H-theorem for electrostatic or self-gravitating Vlasov-Poisson-Fokker-Planck systems

被引：12

作者：

Bonilla, LL ^{[1
]}

Carrillo, JA ^{[1
]}

Soler, J ^{[1
]}

机构：

[1] UNIV GRANADA,FAC CIENCIAS,DEPT MATEMAT APLICADA,E-18071 GRANADA,SPAIN

来源：

PHYSICS LETTERS A | 1996年 / 212卷 / 1-2期

关键词：

Vlasov-Poisson-Fokker-Planck equation; H-theorem; Poisson-Boltzmann-Emden equation;

D O I：

10.1016/0375-9601(96)00050-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The H-theorem and the asymptotic behavior for the Vlasov-Poisson-Fokker-Planck system are found. On bounded domains, boundary conditions defined by a scattering kernel are considered. The distribution function evolves to a Maxwellian solving the Poisson-Boltzmann-Emden equation with Dirichlet or Neumann boundary conditions.

引用

页码：55 / 59

页数：5

共 13 条

[1] ARNOLD A, UNPUB TRANSP THEORY
[2] EQUILIBRIUM PROPERTIES OF THE VLASOV FUNCTIONAL - THE GENERALIZED POISSON-BOLTZMANN-EMDEN EQUATION
BAVAUD, F
[J]. REVIEWS OF MODERN PHYSICS, 1991, 63 (01) : 129 - 149
[3] DYNAMICS OF A SOFT-SPIN VANHEMMEN MODEL .1. PHASE AND BIFURCATION DIAGRAMS FOR STATIONARY DISTRIBUTIONS
BONILLA, LL
CASADO, JM
[J]. JOURNAL OF STATISTICAL PHYSICS, 1989, 56 (1-2) : 113 - 125
[4] BONILLA LL, UNPUB SIAM J APPL MA
[5] Cercignani C., 1989, Transport Theory and Statistical Physics, V18, P125, DOI 10.1080/00411458908214503
[6] Cercignani C., 1994, SPRINGER SERIES APPL, V106
[7] JOSEPH DD, 1973, ARCH RATION MECH AN, V49, P241
[8] KRZYWICKI A, 1991, ZASTOSOW MAT, V21, P265
[9] IRREVERSIBLE GIBBSIAN ENSEMBLES
LEBOWITZ, JL
BERGMANN, PG
[J]. ANNALS OF PHYSICS, 1957, 1 (01) : 1 - 23
[10] Lifshitz E. M., 1981, Physical Kinetics, DOI DOI 10.1016/C2009-0-25523-1

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