Curvature autocorrelations in domain growth dynamics
Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada
Corresponding author: a firstname.lastname@example.org
Published online: 15 June 1999
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 t1/2 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.
PACS: 05.20.-y – Classical statistical mechanics / 82.20.Mj – Nonequilibrium kinetics / 71.45.Gm – Exchange, correlation, dielectric and magnetic functions, plasmons / 02.60.Cb – Numerical simulation; solution of equations
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999