Some Comments on Theoretical Approaches to the Glass Transition Phenomenon

SOME COMMENTS ON THEORETICAL APPROACHES TO THE GLASS TRANSITION PHENOMENON 

In MCT, the non-ergodicity parameter /e(7) is the crucial quantity. It describes the long-time behavior of S(Q,t). In its idealized version, MCT predicts a discontinuous change at a critical temperature T223 

Whereas the correlation function S(Q, t) decays to zero in the liquid state, this is no longer the case below Tc, where the system becomes non-ergodic. Such scenario results from a generalized oscillator equation with non-linear damping. The slowing down of the molecular dynamics creates an enhanced damping, which in turn slows down the correlation function etc. The density is taken as a control parameter. In Fig. 38a, /(the Q dependence is omitted in the most simple approach) is displayed 

The replica theory is another microscopic theory of the glass transition. Inspired by the spin glass theory,230 it lends some justification to the configurational entropy theory.216 However, details of the evolution of the dynamic susceptibility are less worked out. 

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III. Some Comments on Theoretical Approaches to the Glass Transition Phenomenon... 

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