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

摘要

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