Synchronization of Dust Acoustic Waves in a forced Korteweg-de Vries-Burgers model

TL;DR

This paper investigates how dust acoustic waves synchronize with external periodic forces using a driven Korteweg-de Vries-Burgers model, revealing harmonic and super-harmonic states and their parameter domains, with relevance to experimental observations.

Contribution

It introduces a model for dust acoustic wave synchronization incorporating nonlinear and dispersive effects, and maps the existence of synchronized states in parameter space.

Findings

Identification of harmonic and super-harmonic synchronization states.

Existence domains mapped as Arnold tongue diagrams.

Resemblance to experimental results discussed.

Abstract

The synchronization of dust acoustic waves to an external periodic source is studied in the framework of a driven Korteweg-de Vries-Burgers equation that takes into account the appropriate nonlinear and dispersive nature of low frequency waves in a dusty plasma medium. For a spatio-temporally varying source term the system is shown to demonstrate harmonic (1:1) and super-harmonic (1:2) synchronized states. The existence domains of these states are delineated in the form of Arnold tongue diagrams in the parametric space of the forcing amplitude and forcing frequency and their resemblance to some past experimental results is discussed.