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Dynamic heterogeneity is now recognised as a central aspect of structural relaxation in disordered materials with slow dynamics, and was the focus of intense research in the last decade. Here we describe how initial, indirect observations…

统计力学 · 物理学 2010-09-28 Ludovic Berthier , Giulio Biroli , Jean-Philippe Bouchaud , Robert L Jack

Diffusivity in some soft matter and biological systems changes with time, called the fluctuating diffusivity. In this work, we propose a novel origin for fluctuating diffusivity based on stochastic simulations of binary gas mixtures. In…

统计力学 · 物理学 2023-02-01 Fumiaki Nakai , Yuichi Masubuchi , Yuya Doi , Takato Ishida , Takashi Uneyama

In sustained growth with random dynamics stationary distributions can exist without detailed balance. This suggests thermodynamical behavior in fast growing complex systems. In order to model such phenomena we apply both a discrete and a…

统计力学 · 物理学 2017-03-22 Tamás Biró , Zoltán Néda

For non-equilibrium systems of interacting particles and for interacting diffusions in d dimensions, a novel fluctuation relation is derived. The theorem establishes a quantitative relation between the probabilities of observing two current…

统计力学 · 物理学 2015-12-07 Carlos Pérez-Espigares , Frank Redig , Cristian Giardinà

The fluctuation theorem is a pivotal result of statistical physics. It quantifies the probability of observing fluctuations which are in violation of the second law of thermodynamics. More specifically, it quantifies the ratio of the…

统计力学 · 物理学 2011-08-26 M. Belushkin , R. Livi , G. Foffi

Recent experimental results point to the existence of coherent quantum phenomena in systems made of a large number of particles, despite the fact that for many-body systems the presence of decoherence is hardly negligible and emerging…

量子物理 · 物理学 2017-09-21 F. Benatti , F. Carollo , R. Floreanini , H. Narnhofer

Using the initial-value formulation, a dynamic theory for systems evolving according to a Generalized Langevin Equation is developed, providing more restrictive conditions on the existence of equilibrium behavior and its…

统计力学 · 物理学 2024-03-11 Massimiliano Giona , Giuseppe Procopio , Chiara Pezzotti

In this review, we scrutinize historical and modern results on the linear response of dynamical systems to external perturbations with a particular emphasis on the celebrated relationship between fluctuations and dissipation expressed by…

In recently introduced schematic lattice gas models for vibrated dry granular media, we study the dynamical response of the system to small perturbations of shaking amplitudes and its relations with the characteristic fluctuations. Strong…

凝聚态物理 · 物理学 2009-10-31 Mario Nicodemi

We study numerically spatio-temporal fluctuations during the out-of-equilibrium relaxation of the three-dimensional Edwards-Anderson model. We focus on two issues. (1) The evolution of a growing dynamical length scale in the glassy phase of…

无序系统与神经网络 · 物理学 2009-11-13 Ludovic D. C. Jaubert , Claudio Chamon , Leticia F. Cugliandolo , Marco Picco

Particles undergoing Fickian diffusion within smooth energy landscapes exhibit Gaussian statistics. However, this Gaussian behavior is often elusive in complex liquids, where particle dynamics within spontaneously fluctuating or…

软凝聚态物质 · 物理学 2025-11-12 Vinay Vaibhav , Tamoghna Das , Suman Dutta

We discuss the fluctuation properties of equilibrium chaotic systems with constraints such as iso-kinetic and Nos\'e-Hoover thermostats. Although the dynamics of these systems does not typically preserve phase-space volumes, the average…

统计力学 · 物理学 2009-08-29 T. Gilbert , J. R. Dorfman

We use dynamic light scattering and computer simulations to study equilibrium dynamics and dynamic heterogeneity in concentrated suspensions of colloidal hard spheres. Our study covers an unprecedented density range and spans seven decades…

When an isolated quantum system is driven out of equilibrium, expectation values of general observables start oscillating in time. This article reviews the general theory of such temporal fluctuations. We first survey some results on the…

统计力学 · 物理学 2015-09-02 Lorenzo Campos Venuti , Paolo Zanardi

We compare the fluctuation relations for work and entropy in underdamped and overdamped systems, when the friction coefficient of the medium is space-dependent. We find that these relations remain unaffected in both cases. However, for the…

统计力学 · 物理学 2015-06-15 Sourabh Lahiri , Shubhashis Rana , A. M. Jayannavar

We develop a rigorous theory of hard-sphere dynamics in the kinetic regime, away from thermal equilibrium. In the low density limit, the empirical density obeys a law of large numbers and the dynamics is governed by the Boltzmann equation.…

偏微分方程分析 · 数学 2020-05-20 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella

The presence of fluctuating local relaxation times, $\tau_r(t)$ has been used for some time as a conceptual tool to describe dynamical heterogeneities in glass-forming systems. However, until now no general method is known to extract the…

无序系统与神经网络 · 物理学 2015-05-01 Gcina A. Mavimbela , Azita Parsaeian , Horacio E. Castillo

The fluctuation-dissipation theorem (FDT) is a simple yet powerful consequence of the first-order differential equation governing the dynamics of systems subject simultaneously to dissipative and stochastic forces. The linear learning…

机器学习 · 计算机科学 2021-09-29 Manhyung Han , Jeonghyeok Park , Taewoong Lee , Jung Hoon Han

A fundamental principle of chaotic quantum dynamics is that local subsystems eventually approach a thermal equilibrium state. Large subsystems thermalize slower: their approach to equilibrium is limited by the hydrodynamic build-up of…

The origin of stretched exponential relaxation in supercooled glass-forming liquids is one of the central questions regarding the anomalous dynamics of these fluids. The dominant explanation for this phenomenon has long been the proposition…

软凝聚态物质 · 物理学 2021-02-03 Daniel Diaz Vela , David S. Simmons