Phase-ordering simulation of one-dimensional conserved kink system

Abstract

The kink-antikink kinetics of one-dimensional phase ordering under conserved order parameter dynamics is studied numerically. The average domain size is found to grow logarithmically, and the distribution of domain size and order parameter correlation function are shown to satisfy a scaling relation. The two-time autocorrelation function follows a power law of A (t(0))(t) approximately t(-lambda) , where lambda depends on the start time of the calculation t(0) . If t(0) is in the scaling regime, lambda takes a constant value of 3.0. Thus the scaling functions are sensitive to the initial configuration of domains. When the initial kink positions are given by uniform random numbers, the scaling functions agree with those obtained by cell dynamical system simulation.