Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold

Tobias Grafke; Eric Vanden-Eijnden

doi:10.1088/1742-5468/aa85cb

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arXiv · 1704.06723

Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold

Tobias Grafke·Eric Vanden-Eijnden

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Abstract

Noise-induced transitions between metastable fixed points in systems evolving on multiple time scales are analyzed in situations where the time scale separation gives rise to a slow manifold with bifurcation. This analysis is performed within the realm of large deviation theory. It is shown that these non-equilibrium transitions make use of a reaction channel created by the bifurcation structure of the slow manifold, leading to vastly increased transition rates. Several examples are used to illustrate these findings, including an insect outbreak model, a system modeling phase separation in the presence of evaporation, and a system modeling transitions in active matter self-assembly. The last example involves a spatially extended system modeled by a stochastic partial differential equation.

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BibTeX RIS

Tobias Grafke, Eric Vanden-Eijnden. 2017-04-21. Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold. https://doi.org/10.1088/1742-5468%2Faa85cb

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