绝热近似方程对Ising模型的应用

本文将绝热近似方法用于Ising模型,提供了处理该类问题的一个微观方案。由Liouville方程得出的Master方程与通常的唯象理论相同,但唯象参量有明确的微观意义。在简化的热浴模型上,导出了跃迁速率常数的表达式。该表达式在经典近似下具有Arrhenius形式。由此理论还可以导出Landay—Ginzburg方程。对于该方程的解进行的初步讨论显示一种非均匀性增长的机制。

Application of Adiabatic Approximation Method to Ising Model

In this paper the adiabatic approximation method is applied to Ising model and a microscopic approach for this kind of problems is provided. The master equation introduced from Liouvi lle equation has the same form as usual phenomenological theory ,but the phenomenological parameters are all determinated in microscopic view. Based on a simple model of the heat bath, expressions of the rate constant are obtained and have Arrhenius form under classical approximation. Also the approach is used for deducing Landay-Ginzburg equation, for which solutions the preliminary discussion shows that a mechanism of inhomogene i ty occurs below the critical temperature.