Barrier crossing driven by Lévy noise: universality and the role of noise intensity
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Updated: Jul 15, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Aleksei V Chechkin1, Oleksii Yu Sliusarenko, Ralf Metzler
1Institute for Theoretical Physics NSC KIPT, Akademicheskaya st. 1, 61108 Kharkov, Ukraine.
Abstract:
We study the barrier crossing of a particle driven by white symmetric Lévy noise of index alpha and intensity D for three different generic types of potentials: (a) a bistable potential, (b) a metastable potential, and (c) a truncated harmonic potential. For the low noise intensity regime we recover the previously proposed algebraic dependence on D of the characteristic escape time, T_{esc} approximately C(alpha)D;{mu(alpha)} , where C(alpha) is a coefficient. It is shown that the exponent mu(alpha) remains approximately constant, mu approximately 1 for 0
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