Renormalization group theory for the phase field crystal equation

Simple item page
dc.creatorAthreya, Badrinarayan P.
dc.creatorGoldenfeld, Nigel
dc.creatorDantzig, Jonathan A.
dc.date2006-02-15
dc.date2006-06-06
dc.date.accessioned2026-07-07T07:03:56Z
dc.date.available2026-07-07T07:03:56Z
dc.descriptionWe 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 (RG) methods. We show that the presence of a conservation law introduces an ambiguity in operator ordering in the RG procedure, which we show how to resolve. 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.
dc.description13 pages, 1 figure, submitted to Phys. Rev. E
dc.identifierhttps://arxiv.org/abs/nlin/0602034
dc.identifierhttp://arxiv.org/abs/nlin/0602034
dc.identifierPhys. Rev. E 74, 011601 (2006)
dc.identifierdoi:10.1103/PhysRevE.74.011601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109169
dc.subjectPattern Formation and Solitons
dc.subjectMaterials Science
dc.titleRenormalization group theory for the phase field crystal equation
dc.typetext

Files

Collections

arXiv