Lattice dynamics on large time scales and dispersive effective equations

dc.contributor.author	Schweizer, Ben
dc.contributor.author	Theil, Florian
dc.date.accessioned	2018-02-06T16:49:45Z
dc.date.available	2018-02-06T16:49:45Z
dc.date.issued	2017-12-19
dc.description.abstract	We investigate the long time behavior of waves in crystals. Starting from a linear wave equation on a discrete lattice with periodicity ε > 0, we derive the continuum limit equation for time scales of order ε^(-2). The effective equation is a weakly dispersive wave equation of fourth order. Initial values with bounded support result in ring-like solutions and we characterize the dispersive long-time behavior of the radial profiles with a linearized KdV equation of third order.	en
dc.identifier.uri	http://hdl.handle.net/2003/36361
dc.identifier.uri	http://dx.doi.org/10.17877/DE290R-18362
dc.language.iso	en
dc.subject	lattice dynamics	en
dc.subject	continuum limit	en
dc.subject	dispersive effective equation	en
dc.subject.ddc	610
dc.subject.rswk	Gitterdynamik	de
dc.subject.rswk	Korteweg-de-Vries-Gleichung	de
dc.title	Lattice dynamics on large time scales and dispersive effective equations	en
dc.type	Text	de
dc.type.publicationtype	preprint	en
dcterms.accessRights	open access
eldorado.dnb.deposit	true	de
eldorado.secondarypublication	false

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