On selection criteria for problems with moving inhomogeneities

TL;DR

This paper develops a thermodynamic framework to analyze problem selection criteria involving moving inhomogeneities, comparing implications for resting and moving states through simple lattice motion examples.

Contribution

It introduces a novel thermodynamic approach to select solutions in problems with moving inhomogeneities, focusing on energy production and fluxes.

Findings

Different selection criteria lead to distinct solution behaviors.

Moving inhomogeneities influence energy fluxes and stability.

Framework applicable to lattice motion problems.

Abstract

We study mechanical problems with multiple solutions and introduce a thermodynamic framework to formulate two different selection criteria in terms of macroscopic energy productions and fluxes. Studying simple examples for lattice motion we then compare the implications for both resting and moving inhomogeneities.