The François Massieu 1869 idea to derive some mechanical and thermal properties of
physical systems from “Characteristic Functions”, was developed by Gibbs and Duhem in …

We introduce the symplectic structure of information geometry based on Souriau's Lie group
thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances …

This title proposes a unified approach to continuum mechanics which is consistent with
Galilean relativity. Based on the notion of affine tensors, a simple generalization of the …

In the present article, a covariant spacetime formalism is used to model the behavior of
viscoelastic and hyperelastic solids, within a thermodynamical framework. The latter aims to …

The principle of material objectivity used in classical continuum mechanics states that the
description of material behaviors has to be frame-invariant. Moreover, geometric …

We introduce poly-symplectic extension of Souriau Lie groups thermodynamics based on
higher-order model of statistical physics introduced by Ingarden. This extended model could …

To say that a constitutive model has to verify “the principle of material objectivity” to ensure
its frame-indifference has become a common wisdom. Objective transports are thus defined …

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 …

In this work, we propose a tensorial description for a thermodynamics of dissipative continua
compatible with the Galilean physics. With this aim in view, we emphasize the role of …

The covariance principle of the theory of relativity within a four-dimensional framework
ensures the validity of any equations and physical relations through any changes of frame of …