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arXiv · 2101.03568

A work fluctuation theorem for a Brownian particle in a non confining potentia

Christoph Streißnig·Holger Kantz
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Abstract

Using the Feynman-Kac formula, a work fluctuation theorem for a Brownian particle in a nonconfining potential, e.g., a potential well with finite depth, is derived. The theorem yields aninequality that puts a lower bound on the average work needed to change the potential in time.In comparison to the Jarzynski equality, which holds for confining potentials, an additional termdescribing a form of energy related to the never ending diffusive expansion appears.

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Christoph Streißnig, Holger Kantz. 2021-01-10. A work fluctuation theorem for a Brownian particle in a non confining potentia. https://doi.org/10.1103/physrevresearch.3.013115

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