A nonlinear drift which leads to κ-generalized distributions
Department of Electrical and Electronic
Ibaraki University, Hitachi, Ibaraki, 316-8511, Japan
Corresponding author: email@example.com
Revised: 21 October 2009
Published online: 17 December 2009
We consider a system described by a Fokker-Planck equation with a new type of momentum-dependent drift coefficient which asymptotically decreases as -1/p for a large momentum p. It is shown that the steady-state of this system is a κ-generalized Gaussian distribution, which is a non-Gaussian distribution with a power-law tail.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009