Effect of Non-Gaussian Noise Sources in a Noise Induced Transition

TL;DR

This paper investigates how non-Gaussian, colored noise influences noise-induced transitions, revealing shifts in transition points and confirming reentrance effects, using theoretical and numerical methods.

Contribution

It introduces analysis of non-Gaussian colored noise effects on noise-induced transitions, extending previous Gaussian-based studies with new theoretical and simulation insights.

Findings

Shift in transition points due to non-Gaussian noise

Confirmation of reentrance effect with colored Gaussian noise

Behavior of transition line in large correlation time limit

Abstract

Here we study a noise induced transition when the system is driven by a noise source taken as colored and non-Gaussian. We show--using both, a theoretical approximation and numerical simulations-- that there is a shift of the transition as the noise departs from the Gaussian behavior. Also, we confirm the reentrance effect found for colored Gaussian noise and show the behavior of the transition line in the phase-like diagram as the noise departs from Gaussianity in the large correlation time limit.