论文标题
热力学和信息几何形状中的梯度流量和梯度流
An eikonal equation approach to thermodynamics and the gradient flows in information geometry
论文作者
论文摘要
我们可以将“时间”演变纳入热力学中，作为汉密尔顿 - 雅各比动力学。热力学中的一组状态方程被认为是广义的艾科纳尔方程，相当于汉密尔顿 - 雅各比方程。我们将简单热力学系统的汉密尔顿 - 雅各比动力学与信息几何形状的梯度流有关。
We can incorporate a "time" evolution into thermodynamics as a Hamilton-Jacobi dynamics. A set of the equations of states in thermodynamics is considered as the generalized eikonal equation, which is equivalent to Hamilton-Jacobi equation. We relate the Hamilton-Jacobi dynamics of a simple thermodynamic system to the gradient flows in information geometry.
