Colored noise influence on the system evolution

Details Colored noise influence on the system evolution Colored noise influence on the system evolution

2001-10-15

arxiv.org/abs/cond-mat/0110288v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 8 figures, LaTeX. Submitted to EPJ-B

Scientific paper

10.1140/epjb/e2002-00266-x

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 $x^a$ 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.

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