Discrete Breathers in Hexagonal Dusty Plasma Lattices

Details Discrete Breathers in Hexagonal Dusty Plasma Lattices Discrete Breathers in Hexagonal Dusty Plasma Lattices

2009-03-11

arxiv.org/abs/0903.1939v5

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

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 $\e$ 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.

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