Connection between Adam-Gibbs Theory and Spatially Heterogeneous Dynamics

We investigate the spatially heterogeneous dynamics in the extended simple point charge model of water using molecular dynamics simulations. We relate the average mass $n^{*}$ of mobile particle clusters to the diffusion constant and the configurational entropy. Hence, $n^{*}$ can be interpreted as the mass of the “cooperatively rearranging regions” that form the basis of the Adam-Gibbs theory of the dynamics of supercooled liquids. We also examine the time and temperature dependence of these transient clusters.