摘要翻译:
研究了由Edwards-Wilkinson方程描述的弹性线的非平衡松弛。虽然这个模型是界面动力学的最简单的表示,但我们强调弹性流形的非平衡松弛的许多(不是全部)重要方面已经存在于这样的二次清洁系统中。我们详细地分析了几个两倍平均和波动的可观测项的老化行为,同时考虑了有限尺寸效应和对平稳和平衡状态的交叉。我们从研究结构因子开始,并从它的衰减中提取出一个增长的相关长度。我们给出了界面粗糙度的两倍和尺寸依赖性,并将Family-Vicsek标度形式推广到非平衡情况。我们计算了非相干散射函数,并将其与在其他玻璃系统中测量的非相干散射函数进行了比较。我们分析了响应函数,在老化区对涨落耗散定理的违反,以及在平稳区对平衡关系的交叉。最后,我们研究了两次函数的非平衡涨落,并刻划了它们的概率分布函数的标度性质。我们的结果使我们对其他玻璃问题获得了新的见解,如胶体玻璃和涡流玻璃的老化行为。
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英文标题:
《Out-of-equilibrium relaxation of the Edwards-Wilkinson elastic line》
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作者:
Sebastian Bustingorry, Leticia F. Cugliandolo, Jos\'e Luis Iguain
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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:
We study the non-equilibrium relaxation of an elastic line described by the Edwards-Wilkinson equation. Although this model is the simplest representation of interface dynamics, we highlight that many (not though all) important aspects of the non-equilibrium relaxation of elastic manifolds are already present in such quadratic and clean systems. We analyze in detail the aging behaviour of several two-times averaged and fluctuating observables taking into account finite-size effects and the crossover to the stationary and equilibrium regimes. We start by investigating the structure factor and extracting from its decay a growing correlation length. We present the full two-times and size dependence of the interface roughness and we generalize the Family-Vicsek scaling form to non-equilibrium situations. We compute the incoherent cattering function and we compare it to the one measured in other glassy systems. We analyse the response functions, the violation of the fluctuation-dissipation theorem in the aging regime, and its crossover to the equilibrium relation in the stationary regime. Finally, we study the out-of-equilibrium fluctuations of the previously studied two-times functions and we characterize the scaling properties of their probability distribution functions. Our results allow us to obtain new insights into other glassy problems such as the aging behavior in colloidal glasses and vortex glasses.
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PDF链接:
https://arxiv.org/pdf/705.3348