info:eu-repo/semantics/article
Curl forces and the nonlinear Fokker-Planck equation
Fecha
2016-12Registro en:
Wedemann, R. S.; Plastino, Ángel Ricardo; Tsallis, C.; Curl forces and the nonlinear Fokker-Planck equation; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 94; 6; 12-2016; 1-10; 062105
2470-0053
CONICET Digital
CONICET
Autor
Wedemann, R. S.
Plastino, Ángel Ricardo
Tsallis, C.
Resumen
Nonlinear Fokker-Planck equations endowed with curl drift forces are investigated. The conditions under which these evolution equations admit stationary solutions, which are q exponentials of an appropriate potential function, are determined. It is proved that when these stationary solutions exist, the nonlinear Fokker-Planck equations satisfy an H theorem in terms of a free-energy-like quantity involving the Sq entropy. A particular two-dimensional model admitting analytical, time-dependent q-Gaussian solutions is discussed in detail. This model describes a system of particles with short-range interactions, performing overdamped motion under drag effects due to a rotating resisting medium. It is related to models that have been recently applied to the study of type-II superconductors. The relevance of the present developments to the study of complex systems in physics, astronomy, and biology is discussed.