Non-Boltzmann Equilibrium Probability Densities for Non-Linear L\'{e}vy Oscillator
Statistical Mechanics
2007-05-23 v1
Abstract
We study, both analytically and by numerical modeling the equilibrium probability density function for an non-linear L\'{e}vy oscillator with the L\'{e}vy index \alpha, 1 \leq \alpha \leq 2, and the potential energy x^4. In particular, we show that the equilibrium PDF is bimodal and has power law asymptotics with the exponent -(\alpha +3).
Cite
@article{arxiv.cond-mat/0012155,
title = {Non-Boltzmann Equilibrium Probability Densities for Non-Linear L\'{e}vy Oscillator},
author = {A. Chechkin and V. Gonchar and R. Gorenflo and F. Mainardi and L. Tanatarov},
journal= {arXiv preprint arXiv:cond-mat/0012155},
year = {2007}
}
Comments
14 pages, LaTeX, 8 figures gif