Journal article
Nonlinear compressional waves in a two-dimensional Yukawa lattice
Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.68(4 Pt 2), pp.046402-464028
10/2003
DOI: 10.1103/PhysRevE.68.046402
PMID: 14683049
Abstract
A modified Korteweg-de Vries (KdV) equation is obtained for studying the propagation of nonlinear compressional waves and pulses in a chain of particles including the effect of damping. Suitably altering the linear phase velocity makes this equation useful also for the problem of phonon propagation in a two-dimensional (2D) lattice. Assuming a Yukawa potential, we use this method to model compressional wave propagation in a 2D plasma crystal, as in a recent experiment. By integrating the modified KdV equation the pulse is allowed to evolve, and good agreement with the experiment is found. It is shown that the speed of a compressional pulse increases with its amplitude, while the speed of a rarefactive pulse decreases. It is further discussed how the drag due to the background gas has a crucial role in weakening nonlinear effects and preventing the emergence of a soliton.
Details
- Title: Subtitle
- Nonlinear compressional waves in a two-dimensional Yukawa lattice
- Creators
- K Avinash - University of IowaP Zhu - University of IowaV Nosenko - University of IowaJ Goree - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.68(4 Pt 2), pp.046402-464028
- DOI
- 10.1103/PhysRevE.68.046402
- PMID
- 14683049
- ISSN
- 1539-3755
- eISSN
- 1550-2376
- Language
- English
- Date published
- 10/2003
- Academic Unit
- Physics and Astronomy; Mechanical Engineering
- Record Identifier
- 9984199853002771
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