TY - JOUR
T1 - H-theorem for nonlinear Fokker-Planck equations related to generalized thermostatics
AU - Frank, T.D.
AU - Daffertshofer, A.
PY - 2001
Y1 - 2001
N2 - In correspondence to conventional thermostatistics we formulate an H-theorem showing that transients solutions of nonlinear Fokker-Planck equations related to generalized thermostatistics converge to stationary probability densities. The H-theorem is applied to relaxation processes of classical bosons and fermions as proposed by Kaniadakis and Quarati, diffusion processes consistent with the generalized thermostatistics proposed by Tsallis, and stochastic processes with statistical feedback. © 2001 Elsevier Science B.V.
AB - In correspondence to conventional thermostatistics we formulate an H-theorem showing that transients solutions of nonlinear Fokker-Planck equations related to generalized thermostatistics converge to stationary probability densities. The H-theorem is applied to relaxation processes of classical bosons and fermions as proposed by Kaniadakis and Quarati, diffusion processes consistent with the generalized thermostatistics proposed by Tsallis, and stochastic processes with statistical feedback. © 2001 Elsevier Science B.V.
U2 - 10.1016/S0378-4371(01)00146-7
DO - 10.1016/S0378-4371(01)00146-7
M3 - Article
SN - 0378-4371
VL - 295
SP - 455
EP - 474
JO - Physica A. Statistical Mechanics and its Applications
JF - Physica A. Statistical Mechanics and its Applications
ER -