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We study out of equilibrium dynamics and aging for a particle diffusing in one dimensional environments, such as the random force Sinai model, as a toy model for low dimensional systems. We study fluctuations of two times $(t_w, t)$…

Statistical Mechanics · Physics 2009-10-30 Laurent Laloux , Pierre Le Doussal

Aging dynamics in glassy systems is investigated by considering the hopping motion in a rugged energy landscape whose deep minima are characterized by an exponential density of states. In particular we explore the behavior of a generic…

Statistical Mechanics · Physics 2009-11-07 Bernd Rinn , Philipp Maass , Jean-Philippe Bouchaud

Interrupted aging in the two-dimensional Ising spin glass model with Gaussian couplings is established and investigated via extensive Monte-Carlo simulations. The spin autocorrelation function scales with $t/\tau(t_w)$, where $t_w$ is the…

Condensed Matter · Physics 2015-06-25 H. Rieger B. Steckemetz , M. Schreckenberg

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

Aging in spin glasses is analyzed via the Probability Density Function (PDF) of the heat transfer between system and bath over a small time $\delta t$. The PDF contains a Gaussian part, describing reversible fluctuations, and an exponential…

Soft Condensed Matter · Physics 2007-05-23 Paolo Sibani , Henrik Jeldtoft Jensen

We investigate aging in glassy systems based on a simple model, where a point in configuration space performs thermally activated jumps between the minima of a random energy landscape. The model allows us to show explicitly a subaging…

Statistical Mechanics · Physics 2009-10-31 Bernd Rinn , Philipp Maass , Jean-Philippe Bouchaud

We present a detailed numerical study of dynamical heterogeneities in the aging regime of a simple binary Lennard-Jones glass former. For most waiting times t_w and final times t, both the dynamical susceptibility \chi_4(t,t_w) and the…

Disordered Systems and Neural Networks · Physics 2009-01-14 Azita Parsaeian , Horacio E. Castillo

Using extensive Monte Carlo simulations we study aging properties of two disordered systems quenched below their critical point, namely the two-dimensional random-bond Ising model and the three-dimensional Edwards-Anderson Ising spin glass…

Statistical Mechanics · Physics 2015-06-05 Hyunhang Park , Michel Pleimling

By means of molecular dynamics computer simulations we investigate the out of equilibrium relaxation dynamics of a simple glass former, a binary Lennard-Jones system, after a quench to low temperatures. We study both one time quantities and…

Disordered Systems and Neural Networks · Physics 2009-10-31 Walter Kob , Jean-Louis Barrat

We study the robustness of an evolving system that is driven by successive inclusions of new elements or constituents with $m$ random interactions to older ones. Each constitutive element in the model stays either active or is temporarily…

Adaptation and Self-Organizing Systems · Physics 2018-10-23 Fumiko Ogushi , János Kertész , Kimmo Kaski , Takashi Shimada

A generic model of stochastic autocatalytic dynamics with many degrees of freedom $w_i$ $i=1,...,N$ is studied using computer simulations. The time evolution of the $w_i$'s combines a random multiplicative dynamics $w_i(t+1) = \lambda…

Statistical Mechanics · Physics 2009-10-31 Ofer Malcai , Ofer Biham , Sorin Solomon

We study a stochastic model based on a modified fragmentation of a finite interval. The mechanism consists in cutting the interval at a random location and substituting a unique fragment on the right of the cut to regenerate and preserve…

Statistical Mechanics · Physics 2018-04-25 Jean-Yves Fortin

Following recent experiments on power law blinking behavior of single nano-crystals, we calculate two-time intensity correlation functions <I(t)I(t+t')> for these systems. We use a simple two state (on and off) stochastic model to describe…

Statistical Mechanics · Physics 2009-11-10 Gennady Margolin , Eli Barkai

By using large-scale molecular dynamics simulations, the dynamics of two-dimensional (2D) supercooled liquids turns out to be dependent on the system size, while the size dependence is not pronounced in three dimensional (3D) systems. It is…

Statistical Mechanics · Physics 2016-12-07 Hayato Shiba , Yasunori Yamada , Takeshi Kawasaki , Kang Kim

We conduct a molecular dynamics simulation of an inelastic gas system utilizing an event-driven algorithm combined with a thermostat mechanism. Initially, the kinetic energy of the system experiences a decay before settling into a…

Computational Physics · Physics 2025-02-03 Rameez Farooq Shah , Shikha Kumari , Syed Rashid Ahmad

Fluctuations may govern the fate of an interacting particle system even on the mean-field level. This is demonstrated via a three species cyclic trapping reaction with a large, yet finite number of particles, where the final number of…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

We study analytically the aging dynamics of the O(n) model in the large-n limit, with conserved and with non-conserved order parameter. While in the non-conserved dynamics, the autocorrelation function scales in the usual way C(t,tw) =…

Statistical Mechanics · Physics 2009-10-31 Ludovic Berthier

We summarize studies of growing lengths in different aging systems. The article is structured as follows. We recall the definition of a number of observables, typically correlations and susceptibilities, that give access to dynamic and…

Statistical Mechanics · Physics 2010-10-04 Federico Corberi , Leticia F. Cugliandolo , Hajime Yoshino

We consider the dynamics of the disordered trap model, which is known to be completely out-of-equilibrium and to present strong localization effects in its aging phase. We are interested into the influence of an external force, when it is…

Condensed Matter · Physics 2009-11-10 Cecile Monthus

Via molecular dynamics simulations, we study the kinetics in a phase separating active matter model. Quantitative results for the isotropic bicontinuous pattern formation, its growth and aging, studied, respectively, via the two-point…

Soft Condensed Matter · Physics 2016-05-27 Subir K. Das
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