Eur. Phys. J. B 73, 287-291 (2010)
https://doi.org/10.1140/epjb/e2009-00429-3

A nonlinear drift which leads to κ-generalized distributions

Department of Electrical and Electronic Engineering, Ibaraki University, Hitachi, Ibaraki, 316-8511, Japan

Corresponding author: wada@mx.ibaraki.ac.jp

Received: 5 July 2009
Revised: 21 October 2009
Published online: 17 December 2009

Abstract

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.