Noise induced transition from an absorbing phase to a regime of stochastic spatiotemporal intermittency

TL;DR

This paper presents a stochastic PDE model that captures spatiotemporal intermittency and demonstrates a noise-induced transition from laminar to intermittent regimes, with high noise leading to an absorbing phase.

Contribution

The study introduces a novel stochastic PDE that reproduces key features of STI and analyzes the noise-induced transition between different dynamical regimes.

Findings

High noise leads to a uniform absorbing phase.

Below a critical noise level, STI dominates.

Transition points are quantitatively mapped in parameter space.

Abstract

We introduce a stochastic partial differential equation capable of reproducing the main features of spatiotemporal intermittency (STI). Additionally the model displays a noise induced transition from laminarity to the STI regime. We show by numerical simulations and a mean-field analysis that for high noise intensities the system globally evolves to a uniform absorbing phase, while for noise intensities below a critical value spatiotemporal intermittence dominates. A quantitative computation of the loci of this transition in the relevant parameter space is presented.