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The microscopic dependence of glassy equilibration on sample history, both the initial configuration and the specific sequence of random noise, is examined. The temporal evolution of spin configurations in a two-dimensional Ising spin glass…

无序系统与神经网络 · 物理学 2018-08-23 Jie Yang , A. Alan Middleton

The dynamics of a one dimensional Ising spin system is investigated using three families of local update rules, the Galam majority rules, Glauber inflow influences and Sznadj outflow drives. Given an initial density p of up spins the…

物理与社会 · 物理学 2010-12-13 Serge Galam , Andre C. R. Martins

We introduce kicked $p$-spin models describing a family of transverse Ising-like models for an ensemble of spin-$1/2$ particles with all-to-all $p$-body interaction terms occurring periodically in time as delta-kicks. This is the natural…

量子物理 · 物理学 2021-05-26 Manuel H. Muñoz-Arias , Pablo M. Poggi , Ivan H. Deutsch

The dependence of the scaling properties of the structure factor on space dimensionality, range of interaction, initial and final conditions, presence or absence of a conservation law is analysed in the framework of the large-N model for…

凝聚态物理 · 物理学 2009-10-22 Antonio Coniglio , Patrizia Ruggiero , Marco Zannetti

We have studied the kinetics of cluster formation for dynamical systems of dimensions up to $n=8$ interacting through elastic collisions or coalescence. These systems could serve as possible models for gas kinetics, polymerization and…

统计力学 · 物理学 2013-01-15 Carson McFadden , Louis-S. Bouchard

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…

统计力学 · 物理学 2014-07-08 Pradipta Kumar Mandal , Suman Sinha

Simulations of the two-dimensional Ising and 3-state Potts models at their critical points are performed using the invaded cluster (IC) algorithm. It is argued that observables measured on a sub-lattice of size l should exhibit a crossover…

统计力学 · 物理学 2009-10-31 K. Moriarty , J. Machta , L. Y. Chayes

Consider a system of particles performing nearest neighbor random walks on the lattice $\ZZ$ under hard--core interaction. The rate for a jump over a given bond is direction--independent and the inverse of the jump rates are i.i.d. random…

概率论 · 数学 2007-09-05 A. Faggionato , M. Jara , C. Landim

We investigate the dynamical critical behavior of the two- and three-dimensional Ising model with Glauber dynamics in equilibrium. In contrast to the usual standing, we focus on the mean-squared deviation of the magnetization $M$, MSD$_M$,…

统计力学 · 物理学 2023-09-22 Zihua Liu , Erol Vatansever , Gerard T. Barkema , Nikolaos G. Fytas

We use a modified Shan-Chen, noiseless lattice-BGK model for binary immiscible, incompressible, athermal fluids in three dimensions to simulate the coarsening of domains following a deep quench below the spinodal point from a symmetric and…

软凝聚态物质 · 物理学 2009-11-10 Nélido González-Segredo , Maziar Nekovee , Peter V. Coveney

Non-universal dynamics is shown to occur in a one-dimensional non-equilibrium system of hard-core particles. The stochastic processes included are pair creation and annihilation (with rates e and e') and symmetric hopping rates which…

统计力学 · 物理学 2009-10-31 R. B. Stinchcombe , J. E. Santos , M. D. Grynberg

We investigate scaling phenomena at first-order quantum transitions, when the boundary conditions favor one of the two phases. We show that the corresponding finite-size scaling behavior, arising from the interplay between the driving…

统计力学 · 物理学 2018-09-21 Andrea Pelissetto , Davide Rossini , Ettore Vicari

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…

统计力学 · 物理学 2023-06-21 Xiaohui Qian , Gaotian Yu , Nengji Zhou

We study hysteresis for a two-dimensional, spin-1/2, nearest-neighbor, kinetic Ising ferromagnet in an oscillating field, using Monte Carlo simulations. The period-averaged magnetization is the order parameter for a proposed dynamic phase…

统计力学 · 物理学 2009-10-31 S. W. Sides , P. A. Rikvold , M. A. Novotny

The Ising-Kac model is a variant of the ferromagnetic Ising model in which each spin variable interacts with all spins in a neighbourhood of radius $\gamma^{-1}$ for $\gamma \ll 1$ around its base point. We study the Glauber dynamics for…

概率论 · 数学 2015-01-30 Jean-Christophe Mourrat , Hendrik Weber

Conventional transport theory focuses on either the diffusive or ballistic regimes and neglects the crossover region between the two. In the presence of spin-orbit coupling, the transport equations are known only in the diffusive regime,…

介观与纳米尺度物理 · 物理学 2009-11-13 B. Andrei Bernevig , Jiangping Hu

One-dimensional non-equilibrium models of particles subjected to a coagulation-diffusion process are important in understanding non-equilibrium dynamics, and fluctuation-dissipation relation. We consider in this paper transport properties…

统计力学 · 物理学 2015-06-18 Jean-Yves Fortin

The dynamic magnetization-reversal phenomena in the Ising model under a finite-duration external magnetic field competing with the existing order for $T<T_c^0$ has been discussed. The nature of the phase boundary has been estimated from the…

统计力学 · 物理学 2007-05-23 Arnab Chatterjee , Bikas K. Chakrabarti

We introduce a simple model of opinion dynamics in which binary-state agents evolve due to the influence of agents in a local neighborhood. In a single update step, a fixed-size group is defined and all agents in the group adopt the state…

统计力学 · 物理学 2009-11-10 M. Mobilia , S. Redner

Using an Ising-like model of protein mechanical unfolding, we introduce a diffusive dynamics on its exactly known free energy profile, reducing the nonequilibrium dynamics of the model to a biased random walk. As an illustration, the model…

生物物理 · 物理学 2013-07-26 A. Pelizzola , M. Zamparo