Curvature autocorrelations in domain growth dynamics

We show how the interface curvature autocorrelation function (ICAF) and ass ociated structure factor (ICSF), of relevance in non-equilibrium pattern-fo rmation problems where sharp interfaces are present, provide new and intere sting information on domain structure, as yet not visible via the order-par ameter structure factor (OPSF). This is done by discussing numerical simula tions of model A (nonconserved relaxational phase-ordering kinetics) in two -dimensional systems. The ICAF is Gaussian over short distances and exhibit s 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 multiplicativ e constant. Experimental methods to measure the ICAF and/or ICSF are still needed at this point.