论文标题
Drazin Intersever和驱动的随机步行圈的热容量
Drazin-Inverse and heat capacity for driven random walks on the ring
论文作者
论文摘要
我们将马尔可夫跳跃过程的单一和双树状表示在$ \ mathbb {z} _n $上，以获得其非平衡热容量，并采用扩散限制$ n \ uparrow \ uparrow \ infty $。主要工具是向后发电机的Drazin Inverse的图形表示。这样，代数和图理论方法的组合可以确切地计算马尔可夫跳跃过程的重要非平衡量（过量热量）。
We apply single and double tree-like representations of Markov jump processes on $\mathbb{Z}_N$ for obtaining their nonequilibrium heat capacity and for taking the diffusion limit $N\uparrow \infty$. The main tool is a graphical representation of the Drazin-inverse of the backward generator. In that way, the combination of algebraic and graph-theoretical approaches enables an exact computation of an important nonequilibrium quantity (excess heat) for Markov jump processes.
