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Systems driven far from equilibrium may exhibit anomalous density fluctuations: active matter with orientational order display giant density fluctuations at large scale, while systems of interacting particles close to an absorbing phase…

Statistical Mechanics · Physics 2026-03-23 Sara Dal Cengio , Romain Mari , Eric Bertin

We study the probability distribution $P$ of the sum of a large number of non-identically distributed random variables $n_m$. Condensation of fluctuations, the phenomenon whereby one of such variables provides a macroscopic contribution to…

Statistical Mechanics · Physics 2016-04-29 Federico Corberi

We analyze a pair of diffusion equations which are derived in the infinite system--size limit from a microscopic, individual--based, stochastic model. Deviations from the conventional Fickian picture are found which ultimately relate to the…

Statistical Mechanics · Physics 2015-05-18 Duccio Fanelli , Alan J. McKane

We study the nonequilibrium aging dynamics in a system of quasi-hard spheres at large density by means of computer simulations. We find that, after a sudden quench to large density, the relaxation time initially increases exponentially with…

Statistical Mechanics · Physics 2010-10-01 Djamel El Masri , Ludovic Berthier , Luca Cipelletti

Coherently moving flocks of birds, beasts or bacteria are examples of living matter with spontaneous orientational order. How do these systems differ from thermal equilibrium systems with such liquid-crystalline order? Working with a…

Soft Condensed Matter · Physics 2011-11-09 Vijay Narayan , Sriram Ramaswamy , Narayanan Menon

The growth of complex populations, such as microbial communities, forests, and cities, occurs over vastly different spatial and temporal scales. Although research in different fields has developed detailed, system-specific models to…

Populations and Evolution · Quantitative Biology 2023-09-14 Ashish B. George , James O'Dwyer

The dynamics of a system formed by a finite number $N$ of globally coupled bistable oscillators and driven by external forces is studied focusing on a global variable defined as the arithmetic mean of each oscillator variable. Several…

Statistical Mechanics · Physics 2009-11-13 David Cubero

We use numerical simulations to study the behavior of 2D frictionless disk systems under cyclic shear as a function of reversal amplitude \gamma_r. Our studies focus on mean bulk and disk dynamics. These measurements suggest a crossover…

Soft Condensed Matter · Physics 2014-06-11 Mitch Mailman , Michelle Girvan , Wolfgang Losert

We consider two sequential models of deposition and aggregation for particles. The first model (No Diffusion) simulates surface diffusion through a deterministic capture area, while the second (Sequential Diffusion) allows the atoms to…

Materials Science · Physics 2007-05-23 Daniele Vilone , Claudio Castellano , Paolo Politi

Characterizing current fluctuations in a steady state is of fundamental interest and has attracted considerable attention in the recent past. However, the bulk of the studies are limited to systems that either do not exhibit a phase…

Statistical Mechanics · Physics 2024-12-05 Tanmoy Chakraborty , Punyabrata Pradhan , Kavita Jain

We propose a simple stochastic model of cascading transport in wave number space to clarify the origin of intermittent behavior of fully-developed fluid turbulence. In spite of lack of nonlinearity and viscosity the model gives non-Gaussian…

chao-dyn · Physics 2008-02-03 Hideki Takayasu , Y-h. Taguchi , Tomoo Katsuyama

Non-Gaussian diffusion is commonly considered as a result of fluctuating diffusivity, which is correlated in time or in space or both. In this work, we investigate the non-Gaussian diffusion in static disordered media via a quenched trap…

Statistical Mechanics · Physics 2018-04-25 Liang Luo , Ming Yi

We analyze the fluctuations of the dissipated energy in a simple and general model where dissipation, diffusion and driving are the key ingredients. The large deviation function for the dissipation follows from hydrodynamic fluctuation…

Statistical Mechanics · Physics 2011-10-06 A. Prados , A. Lasanta , Pablo I. Hurtado

We study the fluctuations of the area $A=\int_0^T x(t) dt$ under a one-dimensional Brownian motion $x(t)$ in a trapping potential $\sim |x|$, at long times $T\to\infty$. We find that typical fluctuations of $A$ follow a Gaussian…

Statistical Mechanics · Physics 2024-08-05 Naftali R. Smith

Understanding the physics of non-equilibrium systems remains as one of the major open questions in statistical physics. This problem can be partially handled by investigating macroscopic fluctuations of key magnitudes that characterise the…

Soft Condensed Matter · Physics 2016-11-17 A. Lasanta , Pablo I. Hurtado , A. Prados

A fundamental question in nonequilibrium statistical physics is whether effective equilibrium behavior can emerge at coarse-grained scales in strongly driven systems. Here, we investigate this question in the context of human mobility by…

Physics and Society · Physics 2026-03-24 Lei Dong

We examine the general question of statistical changes experienced by ensembles of nonlinear random waves propagating in systems ruled by integrable equations. In our study that enters within the framework of integrable turbulence, we…

Optics · Physics 2016-08-24 S. Randoux , P. Walczak , M. Onorato , P. Suret

The amplitude of fluctuation-induced patterns might be expected to be proportional to the strength of the driving noise, suggesting that such patterns would be difficult to observe in nature. Here, we show that a large class of…

Statistical Mechanics · Physics 2017-01-11 Tommaso Biancalani , Farshid Jafarpour , Nigel Goldenfeld

In systems of diffusing particles, we investigate large deviations of a time-averaged measure of clustering around one particle. We focus on biased ensembles of trajectories, which realise large-deviation events. The bias acts on a single…

Statistical Mechanics · Physics 2021-06-02 Jakub Dolezal , Robert L. Jack

Introducing a general class of one-dimensional single-file systems (meaning that particle crossings are prohibited) of interacting hardcore particles with internal degrees of freedom (called charge), we exhibit a novel type of dynamical…

Statistical Mechanics · Physics 2024-03-11 Žiga Krajnik , Johannes Schmidt , Vincent Pasquier , Tomaž Prosen , Enej Ilievski