Kinetic equation in~the theory of~nonequilibrium phase transitions induced by~``colored'' multiplicative noise
Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 2, pp. 288-301
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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.
@article{TMF_1990_85_2_a10,
author = {A. V. Soldatov},
title = {Kinetic equation in~the theory of~nonequilibrium phase transitions induced by~``colored'' multiplicative noise},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {288--301},
publisher = {mathdoc},
volume = {85},
number = {2},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a10/}
}
TY - JOUR AU - A. V. Soldatov TI - Kinetic equation in~the theory of~nonequilibrium phase transitions induced by~``colored'' multiplicative noise JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1990 SP - 288 EP - 301 VL - 85 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a10/ LA - ru ID - TMF_1990_85_2_a10 ER -
%0 Journal Article %A A. V. Soldatov %T Kinetic equation in~the theory of~nonequilibrium phase transitions induced by~``colored'' multiplicative noise %J Teoretičeskaâ i matematičeskaâ fizika %D 1990 %P 288-301 %V 85 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a10/ %G ru %F TMF_1990_85_2_a10
A. V. Soldatov. Kinetic equation in~the theory of~nonequilibrium phase transitions induced by~``colored'' multiplicative noise. Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 2, pp. 288-301. http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a10/