolf–Villain (WV) with slight modifications. Extensive numerical simulations on these continuum and discrete growth systems are performed in the presence of long-range temporal correlations, and the scaling exponents are obtained correspondingly. We find that these correlated growth systems exhibit high dependence on the temporal correlation exponent within the large temporal correlated regimes, and there exist non-trivial scaling properties in the correlated DT and WV models. Our results also show that the scaling exponents in these linear and nonlinear MBE growth equations are in good agreement with the theoretical predictions. Furthermore, the saturated surface morphologies are compared qualitatively through simulating numerically these continuum and discrete growth systems in the presence of long-range temporal correlations. Generally, as the temporal correlation exponent increases, the surface heights of these correlated discrete and continuum growth systems exhibit evident increasing trends. Likewise, with the temporal correlation exponent increasing, the surface morphologies of the modified DT and WV models undergo a gradual transition from self-affine hills to sharp peaks, while the growing surfaces of the correlated MH and VLDS equations gradually become relatively smooth.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142518894","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

Matrix Denoising: Bayes-Optimal Estimators Via Low-Degree Polynomials 矩阵去噪：通过低度多项式的贝叶斯最优估计器

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-23 DOI: 10.1007/s10955-024-03359-9

Guilhem Semerjian

引用次数: 0

On the Definition of Velocity in Discrete-Time, Stochastic Langevin Simulations 论离散时间随机朗文模拟中的速度定义

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-22 DOI: 10.1007/s10955-024-03345-1

Niels Grønbech-Jensen

{"title":"On the Definition of Velocity in Discrete-Time, Stochastic Langevin Simulations","authors":"Niels Grønbech-Jensen","doi":"10.1007/s10955-024-03345-1","DOIUrl":"10.1007/s10955-024-03345-1","url":null,"abstract":"<div><p>We systematically develop beneficial and practical velocity measures for accurate and efficient statistical simulations of the Langevin equation with direct applications to computational statistical mechanics and molecular dynamics sampling. Recognizing that the existing velocity measures for the most statistically accurate discrete-time Verlet-type algorithms are inconsistent with the simulated configurational coordinate, we seek to create and analyze new velocity companions that both improve existing methods as well as offer practical options for implementation in existing computer codes. The work is based on the set of GJ methods that, of all methods, for any time step within the stability criteria correctly reproduces the most basic statistical features of a Langevin system; namely correct Boltzmann distribution for harmonic potentials and correct transport in the form of drift and diffusion for linear potentials. Several new and improved velocities exhibiting correct drift are identified, and we expand on an earlier conclusion that, generally, only half-step velocities can exhibit correct, time-step independent Maxwell–Boltzmann distributions. Specific practical and efficient algorithms are given in familiar forms, and these are used to numerically validate the analytically derived expectations. One especially simple algorithm is highlighted, and the ability of one of the new on-site velocities to produce statistically correct averages for a particular damping value is specified.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03345-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142452888","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

On the Derivation of the Linear Boltzmann Equation from the Nonideal Rayleigh Gas 从非理想瑞利气体推导线性玻尔兹曼方程

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2024-10-22 DOI: 10.1007/s10955-024-03353-1

Florent Fougères

引用次数: 0

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