A nonlinear drift which leads to $κ$-generalized distributions

Details A nonlinear drift which leads to $κ$-generalized distributions A nonlinear drift which leads to $κ$-generalized distributions

2009-07-27

arxiv.org/abs/0907.4584v1

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

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
$\kappa$-generalized Gaussian distribution, which is a non-Gaussian
distribution with a power-law tail.

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