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

摘要

We propose a toy model with a reversible mode coupling mechanism and with a trivial Hamiltonian (and hence trivial statics). The model can be analysed exactly without relying upon uncontrolled approximation such as the factorization approximation employed in the current mode coupling theory. We show that the model exhibits a kinetically driven transition from an ergodic phase to a nonergodic phase. The nonergodic state is the nonequilibrium stationary solution of the Fokker-Planck equation for the distribution function of the model. [References: 26]