摘要
We report the nonequilibrium dynamical phase transition (NDPT) appearing in a kinetic Ising spin system (ISS) subject to the joint application of a deterministic ex-ternal field and the stochastic mutually correlated noises simultaneously. A time-dependent Ginzburg-Landau sto-chastic differential equation, including an oscillating modu-lation and the correlated multiplicative and additive white noises, was addressed and the numerical solution to the rele-vant Fokker-Planck equation was presented on the basis of an average-period approach of driven field. The correlated white noises and the deterministic modulation induce a kind of dynamic symmetry-breaking order, analogous to the sto-chastic resonance in trend, in the kinetic ISS, and the reen-trant transition has been observed between the dynamic disorder and order phases when the intensities of multiplicative and additive noises were changing. The dependencies of a dynamic order parameter Q upon the intensities of additive noise A and multiplicative noise M, the correlation λ between two noises, and the amplitude of applied external field h were investigated quantitatively and visualized vividly. Here a brief discussion is given to outline the underlying mechanism of the NDPT in a kinetic ISS driven by an external force and correlated noises.
We report the nonequilibrium dynamical phase transition （NDPT） appearing in a kinetic Ising spin system （ISS） subject to the joint application of a deterministic external field and the stochastic mutually correlated noises simultaneously. A time-dependent Ginzburg-Landau stochastic differential equation, including an oscillating modulation and the correlated multiplicative and additive white noises, was addressed and the numerical solution to the relevant Fokker-Planck equation was presented on the basis of an average-period approach of driven field. The correlated white noises and the deterministic modulation induce a kind of dynamic symmetry-breaking order, analogous to the stochastic resonance in trend, in the kinetic ISS, and the reentrant transition has been observed between the dynamic disorder and order phases when the intensities of multiplicative and additive noises were changing. The dependencies of a dynamic order parameter Q upon the intensities of additive noise A and multiplicative noise M, the correlation λ between two noises, and the amplitude of applied external field h were investigated quantitatively and visualized vividly. Here a brief discussion is given to outline the underlying mechanism of the NDPT in a kinetic ISS driven by an external force and correlated noises.
基金
supported by the National Natural Science Foundation of China(Grant No.60471023)
the Natural Science Foundation of Guangdong Province(Grant No.031544)
关键词
非平衡动力学
旋转模型
调制技术
随机噪音
随机响应
Ising spin system, nonequilibrium dynamical phase transition, stochastic resonance, correlated noises, TDGL model
