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Mode Coupling Approach to the Glass Transition

  • R. Schilling

Abstract

The transformation of a supercooled liquid into a solid-like glassy phase plays a special role in the field of condensed matter physics. There are some experimental observations which might allow one to relate this glass transition to an underlying equilibrium phase transition [1]:

(S1) the heat capacity c p (T), the derivative ∂V/∂T|p of the volume V at constant pressure etc. exhibit a more or less well pronounced “discontinuity” at a temperature T g, called calorimetric glass transition temperature

(S2) for many glass forming systems the shear viscosity η tends to diverge like
$$\eta (T) = \eta _0 \exp \left[ { - \frac{B}{{k_B (T - T_0 )}}} \right],\,B > 0\,,$$
(6.1)
where T 0 is the Vogel-Fulcher temperature

(S3) the extrapolation of the excess entropy ΔS of the supercooled liquid relative to the crystal yields the Kauzmann-Temperature T K, where ΔS(T) becomes zero. Below T K the entropy of the supercooled state is less than that of the crystal. Hence the system must crystallize or go to a glass phase.

Keywords

Glass Transition Structural Phase Transition Mode Coupling Theory Memory Kernel Dynamical Phase Transition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag Berlin Heidelberg 1994

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  • R. Schilling

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