Discrete Breathers in Hexagonal Dusty Plasma Lattices

TL;DR

This paper explores the existence and stability of discrete breathers in 2D hexagonal dusty plasma lattices, combining theoretical analysis with numerical simulations to identify conditions for their formation.

Contribution

It provides a theoretical and numerical study demonstrating the conditions under which single- and three-site discrete breathers can exist in hexagonal dusty plasma lattices.

Findings

Single-site discrete breathers can exist in the lattice.

Three-site in-phase breathers are possible under specific conditions.

Out-of-phase and vortex breathers are unstable and cannot be supported.

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.