Colored noise influence on the system evolution
D. O. Kharchenko, S. Kokhan
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 xa 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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