Geometrical expression of excess entropy production
Geometrical expression of excess entropy production
复制标题
过剩熵产生的几何表达
DOI：
10.1103/physreve.84.051110
复制
发表时间：
2011
影响因子：
2.4
通讯作者：
Hisao Hayakawa
中科院分区：
文献类型：
--
作者：
Takahiro Sagawa;Hisao Hayakawa
我们推导了马尔可夫跳跃过程的非平衡稳态之间的准静态转变的过剩熵产生的几何表达式，它可以准确地应用于非线性和非平衡情况。得到的表达式是几何的；过量熵的产生仅取决于参数空间中的轨迹，类似于量子力学中的贝里相。我们的结果意味着需要矢量势来构建非平衡稳态的热力学。
We derive a geometrical expression of the excess entropy production for quasistatic transitions between nonequilibrium steady states of Markovian jump processes, which can be exactly applied to nonlinear and nonequilibrium situations. The obtained expression is geometrical; the excess entropy production depends only on a trajectory in the parameter space, analogous to the Berry phase in quantum mechanics. Our results imply that vector potentials are needed to construct the thermodynamics of nonequilibrium steady states.