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arXiv · 2504.05836

Work probability distribution of weakly driven process in overdamped dynamics

Pierre Nazé
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Abstract

Analytical work probability distributions for open classical systems are scarce; they can only be calculated in a few examples. In this work, I present a new method to derive such quantities for weakly driven processes in the overdamped regime for any switching time. The white noise Brownian motion in a harmonic linear stiffening trap illustrates the result. The work probability distribution is non-tabulated, with positive, semi-finite support, diverging at the minimal value, and non-Gaussian. An analysis of the range of validity of linear response is made by using the self-consistent criterion of the fluctuation-dissipation relation. The first, second, third, and fourth moments are correctly calculated for small perturbations.

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Pierre Nazé. 2025-04-08. Work probability distribution of weakly driven process in overdamped dynamics. https://arxiv.org/abs/2504.05836

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