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Renormalization group theory for the phase field crystal equation | | Badrinarayan P. Athreya
; Nigel Goldenfeld
; Jonathan A. Dantzig
; | | Date: |
15 Feb 2006 | | Subject: | Pattern Formation and Solitons; Materials Science | | Abstract: | We derive a set of rotationally covariant amplitude equations for use in multiscale simulation of the two dimensional phase field crystal (PFC) model by a variety of renormalization group methods, and discuss the special features of equations with local conservation laws. We compare our analysis with standard multiple scales techniques, where identical results can be obtained with greater labor, by going to sixth order in perturbation theory, and by assuming the correct scaling of space and time. | | Source: | arXiv, nlin/0602034 | | Services: | Forum | Review | PDF | Favorites | |
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