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Entropy, Vol. 18, Pages 254: Link between Lie Group Statistical Mechanics and Thermodynamics of Continua (2016)

Géry de Saxcé

MDPI Publishing

In: Entropy

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Publication Date: 2016-07-13

Description: 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.

Electronic ISSN: 1099-4300

Topics: Chemistry and Pharmacology , Physics

Published by MDPI Publishing

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