The heat distribution in a logarithm potential
Pedro V Paraguassú, Welles A M Morgado
Abstract
Abstract 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.
Topics & Concepts
LogarithmMathematicsDistribution (mathematics)Logarithmic distributionStatistical physicsPath (computing)Probability distributionMathematical analysisFluctuation theoremExpression (computer science)Inverse-chi-squared distributionProbability density functionApplied mathematicsSpecific heatLogarithmic growthHeavy-tailed distributionHeat equationUniform distribution (continuous)PhysicsLévy distributionAdvanced Thermodynamics and Statistical MechanicsStatistical Mechanics and Entropystochastic dynamics and bifurcation