# Curvature autocorrelations in domain growth dynamics

Source: [Curvature autocorrelations in domain growth dynamics](<https://www.sota2.com/research/paper/68fa24952c2a3760193a62a1>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:20:15.324Z

Authors: Oliver Schoenborn, Rashmi C. Desai

Published: 1998-04-22T02:40:01.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9804236>)

[PDF](<https://arxiv.org/pdf/cond-mat/9804236.pdf>)