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arXiv · 0907.4584

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

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

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Tatsuaki Wada. 2009-07-27. A nonlinear drift which leads to $\kappa$-generalized distributions. https://doi.org/10.1140/epjb/e2009-00429-3

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