Geodesic
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 
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/
@article{TMF_1990_85_2_a10,
     author = {A. V. Soldatov},
     title = {Kinetic equation in~the theory of~nonequilibrium phase transitions induced by~{\textquotedblleft}colored{\textquotedblright} multiplicative noise},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {288--301},
     year = {1990},
     volume = {85},
     number = {2},
     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
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
%U http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a10/
%G ru
%F TMF_1990_85_2_a10

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Khorstkhemke V., Lefevr R., Indutsirovannye shumom perekhody, Mir, M., 1987 | MR

[2] Gardiner K. V., Stokhasticheskie metody v estestvennykh naukakh, Mir, M., 1986 | MR | Zbl

[3] Bogolyubov N. N., Bogolyubov N. N. (ml.), Vvedenie v kvantovuyu statisticheskuyu mekhaniku, Nauka, M., 1984 | MR

[4] Zubarev D. N., “Sovremennye metody statisticheskoi teorii neravnovesnykh protsessov”, Sovremennye problemy matematiki. Itogi nauki i tekhniki, 15, VINITI, M., 1980, 131–226 | MR | Zbl