Fluidn-vector model and its hydrodynamic ordering processes

Abstract

We introduce a fluid $n$-component vector model for the study of the phase ordering dynamics. We examine several hydrodynamic growth laws of length scale for both conserved and nonconserved order parameters, with and without the thermal fluctuation. Several growth laws for fluids with the scalar order parameter are generalized, by taking the bulk energy and the defect core energy into consideration. Numerical simulation is also presented for the case of a conserved order parameter for $n$=2 and 3 in two and three dimensions, respectively. Different growth laws are observed between in two and in three dimensions.