Geodesic
Ergodic properties of systems with an external potential in classical statistical mechanics
Izvestiya. Mathematics , Tome 34 (1990) no. 1, pp. 181-200.

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For infinite-particle systems of classical statistical mechanics, a method of describing the dynamics of a charged one-dimensional Brownian particle is obtained. Bibliography: 7 titles. 
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M. R. Soloveichik. Ergodic properties of systems with an external potential in classical statistical mechanics. Izvestiya. Mathematics , Tome 34 (1990) no. 1, pp. 181-200. http://geodesic.mathdoc.fr/item/IM2_1990_34_1_a7/

[1] Boldrigini C., Pellegrinotti A., Presutti E., Sinai Ya. G., Soloveichik M. R., “Ergodic Properti es of a Semi-Infinite One-Dimensional System of Statistical Mechanics”, Commun. Math. Phys., 101 (1985), 363–382 | DOI | MR

[2] Sinai Ya. G., “Postroenie dinamiki v odnomernykh sistemakh statisticheskoi mekhaniki”, Teor. i matem. fiz., 11:2 (1972), 248–258 | MR

[3] Kornfelf I. P., Sinai Ya. G., Fomin S. V., Ergodicheskaya teoriya, Nauka, M., 1980 | MR

[4] Ornstein D., Ergodicheskaya teoriya, sluchainost i dinamicheskie sistemy, Mir, M., 1978 | MR

[5] Lenford, “Evolyutsiya vo vremeni bolshikh klassicheskikh sistem”, Gibbsovskie sostoyaniya v statisticheskoi fizike, Mir, M., 1980

[6] Sinai Ya. G., Soloveichik M. R., “One-Dimensional Classical Massive Particle in the Ideal Gas”, Commun. Math. Phys., 104 (1986), 423–443 | DOI | MR | Zbl

[7] Goldstein S., Lebowitz J., Ravishankar K., “Ergodic Properties of a System in Contact with a Heat Bath”, Commun. Math. Phys., 85:3 (1982), 419–427 | DOI | MR | Zbl