arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.00698cond-mat.stat-mech
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非平衡动力学从临界点淬火后的老化指数

Aging Exponents for Nonequilibrium Dynamics following Quenches from Critical Point

Koyel Das, Nalina Vadakkayil, Subir K. Das

摘要:

通过蒙特卡罗模拟,我们研究了最近邻伊辛模型的非平衡动力学,以下淬火点内的有序区域的相图。随着量化的非平衡普适性类对应于空间相关和不相关的初始配置的广泛的目标,在本文中,我们提出了结果的顺序参数的自相关函数的猝灭从临界点的衰减。这种自相关性是一个重要的探针,在远离平衡系统的老化动力学,通常表现出幂律标度。从国家的最先进的模拟结果的分析,我们量化相应的指数($\mathbfλ$)的保守和非保守(序参量)的模型的动态,在空间维度$d=3$。通过结构分析,我们证明了指数满足一个界。我们还重新访问了$d=2$的情况下,以获得更准确的结果。看来,无论维数,$λ$是相同的保守和非保守动力学。

英文摘要:

Via Monte Carlo simulations we study nonequilibrium dynamics in the nearest-neighbor Ising model, following quenches to points inside the ordered region of the phase diagram. With the broad objective of quantifying the nonequilibrium universality classes corresponding to spatially correlated and uncorrelated initial configurations, in this paper we present results for the decay of the order-parameter autocorrelation function for quenches from the critical point. This autocorrelation is an important probe for the aging dynamics in far-from-equilibrium systems and typically exhibits power-law scaling. From the state-of-the-art analysis of the simulation results we quantify the corresponding exponents ($\mathbfλ$) for both conserved and nonconserved (order parameter) dynamics of the model, in space dimension $d=3$. Via structural analysis we demonstrate that the exponents satisfy a bound. We also revisit the $d=2$ case to obtain more accurate results. It appears that irrespective of the dimension, $λ$ is same for both conserved and nonconserved dynamics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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