English

A nonlinear drift which leads to $\kappa$-generalized distributions

Statistical Mechanics 2015-05-13 v1

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-1/p for a large momentum pp. It is shown that the steady-state of this system is a κ\kappa-generalized Gaussian distribution, which is a non-Gaussian distribution with a power-law tail.

Keywords

Cite

@article{arxiv.0907.4584,
  title  = {A nonlinear drift which leads to $\kappa$-generalized distributions},
  author = {Tatsuaki Wada},
  journal= {arXiv preprint arXiv:0907.4584},
  year   = {2015}
}

Comments

Submitted to EPJB. 8 pages, 2 figures, dedicated to the proceedings of APFA7

R2 v1 2026-06-21T13:29:18.459Z