Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold. Grafke, T. & Vanden-Eijnden, E. Journal of Statistical Mechanics: Theory and Experiment, 2017(9):93208, 2017.
Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold [link]Website  abstract   bibtex   
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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 title = {Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold},
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 year = {2017},
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 pages = {93208},
 volume = {2017},
 websites = {https://arxiv.org/pdf/1704.06723.pdf,http://stacks.iop.org/1742-5468/2017/i=9/a=093208},
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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.},
 bibtype = {article},
 author = {Grafke, Tobias and Vanden-Eijnden, Eric},
 journal = {Journal of Statistical Mechanics: Theory and Experiment},
 number = {9}
}

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