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The time distribution of relaxation events in an aging system is investigated via molecular dynamics simulations. The focus is on the distribution functions of the first passage time, $p_1(\Delta t)$, and the persistence time, $p(\tau)$. In…

Disordered Systems and Neural Networks · Physics 2015-09-15 Nima H. Siboni , Dierk Raabe , Fathollah Varnik

Activity-mediated unjamming of a confluent glassy system is crucial for several biological processes, such as embryogenesis and cancer metastasis. During these processes, the cells progressively change their junction properties,…

Soft Condensed Matter · Physics 2025-05-13 Souvik Sadhukhan , Chandan Dasgupta , Saroj Kumar Nandi

The equilibrium and nonequilibrium properties of ferromagnetic systems may be affected by the long-range nature of the coupling interaction. Here we study the phase separation process of a one-dimensional Ising model in the presence of a…

Statistical Mechanics · Physics 2019-08-06 Federico Corberi , Eugenio Lippiello , Paolo Politi

We have used molecular dynamics simulations for a comprehensive study of phase separation in a two-dimensional single component off-lattice model where particles interact through the Lennard-Jones potential. Via state-of-the-art methods we…

Soft Condensed Matter · Physics 2021-01-04 Jiarul Midya , Subir K. Das

We study the intermittent behavior of the energy decay and linear magnetic response of a glassy system during isothermal aging after a deep thermal quench using the Edward-Anderson spin glass model as a paradigmatic example. The large…

Statistical Mechanics · Physics 2008-01-02 Paolo Sibani

Recently, different numerical studies of coarsening in disordered systems have shown the existence of a crossover from an initial, transient, power-law domain growth to a slower, presumably logarithmic, growth. However, due to the very slow…

Statistical Mechanics · Physics 2013-04-01 Nasrin Afzal , Michel Pleimling

We corroborate the idea of a close connection between replica symmetry breaking and aging in the linear response function for a large class of finite-dimensional systems with short-range interactions. In these system, characterized by a…

Statistical Mechanics · Physics 2019-08-17 Silvio Franz , Marc Mézard , Giorgio Parisi , Luca Peliti

We introduce a new class of models in which a large number of "agents" organize under the influence of an externally imposed coherent noise. The model shows reorganization events whose size distribution closely follows a power law over many…

Condensed Matter · Physics 2009-10-28 Kim Sneppen , M. E. J. Newman

Using extensive molecular dynamics simulations, we have performed finite-size scaling (FSS) in the aging regime of a model glass-forming liquid to investigate how the length scales associated with amorphous order (static length) and dynamic…

Soft Condensed Matter · Physics 2025-12-22 Santu Nath , Smarajit Karmakar

The far-from-equilibrium dynamics of glassy systems share important phenomenological traits. A transition is generally observed from a time-homogeneous dynamical regime to an aging regime where physical changes occur intermittently and, on…

Soft Condensed Matter · Physics 2015-03-13 S. Boettcher , P. Sibani

In the renewal processes, if the waiting time probability density function is a tempered power-law distribution, then the process displays a transition dynamics; and the transition time depends on the parameter $\lambda$ of the exponential…

Statistics Theory · Mathematics 2016-06-21 Weihua Deng , Wanli Wang , Xinchun Tian , Yujiang Wu

Logarithmic aging phenomena are prevalent in various systems, including electronic materials and biological structures. This study utilizes a generalized continuous time random walk (CTRW) framework to investigate the mechanisms behind the…

Statistical Mechanics · Physics 2024-09-24 Chunyan Li , Haiwen Liu , X. C. Xie

We study spatio-temporal fluctuations in the non-equilibrium dynamics of the d dimensional O(N) in the large N limit. We analyse the invariance of the dynamic equations for the global correlation and response in the slow ageing regime under…

Statistical Mechanics · Physics 2009-11-11 Claudio Chamon , Leticia F. Cugliandolo , Hajime Yoshino

We analyze numerically the out-of-equilibrium relaxation dynamics of a long-range Hamiltonian system of $N$ fully coupled rotators. For a particular family of initial conditions, this system is known to enter a particular regime in which…

Statistical Mechanics · Physics 2009-11-07 Marcelo A. Montemurro , Francisco A. Tamarit , Celia Anteneodo

We investigate the behaviour of the response function in the one dimensional trap model using scaling arguments that we confirm by numerical simulations. We study the average position of the random walk at time tw+t given that a small bias…

Disordered Systems and Neural Networks · Physics 2009-11-10 E. M. Bertin , J. -P. Bouchaud

We comprehensively study non-equilibrium relaxation and aging processes in the two-dimensional random-site Ising model through numerical simulations. We discuss the dynamical correlation length as well as scaling functions of various…

Statistical Mechanics · Physics 2010-10-11 Hyunhang Park , Michel Pleimling

Aging refers to the evolution of system properties with waiting time $t_w$. It is a key feature of glassy dynamics. Recent experiments have demonstrated aging in biological systems that are inherently active with a magnitude of…

Soft Condensed Matter · Physics 2026-04-10 Soumitra Kolya , Nir S. Gov , Saroj Kumar Nandi

Cell monolayers and epithelial tissues display slow dynamics during the liquid-glass transitions, a phenomenon with direct relevance to embryogenesis, tumor metastases, and wound healing. In active cells, persistent motion and cell…

Soft Condensed Matter · Physics 2024-01-25 Meng-Yuan Li , Yan-Wei Li

The experimental time scale dependence of thermodynamic relations in out-of-equilibrium systems with aging phenomena is investigated theoretically by using only aging properties of the two-time correlation functions and the generalized…

Disordered Systems and Neural Networks · Physics 2009-10-31 Mitsuhiro Kawasaki

There exists compelling experimental evidence in numerous systems for logarithmically slow time evolution, yet its theoretical understanding remains elusive. We here introduce and study a generic transition process in complex systems, based…

Statistical Mechanics · Physics 2013-03-27 Michael A. Lomholt , Ludvig Lizana , Ralf Metzler , Tobias Ambjornsson