Colored noise influence on the system evolution
arXiv:cond-mat/0110288 · doi:10.1140/epjb/e2002-00266-x
Abstract
We present a picture of phase transitions of the system with colored multiplicative noise. Considering the noise amplitude as the power-law dependence of the stochastic variable we show the way to phase transitions disorder-order and order-disorder. The governed equations for the order parameter and one-time correlator are obtained and investigated in details. The long-time asymptotes in the disordered and ordered domains on the phase portrait of the system are defined.
12 pages, 8 figures, LaTeX. Submitted to EPJ-B