Mode Coupling Theory of Dynamic Critical Phenomena for Classical Liquids. I: Dynamic Critical Exponents

Abstract

The dynamic critical exponents of classical liquids are studied on the basis of the mode coupling theory. The shear viscosity for the spatial dimensionality between two and four exhibits the weak power law divergence at a critical point, which was briefly reported in a previous paper. The non-Markoffian effects and the vertex corrections are also investigated. It is shown that both corrections have only small contributions to the order parameter decay rate and do not affect the dynamic critical exponents.