Discrete Breathers in Hexagonal Dusty Plasma Lattices

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 $\e$ 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.

References in corpus (6)

• Solitons in Triangular and Honeycomb Dynamical Lattices with the Cubic Nonlinearity
• Demonstration of the stability or instability of multibreathers at low coupling
• Nonlinear vertical oscillations of a particle in a sheath of a rf discharge
• Nonlinear theory of solitary waves associated with longitudinal particle motion in lattices - Application to longitudinal grain oscillations in a dust crystal
• Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics
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Cited by in corpus (5)

• On the stability of multibreathers in Klein-Gordon chains
• Multibreather and vortex breather stability in Klein--Gordon lattices: Equivalence between two different approaches
• Nonlinear Localized Modes in Two-Dimensional Hexagonally-Packed Magnetic Lattices
• Existence and stability of multisite breathers in honeycomb and hexagonal lattices
• Instability of ion kinetic waves in a weakly ionized plasma