Thermodynamic potential of a mechanical constitutive model for two-phase band flow
Soft Condensed Matter
2011-03-21 v1 Statistical Mechanics
Abstract
Starting from a simple mechanical constitutive model (the non-local diffusive Johnson-Segalman model; DJS model), we provide a rigorous theoretical explanation as to why a unique value of the stress plateau of a highly sheared viscoelastic fluid is stably realized. The present analysis is based on a reduction theory of the degrees of freedom of the model equation in the neighborhood of a critical point, which leads to a time-evolution equation that is equivalent to those for first-order phase transitions.
Keywords
Cite
@article{arxiv.0811.1393,
title = {Thermodynamic potential of a mechanical constitutive model for two-phase band flow},
author = {Katsuhiko Sato and Xue-Feng Yuan and Toshihiro Kawakatsu},
journal= {arXiv preprint arXiv:0811.1393},
year = {2011}
}
Comments
10 pages, 1 figure