English
Related papers

Related papers: Aging during Phase Separation in Long-Range Ising …

200 papers

Aging in a two-dimensional Ising spin model with both ferromagnetic exchange and antiferromagnetic dipolar interactions is established and investigated via Monte Carlo simulations. The behaviour of the autocorrelation function $C(t,t_w)$ is…

Statistical Mechanics · Physics 2009-10-31 Julio H. Toloza , Francisco A. Tamarit , Sergio A. Cannas

We consider the Ising model on a small-world network, where the long-range interaction strength $J_2$ is in general different from the local interaction strength $J_1$, and examine its relaxation behaviors as well as phase transitions. As…

Statistical Mechanics · Physics 2009-11-11 Daun Jeong , M. Y. Choi , Hyunggyu Park

Surface aging phenomena are discussed for semi-infinite systems prepared in a fully disordered initial state and then quenched to or below the critical point. Besides solving exactly the semi-infinite Ising model in the limit of large…

Statistical Mechanics · Physics 2009-11-13 Florian Baumann , Michel Pleimling

After a zero temperature quench, we study the kinetics of the one-dimensional Ising model with long-range interactions between spins at distance $r$ decaying as $r^{-\alpha}$, with $\alpha \le 1$. As shown in our recent study [SciPost Phys…

Statistical Mechanics · Physics 2023-08-09 Federico Corberi , Manoj Kumar , Eugenio Lippiello , Paolo Politi

Results of extensive Monte-Carlo simulations that investigate the out-of-equilibrium dynamics of the one-dimensional Ising spin glass model with a Gaussian bond-distribution are presented. At low enough temperatures a typical (interrupted)…

Condensed Matter · Physics 2007-05-23 H. Rieger J. Kisker , M. Schreckenberg

The long-time dynamics of the $d$-dimensional spherical model with a non-conserved order parameter and quenched from an initial state with long-range correlations is studied through the exact calculation of the two-time autocorrelation and…

Statistical Mechanics · Physics 2008-11-26 Alan Picone , Malte Henkel

Aging in a two dimensional suspension containing rods was studied by means of kinetic Monte Carlo simulations. An off-lattice model with continuous positional and orientational degrees of freedom was considered. The initial state was…

Statistical Mechanics · Physics 2019-11-01 Nikolai I. Lebovka , Nikolai V. Vygornitskii , Yuri Yu. Tarasevich

We present results of a Monte Carlo study for the ferromagnetic Ising model with long range interactions in two dimensions. This model has been simulated for a large range of interaction parameter $\sigma$ and for large sizes. We observe…

Statistical Mechanics · Physics 2012-07-06 Marco Picco

Using Monte Carlo simulations, we have studied isothermal aging of three-dimensional Ising spin-glass model focusing on quasi-equilibrium behavior of the spin auto-correlation function. Weak violation of the time translational invariance in…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

Using Monte Carlo simulations, we have studied aging phenomena in three-dimensional Gaussian Ising spin-glass model focusing on quasi-equilibrium behavior of the spin auto-correlation functions. Weak violation of the time translational…

Disordered Systems and Neural Networks · Physics 2015-06-25 H. Takayama , H. Yoshino , T. Komori

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

Behavior of two-time autocorrelation during the phase separation in solid binary mixtures are studied via numerical solutions of the Cahn-Hilliard equation as well as Monte Carlo simulations of the Ising model. Results are analyzed via…

Statistical Mechanics · Physics 2015-09-02 Jiarul Midya , Suman Majumder , Subir K. Das

We discuss relaxation and aging processes in the one- and two-dimensional $ABC$ models. In these driven diffusive systems of three particle types, biased exchanges in one direction yield a coarsening process characterized in the long time…

Statistical Mechanics · Physics 2015-05-13 Mark O. Brown , Robert H. Galyean , Xiangwen Wang , Michel Pleimling

The kinetics of the long-range spherical model evolving from various initial states is studied. In particular, the large-time auto-correlation and -response functions are obtained, for classes of long-range correlated initial states, and…

Statistical Mechanics · Physics 2009-11-13 Sreedhar B. Dutta

The non-equilibrium dynamics of a one-dimensional Ising model with uniform, short-ranged three-spin interactions is investigated. It is shown that this model possesses an exponentially large number of metastable configurations that are…

Condensed Matter · Physics 2007-05-23 J. Kisker H. Rieger , M. Schreckenberg

The celebrated {\it fluctuation dissipation theorem} (FDT) does not apply to nonequilibrium systems. In this context, Cugliandolo and Kurchan [Phys. Rev. Lett. {\bf 71}, 173 (1993)] introduced a generalized FDT which interprets the…

Statistical Mechanics · Physics 2025-12-25 Parbati Saha , Sanjay Puri , Varsha Banerjee

We study the dynamics of phase ordering of a non-conserved, scalar order parameter in one dimension, with long-range interactions characterized by a power law $r^{-d-\sigma}$. In contrast to higher dimensional systems, the point nature of…

Condensed Matter · Physics 2009-10-22 B. P. Lee , J. L. Cardy

Via computer simulations we study evolution dynamics in systems of continuously moving Active Brownian Particles. The obtained results are discussed against those from the passive 2D Ising case. Following sudden quenches of uniform…

Soft Condensed Matter · Physics 2022-12-14 Florian Dittrich , Jiarul Midya , Peter Virnau , Subir K. Das

The Chapter is devoted to reviewing the main features of aging in non disordered systems relaxing via domain growth, after an istantaneous temperature quench. Using the autocorrelation and autoresponse functions to gauge the deviation from…

Statistical Mechanics · Physics 2014-12-16 Marco Zannetti

Aging in phase-ordering kinetics of the $d=3$ Ising model following a quench from infinite to zero temperature is studied by means of Monte Carlo simulations. In this model the two-time spin-spin autocorrelator $C_\text{ag}$ is expected to…

Statistical Mechanics · Physics 2026-02-13 Denis Gessert , Henrik Christiansen , Wolfhard Janke