Closure of the Monte Carlo dynamical equations in the spherical Sherrington-Kirkpatrick model.
Closure of the Monte Carlo dynamical equations in the spherical Sherrington-Kirkpatrick model.
复制标题
球形 Sherrington-Kirkpatrick 模型中蒙特卡洛动力学方程的闭合。
DOI：
10.1103/physrevb.54.4170
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
F. Ritort
中科院分区：
文献类型：
--
作者：
L. Bonilla;F. G. Padilla;G. Parisi;F. Ritort
本文利用生成函数技术研究了球形Sherrington-Kirkpatrick模型的Monte Carlo动力学的解析解。一次性可观测量的显式解~比如能量！和两次观测量~像相关和响应函数！获得了我们表明，决定动态的关键量是接受率。在零温度下，绝热近似揭示了该模型的弛豫行为对应于具有有效重整化质量的单个谐振子。@S0163-1829~96！00129-4#
We study the analytical solution of the Monte Carlo dynamics in the spherical Sherrington-Kirkpatrick model using the technique of the generating function. Explicit solutions for one-time observables ~like the energy! and two-time observables ~like the correlation and response function! are obtained. We show that the crucial quantity which governs the dynamics is the acceptance rate. At zero temperature, an adiabatic approximation reveals that the relaxational behavior of the model corresponds to that of a single harmonic oscillator with an effective renormalized mass. @S0163-1829~96!00129-4#