The Generalized Arrhenius Law in Out of Equilibrium Systems

Serena Bradde; Giulio Biroli

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arXiv · 1204.6027

The Generalized Arrhenius Law in Out of Equilibrium Systems

Serena Bradde·Giulio Biroli

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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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Serena Bradde, Giulio Biroli. 2012-04-26. The Generalized Arrhenius Law in Out of Equilibrium Systems. https://arxiv.org/abs/1204.6027

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