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The Generalized Arrhenius Law in Out of Equilibrium Systems

Abstract : In this work we provide a comprehensive analysis of the activation problem out of equilibrium. We generalize the Arrhenius law for systems driven by non conservative time independent forces, subjected to retarded friction and non-Markovian noise. The role of the energy function is now played by the out of equilibrium potential {\phi} = -lim_{T{\to}0} T log P_s, with P_s being the steady state probability distribution and T the strength of the noise. We unveil the relationship between the generalized Arrhenius law and a time-reversal transformation discussed in the context of fluctuations theorems out of equilibrium. Moreover, we characterize the noise-activated trajectories by obtaining their explicit expressions and identifying their irreversible nature. Finally, we discuss a real biological application that illustrates our results.
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Preprints, Working Papers, ...
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Contributor : Emmanuelle de Laborderie <>
Submitted on : Monday, August 31, 2015 - 10:24:51 AM
Last modification on : Monday, February 10, 2020 - 6:13:39 PM

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  • HAL Id : cea-01188555, version 1
  • ARXIV : 1204.6027


Serena Bradde, Giulio Biroli. The Generalized Arrhenius Law in Out of Equilibrium Systems. 2015. ⟨cea-01188555⟩



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