The Heat Distribution in a Logarithm Potential
Pedro Ventura Paraguass\'u, Welles Antonio Martinez Morgado
TL;DR
This paper derives an analytical expression for the heat distribution in a diffusive system within a logarithmic potential, revealing new insights into its reversibility and fluctuation theorem under certain conditions.
Contribution
It introduces a novel path integral approach to obtain the heat distribution in a logarithmic potential, highlighting unexpected reversibility properties and fluctuation theorem implications.
Findings
Derived explicit heat distribution formula
Identified conditions for fluctuation theorem validity
Revealed reversibility properties of the heat distribution
Abstract
All statistical information about the 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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