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

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.

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

References in corpus (1)

• The k-generalized distribution: A new descriptive model for the size distribution of incomes

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