Field-theoretic techniques and critical dynamics. II. Ginzburg-Landau stochastic models with energy conservation

Abstract

The critical dynamics of a stochastic Ginzburg-Landau model of an $N$-component order parameter coupled to a conserved-energy-density field is studied with the help of field-theoretical techniques introduced in previous work. Our results essentially confirm and refine upon those of Halperin, Hohenberg, and Ma. Scaling laws are derived (whenever they hold). A better knowledge of the domain structure of the ($N, d$) plane and the corresponding critical exponents is obtained, in particular one additional region is shown to be present. Stability criteria lead to a characterization of the leading corrections to dynamical scaling by extra exponents which, except for one of them, are related to known static exponents.