An exactly solvable toy model that mimics the mode coupling theory of supercooled liquid and glass transition

Details An exactly solvable toy model that mimics the mode coupling theory of supercooled liquid and glass transition An exactly solvable toy model that mimics the mode coupling theory of supercooled liquid and glass transition

2000-09-21

arxiv.org/abs/cond-mat/0009326v2

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 ps-figures, inappropriate terms replaced

Scientific paper

10.1103/PhysRevLett.86.3582

A toy model is proposed which incorporates the reversible mode coupling mechanism responsible for ergodic-nonergodic transition with trivial Hamiltonian in the mode coupling theory (MCT) of structural glass transition. The model can be analyzed without relying on uncontrolled approximations inevitable in the current MCT. The strength of hopping processes can be easily tuned and the ideal glass transition is reproduced only in a certain range of the strength. On the basis of the analyses of our model we discuss about a sharp ergodic-nonergodic transition and its smearing out by "hopping".

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