Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume 2021, Issue 2, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1742-5468/abda25
Keywords
fluctuation theorems; Brownian motion; stochastic particle dynamics
Categories
Funding
- CAPES
- CNPq
- Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior - Brasil (CAPES) [001]
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This paper analytically derives the expression for the distribution of heat in a diffusive system in a logarithm potential through path integral. The found distribution is applied to the first passage problem, resulting in unexpected results for the reversibility of the distribution and a fluctuation theorem under specific conditions of the strength parameters.
All statistical information about heat can be obtained with the probability distribution of the heat functional. This paper derives analytically the expression for the distribution of the heat, through path integral, for a diffusive system in a logarithm potential. We apply the found distribution to the first passage problem and find unexpected results for the reversibility of the distribution, giving a fluctuation theorem under specific conditions of the strength parameters.
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