Work probability distribution of weakly driven process in overdamped dynamics
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916678835634176 |
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| author | Nazé, Pierre |
| author_facet | Nazé, Pierre |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_05836 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Work probability distribution of weakly driven process in overdamped dynamics Nazé, Pierre Statistical Mechanics 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. |
| title | Work probability distribution of weakly driven process in overdamped dynamics |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2504.05836 |