Functional equation for the crossover in the model of one-dimensional Weierstrass random walks |
| |
| Authors: | Yu G Rudoi O A Kotel’nikova |
| |
| Institution: | 1.Peoples’ Friendship University of Russia,Moscow,Russia;2.Lomonosov Moscow State University,Moscow,Russia |
| |
| Abstract: | We consider the problem of one-dimensional symmetric diffusion in the framework of Markov random walks of the Weierstrass type using two-parameter scaling for the transition probability. We construct a solution for the characteristic Lyapunov function as a sum of regular (homogeneous) and singular (nonhomogeneous) solutions and find the conditions for the crossover from normal to anomalous diffusion. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
