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With large-scale Monte Carlo simulations, we investigate the nonsteady relaxation at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model. The dynamic scaling behavior is carefully analyzed, and the…

Statistical Mechanics · Physics 2023-06-21 Xiaohui Qian , Gaotian Yu , Nengji Zhou

We determine the elastic moduli of two-dimensional assemblies of disks by computer simulations. The disks interact through elastic contact forces, that oppose the relative displacement at the contact points by means of a normal and a…

Materials Science · Physics 2007-11-20 I. Agnolin , N. P. Kruyt

In this study, we experimentally investigated the time dependence of the statistical properties of two-dimensional drying crack patterns to determine the functional form of fragment size distribution. Experiments using a thin layer of a…

Soft Condensed Matter · Physics 2020-09-30 Shin-ichi Ito , Akio Nakahara , Satoshi Yukawa

We characterize the late-time scaling state of dry, coarsening, two-dimensional froths using a detailed, force-based vertex model. We find that the slow evolution of bubbles leads to systematic deviations from 120degree angles at three-fold…

Soft Condensed Matter · Physics 2007-05-23 Andrew D. Rutenberg , Micah B. McCurdy

Driven elastic manifolds in random media exhibit a depinning transition to a state with non-vanishing velocity at a critical driving force. We study the depinning of stiff directed lines, which are governed by a bending rigidity rather than…

Statistical Mechanics · Physics 2015-05-12 Horst-Holger Boltz , Jan Kierfeld

Traditionally, it is understood that fluctuations in the equilibrium distribution are not evident in thermodynamic systems of large $N$ (the number of particles in the system) \cite{Huang1}. In this paper we examine the validity of this…

Mathematical Physics · Physics 2007-10-03 Kieran Kelly , Przemysław Repetowicz , Seosamh macRéamoinn

We study a class of models for brittle fracture: elastic theory models which allow for cracks but not for plastic flow. We show that these models exhibit, at all finite temperatures, a transition to fracture under applied load similar to…

Materials Science · Physics 2009-10-28 Alex Buchel , James P. Sethna

We use molecular dynamics to study the vibrations of a thermally fluctuating two-dimensional elastic membrane clamped at both ends. We directly extract the eigenmodes from resonant peaks in the frequency domain of the time-dependent height…

Soft Condensed Matter · Physics 2017-07-19 Duanduan Wan , David R. Nelson , Mark J. Bowick

Out-of-equilibrium systems, inherently complex and challenging to understand, are prevalent across various disciplines, including physics where they arise in contexts such as fluid dynamics. In particular, critical out-of-equilibrium…

Statistical Mechanics · Physics 2025-10-14 J. M. Marcos

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…

Disordered Systems and Neural Networks · Physics 2009-11-13 Ludovic D. C. Jaubert , Claudio Chamon , Leticia F. Cugliandolo , Marco Picco

Recent progress on studies of the nanoscale mechanical responses in disordered systems has highlighted a strong degree of heterogeneity in the elastic moduli. In this contribution, using computer simulations, we study the elastic…

Soft Condensed Matter · Physics 2016-02-12 Hideyuki Mizuno , Leonardo E. Silbert , Matthias Sperl

We investigate a granular gas in a shaken quasi-two-dimensional box in molecular dynamics computer simulations. After a sudden change (quench) of the shaking amplitude, transient density correlations are observed orders of magnitude beyond…

Soft Condensed Matter · Physics 2020-11-18 Thomas Schindler , Christian M. Rohwer

The presence of strong local fluctuations -- dynamical heterogeneities -- has been observed near the glass transitions of a wide variety of materials. Here we explore the possible presence of universality in those fluctuations. We compare…

Disordered Systems and Neural Networks · Physics 2008-11-20 Azita Parsaeian , Horacio E. Castillo

The effect of finite temperature $T$ and finite strain rate $\dot\gamma$ on the statistical physics of plastic deformations in amorphous solids made of $N$ particles is investigated. We recognize three regimes of temperature where the…

Statistical Mechanics · Physics 2015-05-19 Smarajit Karmakar , Edan Lerner , Itamar Procaccia , Jacques Zylberg

Roughness of driven elastic interfaces in random media is typically understood to be characterized by a single roughness exponent $\zeta$. We show that at the depinning threshold, due to symmetry breaking caused by the direction of the…

Statistical Mechanics · Physics 2022-10-20 Esko Toivonen , Matti Molkkari , Esa Räsänen , Lasse Laurson

We study the effects of rapid temperature and magnetic field changes on the non-equilibrium relaxation dynamics of magnetic vortex lines in disordered type-II superconductors by employing an elastic line model and performing Langevin…

Statistical Mechanics · Physics 2015-11-25 Hiba Assi , Harshwardhan Chaturvedi , Ulrich Dobramysl , Michel Pleimling , Uwe C. Tauber

We study current fluctuations in a one-dimensional interacting particle system known as the dual smoothing process that is dual to random motions in a Howitt-Warren flow. The Howitt-Warren flow can be regarded as the transition kernels of a…

Probability · Mathematics 2015-11-10 Jinjiong Yu

An effective model is introduced to illustrate finite volume effects beyond the usual momentum space constraints. The fluctuations of the chiral order parameter and the net baryon number, as well as their scaling properties, are…

High Energy Physics - Phenomenology · Physics 2025-10-29 Győző Kovács , Pok Man Lo , Krzysztof Redlich , Chihiro Sasaki

The linear response of two-dimensional amorphous elastic bodies to an external delta force is determined in analogy with recent experiments on granular aggregates. For the generated forces, stress and displacement fields, we find strong…

Statistical Mechanics · Physics 2009-11-10 F. Leonforte , A. Tanguy , J. P. Wittmer , J. -L. Barrat

Recent studies on the phenomenology of ageing in certain many-particle systems which are at a critical point of their non-equilibrium steady-states, are reviewed. Examples include the contact process, the parity-conserving…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel