Extended Thermodynamics for dense gases and macromolecular fluids, obtained through a non relativistic limit

TL;DR

This paper derives an exact non-relativistic limit of the 14 moments model in Extended Thermodynamics for dense gases and macromolecular fluids, overcoming previous approximate methods by using a relativistic precursor model.

Contribution

It introduces a novel approach by starting from a relativistic model and taking its non-relativistic limit to obtain exact solutions, avoiding Taylor expansions.

Findings

Obtained an exact solution for the 14 moments model.

Provided a rigorous derivation method for non-relativistic limits.

Improved the theoretical foundation for modeling dense gases and macromolecular fluids.

Abstract

In this paper we consider the 14 moments model of Extended Thermodynamics for dense gases and macromolecular fluids. Solutions of the restrictions imposed by the entropy principle and that of Galilean relativity for such a model have been until now obtained in literature only in an approximate manner up to a certain order with respect to thermodynamic equilibrium; for more restrictive models they have been obtained up to whatever order, but by using Taylor expansions around equilibrium and without proving convergence. Here we have found an exact solution without using expansions. The idea has been to write firstly a relativistic model, for which it is easy to impose the Einsteinian relativity principle, and then taking its non relativistic limit.