Solvable Models of Supercooled Liquids in Three Dimensions
Disordered Systems and Neural Networks
2020-05-19 v3 Soft Condensed Matter
Statistical Mechanics
Abstract
We introduce a supercooled liquid model and obtain parameter-free quantitative predictions that are in excellent agreement with numerical simulations, notably in the hard low-temperature region characterized by strong deviations from Mode-Coupling-Theory behavior. The model is the Fredrickson-Andersen Kinetically-Constrained-Model on the three-dimensional -layer lattice. The agreement has implications beyond the specific model considered because the theory is potentially valid for many more systems, including realistic models and actual supercooled liquids.
Keywords
Cite
@article{arxiv.1903.01773,
title = {Solvable Models of Supercooled Liquids in Three Dimensions},
author = {Tommaso Rizzo and Thomas Voigtmann},
journal= {arXiv preprint arXiv:1903.01773},
year = {2020}
}
Comments
Letter with supplemental material text attached. Added discussion of finite M and realistic models in the renormalization group framework. To appear on Phys. Rev. Lett