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

Kyozi Kawasaki; Bongsoo Kim

doi:10.1088/0953-8984/14/9/315

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

Kyozi Kawasaki·Bongsoo Kim

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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.

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Kyozi Kawasaki, Bongsoo Kim. 2001-10-25. Dynamic Mean-Field Glass Model with Reversible Mode Coupling and Trivial Hamiltonian. https://doi.org/10.1088/0953-8984%2F14%2F9%2F315

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