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2022-03-07
摘要翻译:
讨论了半无限大系统在完全无序的初始状态下制备,然后淬火到临界点或临界点以下的表面老化现象。除了在大维极限下精确求解半无限伊辛模型外,我们还对二维半无限伊辛模型粗化后的非平衡动力学行为进行了广泛的数值研究。所研究的模型揭示了一个简单的老化行为,其中一些非平衡表面指数的值不同于它们的体积对应物。对于二维半无限Ising模型,我们发现描述表面自相关标度行为的指数$B1$消失了。这些模拟还揭示了强的有限时间修正的存在,这些修正在一定程度上掩盖了所研究的两个时间量的主导标度行为。
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英文标题:
《Local aging phenomena close to magnetic surfaces》
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作者:
Florian Baumann and Michel Pleimling
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最新提交年份:
2007
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分类信息:

一级分类:Physics        物理学
二级分类:Statistical Mechanics        统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
  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 dimensions, we also present results of an extensive numerical study of the nonequilibrium dynamical behavior of the two-dimensional semi-infinite Ising model undergoing coarsening. The studied models reveal a simple aging behavior where some of the nonequilibrium surface exponents take on values that differ from their bulk counterparts. For the two-dimensional semi-infinite Ising model we find that the exponent $b_1$, that describes the scaling behavior of the surface autocorrelation, vanishes. These simulations also reveal the existence of strong finite-time corrections that to some extent mask the leading scaling behavior of the studied two-time quantities.
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PDF链接:
https://arxiv.org/pdf/708.2418
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