The Heat Distribution in a Logarithm Potential

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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• Stochastic energetics of a colloidal particle trapped in a viscoelastic bath
• The Heat Distribution of the Underdamped Langevin Equation
• First-passage functionals of Brownian motion in logarithmic potentials and heterogeneous diffusion
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• Heat Distribution of Relativistic Brownian Motion