Abstract:
The kinetic equation for this subsystem, a generalized Kramers–Fokker–Planck equation,
which is an extension of the Liouville equation to the case of a nonisolated system, is derived
by using the method of nonequilibrium distribution functions developed earlier by one of the
authors.
Citation:
A. G. Bashkirov, D. N. Zubarev, “Statistical derivation of the Kramers–Fokker–Planck equation”, TMF, 1:3 (1969), 407–420; Theoret. and Math. Phys., 1:3 (1969), 311–319
This publication is cited in the following 13 articles:
FABIO S. VANNUCCHI, AUREA R. VASCONCELLOS, ROBERTO LUZZI, “THERMO-STATISTICAL THEORY OF KINETIC AND RELAXATION PROCESSES”, Int. J. Mod. Phys. B, 23:27 (2009), 5283
Mario Nicodemi, Henrik Jeldtoft Jensen, “Equilibrium and off-equilibrium dynamics in a model for vortices in superconductors”, Phys. Rev. B, 65:14 (2002)
Mario Nicodemi, Henrik Jeldtoft Jensen, “Ageing and memory phenomena in magnetic and transport properties of vortex matter”, J. Phys. A: Math. Gen., 34:41 (2001), 8425
V.V. Dobrovitski, M.I. Katsnelson, B.N. Harmon, “Statistical coarse-graining as an approach to multiscale problems in magnetism”, Journal of Magnetism and Magnetic Materials, 221:3 (2000), L235
A. P. Grinin, F. M. Kuni, “Thermal and fluctuation effects of nonisothermal nucleation”, Theoret. and Math. Phys., 80:3 (1989), 968–980
A. G. Bashkirov, “Nonequilibrium statistical mechanics of heterogeneous systems.
II. Brownian motion of a large particle”, Theoret. and Math. Phys., 44:1 (1980), 623–629
D. N. Zubarev, “Contemporary methods of the statistical theory of nonequilibrium processes”, J. Soviet Math., 16:6 (1981), 1509–1571
D. N. Zubarev, A. M. Khazanov, “Generalized Fokker–Planck equation and construction of projection operators for different methods of reduced description of nonequilibrium states”, Theoret. and Math. Phys., 34:1 (1978), 43–50
A. I. Sokolovsky, M. Yu. Tseitlin, “Theory of Brownian motion in Bogolyubov's method of abbreviated description”, Theoret. and Math. Phys., 33:3 (1977), 1105–1111
A. V. Prozorkevich, S. A. Smolyanskii, “Derivation of relativistic transport equations of a plasma in a strong electromagnetic field”, Theoret. and Math. Phys., 23:3 (1975), 608–614
R. Kh. Amirov, S. A. Smolyanskii, L. Sh. Shekhter, “Derivation of kinetic equations of classical statistical mechanics in the weak-interaction approximation by the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 16:1 (1973), 723–728
D. N. Zubarev, M. Yu. Novikov, “Generalized formulation of the boundary condition for the Liouville equation and for the BBGKY hierarchy”, Theoret. and Math. Phys., 13:3 (1972), 1229–1238
D. N. Zubarev, “Boundary conditions for statistical operators in the theory of nonequilibrium processes and quasiaverages”, Theoret. and Math. Phys., 3:2 (1970), 505–512
Citation in format AMSBIB
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