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 modelComment: 10 pages, 1 figure, contribution to the Proceedings of the Barcelona
Workshop 'Glassy Behavior of Kinetically Constrained Models'. To appear in J.
Phys. Condens. Matte
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