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Transition in the Floquet rates of a driven stochastic system

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Abstract

Floquet theory is used to solve the Smoluchowski equation for a time-periodic system whose underlying dynamics exhibits a transition to deterministic chaos. For the stochastic version of this system, an abrupt transition occurs in the Floquet decay rates as parameters of the system are varied, leading to a much more rapid decay to the stationary state.

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References

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Author notes

  1. L. E. Reichl

    Present address: Institute for Nonlinear Science, University of California at San Diego, 92122, La Jolla, California

Authors and Affiliations

  1. Center for Statistical Mechanics, University of Texas at Austin, 78712, Austin, Texas

    L. E. Reichl

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  1. L. E. Reichl
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Reichl, L.E. Transition in the Floquet rates of a driven stochastic system. J Stat Phys 53, 41–48 (1988). https://doi.org/10.1007/BF01011543

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  • DOI: https://doi.org/10.1007/BF01011543

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