3-4 December 2020
Europe/Warsaw timezone

Lévy Noise, Time-Reversal Symmetry, Nonequilibrium Stochastic Thermodynamics, and Bak’s Sandpile

3 Dec 2020, 17:00
20m
20 minute talk S3

Speaker

Martin Bier (East Carolina University)

Description

The Brownian noise in nonequilibrium systems commonly contains more outliers. In that case the noise is best described with a Levy distribution. Many systems in which there are fluctuations around a steady-state throughput can be modeled as a Levy-noise-subjected particle in a parabolic potential. We consider an overdamped Brownian particle in a parabolic potential. If the noise is Levy, time-reversal symmetry for the particle's trajectory is violated. We formulate a parameter, r, to express and detect this violation. With solar flare data it is shown how r can be readily obtained and next used to obtain a good estimate of the stability index, α, of the underlying noise. Self-organized-criticality, i.e. the famous avalanching sandpiles of Per Bak et al, can also be modeled with a Levy-noise-subjected particle on a potential. Preliminary results from such an approach are shown.

Primary authors

Martin Bier (East Carolina University) Steven Yuvan (East Carolina University)

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