Authors: | Schweizer, Ben Theil, Florian |
Title: | Lattice dynamics on large time scales and dispersive effective equations |
Language (ISO): | en |
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. |
Subject Headings: | lattice dynamics continuum limit dispersive effective equation |
Subject Headings (RSWK): | Gitterdynamik Korteweg-de-Vries-Gleichung |
URI: | http://hdl.handle.net/2003/36361 http://dx.doi.org/10.17877/DE290R-18362 |
Issue Date: | 2017-12-19 |
Appears in Collections: | Preprints der Fakultät für Mathematik Schweizer, Ben Prof. Dr. |
Files in This Item:
File | Description | Size | Format | |
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Preprint 2017-05.pdf | DNB | 794.71 kB | Adobe PDF | View/Open |
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