Stochastic approach and functional models in the kinetic theory of gases
Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 2, pp. 224-239

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The stochastic approach [1] is applied to the theory of nonequilibrum processes in a correlated and fluctuating gas with binary collisions. Markov processes are considered that make it possible to treat in a unified manner the fluctuation and dissipation properties of a nonequilibrium system when its evolution is described on space-time scales characteristic of the kinetic theory. A nonlinear stochastic equation is obtained for the singleparticle density that is suitable for describing large fluctuations in unstable and strongly correlated states of a nonequitibrium gas.
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     author = {O. A. Grechannyi},
     title = {Stochastic approach and functional models in the kinetic theory of gases},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {224--239},
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     volume = {36},
     number = {2},
     year = {1978},
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O. A. Grechannyi. Stochastic approach and functional models in the kinetic theory of gases. Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 2, pp. 224-239. http://geodesic.mathdoc.fr/item/TMF_1978_36_2_a6/