Non-Boltzmann Equilibrium Probability Densities for Non-Linear Lévy Oscillator

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We study, both analytically and by numerical modeling the equilibrium probability density function for an non-linear Lévy oscillator with the Lévy index α, 1 \leq α\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 -(α+3).
14 pages, LaTeX, 8 figures gif

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/17120

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0012155
 http://arxiv.org/abs/cond-mat/0012155

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arXiv