【摘要】 本文从闭路格林函数顶角方程出发,推导出临界动力学中序参量和守恒量所满足的广义朗之万方程。根据Ward-Takahashi恒等式和线性响应理论,确定守恒量方程应具有的形式,它自动包含了模-模耦合项。考察不同的对称群,得到临界动力学的各种模型。整个理论框架也可用于描述远离平衡的稳态附近的行为。更多还原

【Abstract】 Starting from the equations satisfied by the vertex functions on the closed time path, we derived the generalized Langevin equations for the order parameters and the conserved variables. The proper form of the equations for the conserved variables, including automatically the mode coupling terms, was determined from the Ward-Taka-hashi identities and the linear response theory. All existing dynamic models were recovered by assuming the corresponding symmetry properties of the system. The whole theoretical framework is also applicable for describing the systems near steady states far from equilibrium.更多还原