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".Comment: 5 pages, 2 ps-figures, inappropriate terms replace