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
Issue Date: 2017-12-19
Appears in Collections:Schweizer, Ben Prof. Dr.
Preprints der Fakultät für Mathematik

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