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

M. G. Zimmermann·R. Toral·O. Piro·M. San Miguel
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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.

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M. G. Zimmermann, R. Toral, O. Piro, M. San Miguel. 1999-05-26. Noise induced transition from an absorbing phase to a regime of stochastic spatiotemporal intermittency. https://doi.org/10.1103/physrevlett.85.3612

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