We can incorporate a ''time'' evolution into thermodynamics as a Hamilton-Jacobi dynamics. A set of the equations of state 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.
An eikonal equation approach to thermodynamics and the gradient flows in information geometry
Scarfone AM;
2021
Abstract
We can incorporate a ''time'' evolution into thermodynamics as a Hamilton-Jacobi dynamics. A set of the equations of state 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.File in questo prodotto:
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Descrizione: An eikonal equation approach to thermodynamics and the gradient flows in information geometry
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