Eur. Phys. J. B 9, 719-724 (1999)
https://doi.org/10.1007/s100510050816

Curvature autocorrelations in domain growth dynamics

Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada

Corresponding author: ^a desai@physics.utoronto.ca

Received: 22 April 1998
Published online: 15 June 1999

Abstract

We show how the interface curvature autocorrelation function (ICAF) and associated structure factor (ICSF), of relevance in non-equilibrium pattern-formation problems where sharp interfaces are present, provide new and interesting information on domain structure, as yet not visible via the order-parameter structure factor (OPSF). This is done by discussing numerical simulations of model A (non-conserved relaxational phase-ordering kinetics) in two-dimensional systems. The ICAF is Gaussian over short distances and exhibits dynamical scaling and t^1/2 power-law growth. We use it to show what the typical length-scale in the model A dynamics corresponds to physically and how it can be obtained uniquely, rather than simply within a multiplicative constant. Experimental methods to measure the ICAF and/or ICSF are still needed at this point.