On the Stochastic Dynamics of Disordered Spin Models
On the Stochastic Dynamics of Disordered Spin Models
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无序自旋模型的随机动力学
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
A. Montanari
中科院分区：
文献类型：
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作者：
G. Semerjian;L. Cugliandolo;A. Montanari
在这篇文章中，我们讨论自旋模型的随机动力学的几个方面。本文分为两个独立的部分。首先，我们探讨了多点相关性的几个属性和一般系统的发展与热浴平衡的响应。我们提出了一个波动的原则，使我们能够得到许多时间的相关性和线性响应的波动耗散关系。我们还推测，这些功能将如何在系统中进行修改，慢慢演变出平衡，如有限维或稀释自旋玻璃。其次，我们提出了一种形式主义，允许人们推导出一系列近似方程，这些方程确定随机（超）图上无序自旋模型的动力学。
In this article we discuss several aspects of the stochastic dynamics of spin models. The paper has two independent parts. Firstly, we explore a few properties of the multi-point correlations and responses of generic systems evolving in equilibrium with a thermal bath. We propose a fluctuation principle that allows us to derive fluctuation–dissipation relations for many-time correlations and linear responses. We also speculate on how these features will be modified in systems evolving slowly out of equilibrium, such as finite-dimensional or dilute spin-glasses. Secondly, we present a formalism that allows one to derive a series of approximated equations that determine the dynamics of disordered spin models on random (hyper) graphs.