English

Discrete Breathers in Hexagonal Dusty Plasma Lattices

Pattern Formation and Solitons 2015-05-13 v5

Abstract

The occurrence of single- or multisite localized vibrational modes, also called Discrete Breathers (DBs), in 2D hexagonal dusty plasma (DP) lattices is investigated. The system is described by a Klein-Gordon hexagonal lattice characterized by a negative coupling parameter \e\e in account of its inverse dispersive behavior. A theoretical analysis is performed in order to establish the possibility of existence of single- as well as three-site DBs in such systems. The study is complemented by a numerical investigation based on experimentally provided potential forms. This investigation shows that a DP lattice can support single site DBs while three-site in phase breathers could exist if specific conditions, about the inter-grain interaction strength, would hold. On the other hand, out of phase and vortex three site breathers cannot be supported since they are highly unstable.

Keywords

Cite

@article{arxiv.0903.1939,
  title  = {Discrete Breathers in Hexagonal Dusty Plasma Lattices},
  author = {V. Koukouloyannis and I. Kourakis},
  journal= {arXiv preprint arXiv:0903.1939},
  year   = {2015}
}
R2 v1 2026-06-21T12:20:38.711Z