Foundation of the Adam-Gibbs Relation

On the basis of the free energy landscape (FEL) approach to non-equilibrium systems, the cooperatively rearranging region (CRR) is defined as a region in the FEL which supports two basins and the entire configurational space is tessellated by a set of CRR's. The configurational entropy is shown to be in proportion to the inverse of the average size of CRR. The average rate of structural relaxation defined by a geometrical mean of the transition rate in each CRR is shown to be written in the form of the Adarri-Gibbs relation. Various estimations of the size of CRR reported before are assessed on the basis of the proper definition of CRR and the configurational entropy.