Possibilities and limitations of Gaussian-closure approximations for phase-ordering dynamics
- 1 April 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 49 (4) , 2693-2699
- https://doi.org/10.1103/physreve.49.2693
Abstract
The nonlinear equations describing phase-ordering dynamics can be closed by assuming the existence of an underlying Gaussian stochastic field which is nonlinearly related to the observable order-parameter field. We discuss the relation between different implementations of the Gaussian assumption and consider the limitations of this assumption for phase-ordering dynamics. The fact that the different approaches give different results is a sign of the breakdown of the Gaussian assumption. We discuss both the nonconserved and conserved order-parameter cases. We demonstrate that the Gaussian assumption cannot describe the large length-scale behavior in the latter case.Keywords
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