Power-law tails from multiplicative noise
High Energy Physics - Phenomenology
2009-11-10 v1
Abstract
We show that the well-known Langevin equation, modeling the Brownian motion and leading to a Gaussian stationary distribution of the corresponding Fokker-Planck equation, is changed by the smallest multiplicative noise. This leads to a power-law tail of the distribution at large enough momenta. At finite ratio of the correlation strength for the multiplicative and additive noise the stationary energy distribution becomes exactly the Tsallis distribution.
Keywords
Cite
@article{arxiv.hep-ph/0405202,
title = {Power-law tails from multiplicative noise},
author = {Tamas S. Biro and Antal Jakovac},
journal= {arXiv preprint arXiv:hep-ph/0405202},
year = {2009}
}
Comments
4 pages, LaTeX, revtex4 style, 2 figures