Effective Field Theory for Supercooled Liquids
Disordered Systems and Neural Networks
2014-07-25 v4 Statistical Mechanics
High Energy Physics - Theory
Abstract
Starting from a microscopic model of liquids, we construct an effective theory of an overlap field through duplication of the system and coarse-graining. We then propose a recipe to extract a relaxation time and two characteristic length scales of a supercooled liquid from this effective field theory. Appealing to the Ginzburg-Landau-Wilson paradigm near the putative critical point, we further conclude that this effective field theory resides within the Ising universality class.
Cite
@article{arxiv.1212.0857,
title = {Effective Field Theory for Supercooled Liquids},
author = {Sho Yaida},
journal= {arXiv preprint arXiv:1212.0857},
year = {2014}
}
Comments
This paper has been withdrawn as the identification of the two-point correlation length of the effective field theory with the length envisioned by Adam and Gibbs was incorrect and the misidentification invalidates the construction of the theory