Dynamic Mean-Field Glass Model with Reversible Mode Coupling and Trivial Hamiltonian

Details Dynamic Mean-Field Glass Model with Reversible Mode Coupling and Trivial Hamiltonian Dynamic Mean-Field Glass Model with Reversible Mode Coupling and Trivial Hamiltonian

2001-10-25

arxiv.org/abs/cond-mat/0110536v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, contribution to the Proceedings of the Merida Satellite Meeting to STATPHYS21 (Merida, Mexico, July 9-14, 2001). To a

Scientific paper

10.1088/0953-8984/14/9/315

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.

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