Link between Lie Group Statistical Mechanics and Thermodynamics of Continua

Entropy

Géry de Saxcé¹ 

[1] Laboratoire de Mécanique de Lille, CNRS FRE 3723, Université de Lille 1, Villeneuve d’Ascq F59655, France;

关键词: Lie groups;    symplectic geometry;    affine tensors;    continuum thermodynamics;    statistical mechanics;   

DOI  :  10.3390/e18070254

来源: DOAJ

【 摘 要 】

In this work, we consider the value of the momentum map of the symplectic mechanics as an affine tensor called momentum tensor. From this point of view, we analyze the underlying geometric structure of the theories of Lie group statistical mechanics and relativistic thermodynamics of continua, formulated by Souriau independently of each other. We bridge the gap between them in the classical Galilean context. These geometric structures of the thermodynamics are rich and we think they might be a source of inspiration for the geometric theory of information based on the concept of entropy.

【 授权许可】

Unknown