Abstract:
A formalism that makes it possible to obtain kinetic equations for a dynamical system under the influence of “colored” additive or multiplicative noise is proposed. The stationary solutions of these equations can be used to investigate nonequilibrium phase transitions induced by “colored” noise. The possibility of such a transition is studied in a specific nonlinear model. The possibility of generalizing the formalism to dynamical systems with noise sources is discussed.
Citation:
A. V. Soldatov, “Kinetic equation in the theory of nonequilibrium phase transitions induced by “colored” multiplicative noise”, TMF, 85:2 (1990), 288–301; Theoret. and Math. Phys., 85:2 (1990), 1213–1222
This publication is cited in the following 1 articles:
A. F. Konstantinov, V. M. Loginov, “Exact solvable models of nonlinear dynamic systems driven by coloured Ornstein–Uhlenbeck and Rayleigh noises”, Theoret. and Math. Phys., 97:3 (1993), 1370–1381