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

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

2000-12-09

arxiv.org/abs/cond-mat/0012155v1

Physics

Condensed Matter

Statistical Mechanics

14 pages, LaTeX, 8 figures gif

Scientific paper

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).

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