Entropy and Structure of the Thermodynamical Systems

Abstract

AbstractWith respect to the concept of affine tensor, we analyse in this work the underlying geometric structure of the theories of Lie group statistical mechanics and relativistic thermodynamics of continua, formulated by Souriau independently one of each other. We reveal the link between these ones in the classical Galilean context. These geometric structures of the thermodynamics are rich and we think they might be source of inspiration for the geometric theory of information based on the concept of entropy.KeywordsMomentum TensorSymplectic ManifoldAffine SpaceGalilean TransformationSpecific EntropyThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.