Microscopic approach to the macrodynamics of matter with broken symmetries
Statistical Mechanics
2020-12-02 v1
Abstract
A unified set of hydrodynamic equations describing condensed phases of matter with broken continuous symmetries is derived using a generalization of the statistical-mechanical approach based on the local equilibrium distribution. The dissipativeless and dissipative parts of the current densities and the entropy production are systematically deduced in this approach by expanding in powers of the gradients of the macrofields. Green-Kubo formulas are obtained for all the transport coefficients. The results apply to both crystalline solids and liquid crystals. The consequences of microreversibility and spatial symmetries are investigated, leading to the prediction of cross effects resulting from Onsager-Casimir reciprocal relations.
Keywords
Cite
@article{arxiv.2005.14012,
title = {Microscopic approach to the macrodynamics of matter with broken symmetries},
author = {Joel Mabillard and Pierre Gaspard},
journal= {arXiv preprint arXiv:2005.14012},
year = {2020}
}