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Kinetics of rare events for non-Markovian stationary processes and application to polymer dynamics

Abstract : How much time does it take for a fluctuating system, such as a polymer chain, to reach a target configuration that is rarely visited -- typically because of a high energy cost ? This question generally amounts to the determination of the first-passage time statistics to a target zone in phase space with lower occupation probability. Here, we present an analytical method to determine the mean first-passage time of a generic non-Markovian random walker to a rarely visited threshold, which goes beyond existing weak-noise theories. We apply our method to polymer systems, to determine (i) the first time for a flexible polymer to reach a large extension, and (ii) the first closure time of a stiff inextensible wormlike chain. Our results are in excellent agreement with numerical simulations and provide explicit asymptotic laws for the mean first-passage times to rarely visited configurations.
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https://hal.archives-ouvertes.fr/hal-02466797
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Submitted on : Tuesday, February 4, 2020 - 4:00:22 PM
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  • HAL Id : hal-02466797, version 1

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N. Levernier, O. Bénichou, R. Voituriez, Thomas Guérin. Kinetics of rare events for non-Markovian stationary processes and application to polymer dynamics. Physical Review Research, American Physical Society, In press. ⟨hal-02466797⟩

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