Scaling behavior near glass instability in mode-coupling model for dense fluids

Abstract

The scaling relations close to the ideal glass transition point in a self-consistent mode coupling model with realistic structural properties are studied. The behavior of the long time limit of the density autocorrelation function or the nonergodicity parameter over a reasonable density range around the transition point follows a scaling relation with an exponent that is q dependent. Next the solution of the model equations for decay of density correlation over the so-called β-relaxation regime is studied. The results for different wave vectors indicate a substantial q dependence in the exponents of the power law relaxations.