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.secondarypublication | false |