Nature of the Gaussian approximations in phase-ordering kinetics
- 1 October 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 50 (4) , 2621-2629
- https://doi.org/10.1103/physreve.50.2621
Abstract
The structure of the Gaussian auxiliary field approximation in the theory of phase-ordering kinetics is analyzed with the aim of placing the method within the context of a systematic theory. While we are unable to do this for systems with a scalar order parameter, where the approximation remains uncontrolled, a systematic development about the Gaussian approximation can be outlined for systems with a vector order parameter in terms of a suitably defined 1/N expansion.Keywords
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