Kinetically driven glassy transition in an exactly solvable toy model with reversible mode coupling mechanism and trivial statics

Details Kinetically driven glassy transition in an exactly solvable toy model with reversible mode coupling mechanism and trivial statics Kinetically driven glassy transition in an exactly solvable toy model with reversible mode coupling mechanism and trivial statics

2001-10-23

arxiv.org/abs/cond-mat/0110493v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 1 figure, contribution to the Proceedings of the Barcelona Workshop 'Glassy Behavior of Kinetically Constrained Mode

Scientific paper

10.1088/0953-8984/14/7/319

We propose a toy model with reversible mode coupling mechanism and with trivial Hamiltonian (and hence trivial statics). The model can be analyzed exactly without relying upon uncontrolled approximation such as the factorization approximation employed in the current MCT. We show that the model exhibits a kinetically driven transition from an ergodic phase to nonergodic phase. The nonergodic state is the nonequilibrium stationary solution of the Fokker-Planck equation for the distribution function of the model

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