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We provide evidence of an extremely slow thermalization occurring in the Discrete NonLinear Schr\"odinger (DNLS) model. At variance with many similar processes encountered in statistical mechanics - typically ascribed to the presence of…

Statistical Mechanics · Physics 2019-03-04 Stefano Iubini , Liviu Chirondojan , Gian-Luca Oppo , Antonio Politi , Paolo Politi

We study the problem of phase separation in systems with a positive definite order parameter, and in particular, in systems with absorbing states. Owing to the presence of a single minimum in the free energy driving the relaxation kinetics,…

Condensed Matter · Physics 2009-10-31 M. A. Munoz , U. Marini Bettolo Marconi , R. Cafiero

The scaling behavior of model C describing the dynamical behaviour of the $n$-component nonconserved order parameter coupled statically to a scalar conserved density is considered in $d$-dimensional space. Conditions for the realization of…

Statistical Mechanics · Physics 2016-03-07 M. Dudka , R. Folk , Yu. Holovatch

We investigate the dynamic phase transition in two-dimensional Ising models whose equilibrium characteristics are influenced by either anisotropic interactions or quenched defects. The presence of anisotropy reduces the dynamical critical…

Statistical Mechanics · Physics 2025-03-07 Federico Ettori , Thibaud Coupé , Timothy J. Sluckin , Ezio Puppin , Paolo Biscari

Critical slowing down of the relaxation of the order parameter is relevant both in early the universe and in ultrarelativistic heavy ion collisions. We study the relaxation rate of the order parameter in an O(N) scalar theory near the…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Boyanovsky , H. J. de Vega , M. Simionato

Slow relaxation occurs in many physical and biological systems. `Creep' is an example from everyday life: when stretching a rubber band, for example, the recovery to its equilibrium length is not, as one might think, exponential: the…

Disordered Systems and Neural Networks · Physics 2015-06-03 Ariel Amir , Yuval Oreg , Yoseph Imry

We present a computational investigation on the slow dynamics of a mixture of large and small soft spheres. By varying the size disparity at a moderate fixed composition different relaxation scenarios are observed for the small particles.…

Soft Condensed Matter · Physics 2007-05-23 Angel J. Moreno , Juan Colmenero

We investigate the critical dynamics of the $n$-component relaxational models C and D which incorporate the coupling of a nonconserved and conserved order parameter S, respectively, to the conserved energy density rho, under nonequilibrium…

Statistical Mechanics · Physics 2009-11-10 Vamsi K. Akkineni , Uwe C. Tauber

We study numerically the two-dimensional Ising model with non-conserved dynamics quenched from an initial equilibrium state at the temperature $T_i\ge T_c$ to a final temperature $T_f$ below the critical one. By considering processes…

Statistical Mechanics · Physics 2016-05-06 Federico Corberi , Rodrigo Villavicencio-Sanchez

The influence of an applied shear field on the dynamics of an aging colloidal suspension has been investigated by the dynamic light scattering determination of the density autocorrelation function. Though a stationary state is never…

Soft Condensed Matter · Physics 2009-11-10 R. Di Leonardo , F. Ianni , G. Ruocco

We propose that there exists a generic class of glass forming systems that have competing states (of crystalline order or not) which are locally close in energy to the ground state (which is typically unique). Upon cooling, such systems…

Statistical Mechanics · Physics 2009-11-13 Valery Ilyin , Itamar Procaccia , Ido Regev , Nurith Schupper

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

The aging part $R_{ag}(t,s)$ of the impulsive response function of the two dimensional ferromagnetic Ising model, quenched below the critical point, is studied numerically employing a new algorithm without the imposition of the external…

Statistical Mechanics · Physics 2008-07-03 Federico Corberi , Eugenio Lippiello , Marco Zannetti

Equilibrium and non-equilibrium relaxation behaviors of two-dimensional superconducting arrays are investigated via numerical simulations at low temperatures in the presence of incommensurate transverse magnetic fields, with frustration…

Statistical Mechanics · Physics 2009-11-13 Gun Sang Jeon , Sung Jong Lee , Bongsoo Kim , M. Y. Choi

We report a study of nonequilibrium relaxation in a two-dimensional random field Ising model at a nonzero temperature. We attempt to observe the coarsening from a different perspective with a particular focus on three dynamical quantities…

Statistical Mechanics · Physics 2014-07-08 Pradipta Kumar Mandal , Suman Sinha

We numerically investigate the long-time behavior of the density-density auto-correlation function in driven lattice gases with particle exclusion and periodic boundary conditions in one, two, and three dimensions using precise Monte Carlo…

Statistical Mechanics · Physics 2011-05-06 George L. Daquila , Uwe C. Tauber

We analyse numerically the critical behavior of an absorbing phase transition in a conserved lattice gas in an external field. The external field is realized as a spontaneous creation of active particles which drives the system away from…

Statistical Mechanics · Physics 2009-11-07 S. Lubeck

We study the dynamical scaling of long-range $\mathrm{O}(N)$ models after a sudden quench to the critical temperature, using the functional renormalization group approach. We characterize both short-time aging and long-time relaxation as a…

Statistical Mechanics · Physics 2026-01-08 Valerio Pagni , Friederike Ihssen , Nicolò Defenu

We study an influence of the quenched extended defects on the critical dynamics of the d=3-dimensional systems with m-component non-conserved order parameter (model A dynamics). Considering defects to be correlated in \epsilon_d dimensions…

Disordered Systems and Neural Networks · Physics 2009-09-15 V. Blavatska , M. Dudka , R. Folk , Yu. Holovatch

We consider the modified Ising model introduced by de Oliveira et al. [J.Phys.A {\bf 26}, 2317 (1993)], where the temperature depends locally on the spin configuration and detailed balance and local equilibrium are not obeyed. We derive a…

Statistical Mechanics · Physics 2009-09-29 Natascia Andrenacci , Federico Corberi , Eugenio Lippiello