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.

中文翻译：

---

对数势中的热分布

所有有关热量的统计信息都可以通过热量函数的概率分布获得。本文通过分析得出了对数势中扩散系统通过路径积分的热量分布表达式。我们将发现的分布应用于第一遍问题，并发现分布的可逆性出乎意料的结果，从而在特定强度参数条件下给出了波动定理。