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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https://hal-cea.archives-ouvertes.fr/cea-01188555
Contributor : Emmanuelle de Laborderie <>
Submitted on : Monday, August 31, 2015 - 10:24:51 AM
Last modification on : Wednesday, January 23, 2019 - 2:39:04 PM

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

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

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