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Fluctuation formulas for elastic and viscoelastic moduli allow their computation from equilibrium molecular dynamics simulations, avoiding explicit nonequilibrium deformation protocols. While such expressions are well established for the…

Materials Science · Physics 2026-05-14 F. E. Garbuzov , Y. M. Beltukov

It has long been conjectured that, in three dimensional turbulence, velocity modes at scales larger than the forcing scale follow equilibrium dynamics. Recent numerical and experimental evidence show that such modes share the same mean…

Fluid Dynamics · Physics 2023-11-27 Alexandros Alexakis , Sergio Chibbaro , Guillaume Michel

Complex systems consist of many interacting elements which participate in some dynamical process. The activity of various elements is often different and the fluctuation in the activity of an element grows monotonically with the average…

Physics and Society · Physics 2008-04-24 Zoltan Eisler , Imre Bartos , Janos Kertesz

We study consequences of long-range elasticity in thermally assisted dynamics of yield stress materials. Within a two-dimensinal mesoscopic model we calculate the mean-square displacement and the dynamical structure factor for tracer…

Soft Condensed Matter · Physics 2014-12-09 Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

We numerically elucidate the microscopic mechanisms controlling the relaxation dynamics of a three-dimensional lattice glass model that has static properties compatible with the approach to a random first-order transition. At low…

Disordered Systems and Neural Networks · Physics 2024-02-09 Yoshihiko Nishikawa , Ludovic Berthier

We simulate a relaxation process of non-brownian particles in a sheared viscous medium; the small shear strain is initially applied to a system, which then undergoes relaxation. The relaxation time and the correlation length are estimated…

Soft Condensed Matter · Physics 2009-05-05 Takahiro Hatano

We study dynamical correlation functions in the random-field Heisenberg chain, which probes the relaxation times at different length scales. Firstly, we show that the relaxation time associated with the dynamical imbalance (examining the…

Strongly Correlated Electrons · Physics 2022-02-10 J. Herbrych , M. Mierzejewski , P. Prelovšek

We study the relaxation process in a two-dimensional lattice gas model, where the interactions come from the excluded volume. In this model particles have three arms with an asymmetrical shape, which results in geometrical frustration that…

Statistical Mechanics · Physics 2009-11-07 A. Diaz-Sanchez , Antonio de Candia , Antonio Coniglio

I determine the scaling behavior of the free energy barriers encountered by a flux line in moving through a three-dimensional random potential. A combination of numerical simulations and analytic arguments suggest that these barriers scale…

Condensed Matter · Physics 2009-10-28 Barbara Drossel

We demonstrate the emergence of self-organized structures in the course of the relaxation of an initially excited, dissipative and finite chain of interacting particles in a periodic potential towards its many particle equilibrium…

Adaptation and Self-Organizing Systems · Physics 2016-08-19 Benno Liebchen , Peter Schmelcher

We provide general derivations of the partial slip boundary condition from microscopic dynamics and linearized fluctuating hydrodynamics. The derivations are based on the assumption of separation of scales between microscopic behavior, such…

Statistical Mechanics · Physics 2019-06-05 Hiroyoshi Nakano , Shin-ichi Sasa

Understanding the timescales associated with relaxation to equilibrium in closed quantum many-body systems is one of the central focuses in the study of their non-equilibrium dynamics. At late times, these relaxation processes exhibit…

Statistical Mechanics · Physics 2026-01-19 Kadir Çeven , Lukas Peinemann , Fabian Heidrich-Meisner

We investigate the relaxation mechanism of a supercooled tetrahedral liquid at its limit of stability using isothermal isobaric ($NPT$) Monte Carlo (MC) simulations. In similarity with systems which are far from equilibrium but near the…

Statistical Mechanics · Physics 2017-09-06 Arvind Kumar Gautam , Nandlal Pingua , Aashish Goyal , Pankaj A. Apte

We present a mean-field theory of a coarse-grained model of a super-cooled liquid in which relaxation occurs via local plastic rearrangements. Local relaxation can be induced by thermal fluctuations or by the long-range elastic consequences…

Soft Condensed Matter · Physics 2023-12-07 Joseph W. Baron , Giulio Biroli

Stretched exponential relaxation ($\exp{-(t/\tau)}^{\beta_K}$) is observed in a large variety of systems but has not been explained so far. Studying random walks on percolation clusters in curved spaces whose dimensions range from 2 to 7,…

Disordered Systems and Neural Networks · Physics 2009-10-31 Philippe Jund , Remi Jullien , Ian Campbell

We study the effects of thermal flucutations on thin elastic filaments with spontaneous curvature and torsion. We derive analytical expressions for the orientational correlation functions and for the persistence length of helices, and find…

Soft Condensed Matter · Physics 2009-10-31 S. Panyukov , Y. Rabin

We investigate the propagation of a suddenly applied tension along a thermally excited semi-flexible polymer using analytical approximations, scaling arguments and numerical simulation. This problem is inherently non-linear. We find…

Soft Condensed Matter · Physics 2009-10-28 Udo Seifert , Wolfgang Wintz , Philip Nelson

We represent the slow, glassy equilibrium dynamics of a line in a two-dimensional random potential landscape as driven by an array of asymptotically independent two-state systems, or loops, fluctuating on all length scales. The assumption…

Condensed Matter · Physics 2009-10-28 Anders B. Eriksson , Jari M. Kinaret , Lev V. Mikheev

We consider a one dimensional elastic string as a set of massless beads interacting through springs characterized by anisotropic elastic constants. The string, driven by an external force, moves in a medium with quenched disorder. We…

Condensed Matter · Physics 2009-10-28 Hernán A. Makse , Albert-László Barabási , H. Eugene Stanley

We study the influence of a dissipation process on diffusion dynamics triggered by fluctuations with long-range correlations. We make the assumption that the perturbation process involved is of the same kind as those recently studied…

Statistical Mechanics · Physics 2007-05-23 M. Annunziato , P. Grigolini , J. Riccardi