摘要
(1)首次系统地和明显地给出了GME和CTRW在Laplace-Fourier表象的严格解以及时间-动量的一般解和渐近解;(2)讨论了上述各种形式的解的应用并给出了平均平方位移的各种表达形式.
In this paper (1)exact solutions of Laplace-Fourier representation of generalized master equation (GME) and continuous time random walk (CTRW) and general solutions and asymptotic solution of time-wave-vector dependence of them are systematically presented explicitly for the first time. (2) Some application of the solution as mentioned above are discussed and certain forms of expressions for the mean-displacement and the mean-squared displacement are given.
关键词
广义主方程
严格解
一般解
CTRW
渐近解
Generalized master equation Continuous-time random walk Exact solution General solution