Dynamic Mean-Field Glass Model with Reversible Mode Coupling and Trivial Hamiltonian
Abstract
Often the current mode coupling theory (MCT) of glass transitions is compared with mean field theories. We explore this possible correspondence. After showing a simple-minded derivation of MCT with some difficulties we give a concise account of our toy model developed to gain more insight into MCT. We then reduce this toy model by adiabatically eliminating rapidly varying velocity-like variables to obtain a Fokker-Planck equation for the slowly varying density-like variables where diffusion matrix can be singular. This gives a room for nonergodic stationary solutions of the above equation.
Keywords
Cite
@article{arxiv.cond-mat/0110536,
title = {Dynamic Mean-Field Glass Model with Reversible Mode Coupling and Trivial Hamiltonian},
author = {Kyozi Kawasaki and Bongsoo Kim},
journal= {arXiv preprint arXiv:cond-mat/0110536},
year = {2009}
}
Comments
9 pages, contribution to the Proceedings of the Merida Satellite Meeting to STATPHYS21 (Merida, Mexico, July 9-14, 2001). To appear in J. Phys. Condens. Matter