An eikonal equation approach to thermodynamics and the gradient flows in information geometry

01/10/2020

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by   Tatsuaki Wada, et al.

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We can consider the equations of states in thermodynamics as the generalized eikonal equations, and incorporate a "time" evolution into thermodynamics as Hamilton-Jacobi dynamics. The gradient flows in information geometry is discussed as this dynamics of a simple thermodynamic system.