Nonlinear Fokker-Planck equations related to standard thermostatistics

被引:0
作者
Schwaemmle, V. [1 ]
Curado, E. M. F. [1 ]
Nobre, F. D. [1 ]
机构
[1] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, RJ, Brazil
来源
COMPLEXITY, METASTABILITY AND NONEXTENSIVITY | 2007年 / 965卷
关键词
nonlinear Fokker-Planck equations; Boltzmann distribution; entropy;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Proving the H-theorem by making use of nonlinear Fokker-Planck equations leads to classes of these equations related to the same entropy and their equilibrium state corresponds to the one obtained by maximizing such an entropy under constraints of an external potential. In the present work the numerical integration of a subset of the class associated to the Boltzmann-Gibbs entropy is carried out and the dynamics of such systems is analyzed.
引用
收藏
页码:152 / 156
页数:5
相关论文
共 18 条
[1]   Information gain within nonextensive thermostatistics [J].
Borland, L ;
Plastino, AR ;
Tsallis, C .
JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (12) :6490-6501
[2]   Ito-Langevin equations within generalized thermostatistics [J].
Borland, L .
PHYSICS LETTERS A, 1998, 245 (1-2) :67-72
[3]   Generalized Fokker-Planck equations and effective thermodynamics [J].
Chavanis, PH .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 340 (1-3) :57-65
[4]   Generalized thermodynamics and Fokker-Planck equations: Applications to stellar dynamics and two-dimensional turbulence [J].
Chavanis, PH .
PHYSICAL REVIEW E, 2003, 68 (03) :20
[5]   Derivation of nonlinear Fokker-Planck equations by means of approximations to the master equation [J].
Curado, EMF ;
Nobre, FD .
PHYSICAL REVIEW E, 2003, 67 (02) :7-211077
[6]   Nonlinear Fokker-Planck equations whose stationary solutions make entropy-like functionals stationary [J].
Frank, TD ;
Daffertshofer, A .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1999, 272 (3-4) :497-508
[7]   Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics [J].
Frank, TD ;
Daffertshofer, A .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2001, 292 (1-4) :392-410
[8]  
FRANK TD, 2005, NONLINEAR F PLANCK E
[9]  
Muskat M., 1946, The Flow of Homogeneous Fluids through Porous Media
[10]   A procedure for obtaining general nonlinear Fokker-Planck equations [J].
Nobre, FD ;
Curado, EMF ;
Rowlands, G .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 334 (1-2) :109-118