On the Adam-Gibbs-Wolynes scenario for the viscosity increase in glasses
  We reformulate the interpretation of the mean-field glass transition scenario for finite dimensional systems, proposed by Wolynes and collaborators.   This allows us to establish clearly a temperature dependent length xi* above which the mean-field glass transition picture has to be modified. We argue in favor of the mosaic state introduced by Wolynes and collaborators, which leads to the Adam-Gibbs relation between the viscosity and configurational entropy of glass forming liquids.   Our argument is a mixture of thermodynamics and kinetics, partly inspired by the Random Energy   Model: small clusters of particles are thermodynamically frozen in low energy states, whereas large clusters are kinetically frozen by large activation energies. The relevant relaxation time is that of the smallest `liquid' clusters. Some physical consequences are discussed. 
J.-P. Bouchaud, G. Biroli (CEA - Saclay)