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We study the early time dynamics of bimodal spin systems on $2d$ lattices evolving with different microscopic stochastic updates. We treat the ferromagnetic Ising model with locally conserved order parameter (Kawasaki dynamics), the same…

统计力学 · 物理学 2018-08-14 Alessandro Tartaglia , Leticia F. Cugliandolo , Marco Picco

After a sudden quench from the disordered high-temperature $T_0\to\infty$ phase to a final temperature below the critical point $T_F \ll T_c$, the non-conserved order parameter dynamics of the two-dimensional ferromagnetic Ising model on a…

The transport of excitation probabilities amongst weakly coupled subunits is investigated for a class of finite quantum systems. It is demonstrated that the dynamical behavior of the transported quantity depends on the considered length…

统计力学 · 物理学 2007-10-09 Robin Steinigeweg , Heinz-Peter Breuer , Jochen Gemmer

A spin-$s$ variable-range interacting Ising model may display qualitatively different behaviors depending on the fall-off rate of the interactions, as already seen in equilibrium studies of spin-1/2 systems. We propose a dynamical method…

量子物理 · 物理学 2026-02-10 Keshav Das Agarwal , Debkanta Ghosh , Pritam Halder , Aditi Sen De

We study the low-temperature coarsening of an Ising chain subject to spin-exchange dynamics and a small driving force. This dynamical system reduces to a domain diffusion process, in which entire domains undergo nearest-neighbor hopping,…

统计力学 · 物理学 2009-10-31 V. Spirin , P. L. Krapivsky , S. Redner

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…

凝聚态物理 · 物理学 2007-05-23 J. Kisker H. Rieger , M. Schreckenberg

We introduce a new class of growth models, with a surface restructuring mechanism in which impinging particles may dislodge suspended particles, previously aggregated on the same column in the deposit. The flux of these particles is…

统计力学 · 物理学 2013-03-14 J. S. Oliveira Filho , T. J. Oliveira , J. A. Redinz

We explore the effect of interplay of interfacial noise and curvature driven dynamics in a binary spin system. An appropriate model is the generalised two dimensional voter model proposed earlier (J. Phys. A: Math. Gen. {\bf 26}, 2317…

统计力学 · 物理学 2017-02-09 Parna Roy , Parongama Sen

Aging phenomena of short-range Ising spin glass models have been investigated using Monte Carlo simulations. It is found that in the low-temperature spin-glass phase the mean domain size exhibits a crossover from a power-law growth…

无序系统与神经网络 · 物理学 2009-10-31 Koji Hukushima , Hajime Yoshino , Hajime Takayama

This paper reports numerical studies of a compressible version of the Ising spin glass in two dimensions. Compressibility is introduced by adding a term that couples the spin-spin interactions and local lattice deformations to the standard…

无序系统与神经网络 · 物理学 2013-05-29 Adam H. Marshall

We study two-dimensional Ising spins, evolving through reinforcement learning using their state, action, and reward. The state of a spin is defined as whether it is in the majority or minority with its nearest neighbours. The spin updates…

统计力学 · 物理学 2022-11-22 Pranay Bimal Sampat , Ananya Verma , Riya Gupta , Shradha Mishra

We study the dynamic and metastable properties of the fully connected Ising $p$-spin model with finite number of variables. We define trapping energies, trapping times and self correlation functions and we analyse their statistical…

无序系统与神经网络 · 物理学 2019-08-13 D. A. Stariolo , L. F. Cugliandolo

This article is accepted for publication in the "Annals I.H.P. Prob. & Stat.". We investigate the ballistic behavior of diffusions in random environment. We introduce conditions in the spirit of (T) and (T') of the discrete setting, cf.…

概率论 · 数学 2015-06-26 Tom Schmitz

We have studied numerically the dynamics of spin glasses with Ising and XY symmetry (gauge glass) in space dimensions 2, 3, and 4. The nonequilibrium spin-glass susceptibility and the nonequilibrium energy per spin of samples of large size…

无序系统与神经网络 · 物理学 2007-05-23 Helmut G. Katzgraber , I. A. Campbell

We investigate the persistence properties of critical d-dimensional systems relaxing from an initial state with non-vanishing order parameter (e.g., the magnetization in the Ising model), focusing on the dynamics of the global order…

统计力学 · 物理学 2011-02-14 Andrea Gambassi , Raja Paul , Gregory Schehr

We study the phase-ordering kinetics following a quench to a final temperature $T_f$ of the one-dimensional p-state clock model. We show the existence of a critical value $p_c=4$, where the properties of the dynamics change. At $T_f=0$, for…

统计力学 · 物理学 2009-11-11 Natascia Andrenacci , Federico Corberi , Eugenio Lippiello

Non-equilibrium dynamics of classical random Ising spin chains are studied using asymptotically exact real space renormalization group. Specifically the random field Ising model with and without an applied field (and the Ising spin glass…

凝聚态物理 · 物理学 2009-10-31 Daniel S. Fisher , Pierre Le Doussal , Cecile Monthus

We consider the non-conserved dynamics of the Ising model on the two-dimensional square lattice, where each spin is influenced preferentially by its East and North neighbours. The single-spin flip rates are such that the stationary state is…

统计力学 · 物理学 2014-12-09 Claude Godreche , Michel Pleimling

We investigate the geometric properties displayed by the magnetic patterns developing on a two-dimensional Ising system, when a diffusive thermal dynamics is adopted. Such a dynamics is generated by a random walker which diffuses throughout…

统计力学 · 物理学 2008-10-02 E. Agliari , R. Burioni , D. Cassi , A. Vezzani

We characterize a transition from normal to ballistic diffusion in a bouncing ball dynamics. The system is composed of a particle, or an ensemble of non-interacting particles, experiencing elastic collisions with a heavy and periodically…