Renormalization-group theoretical reduction of the Swift-Hohenberg model
- 27 December 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 63 (1) , 016119
- https://doi.org/10.1103/physreve.63.016119
Abstract
The Swift-Hohenberg model of the cellular pattern formation is exploited with a proto renormalization-group (RG) scheme. The method dispenses with the explicit perturbation solutions which are required in the standard RG approach. The RG equations obtained are the well-known reductive perturbation results such as a rotationally covariant amplitude equation and the nonlinear phase equations.Keywords
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