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

Ajaz Mir, Sanat Tiwari, Abhijit Sen, Chris Crabtree, Gurudas Ganguli and John Goree
ArXiv.org
10/14/2022
DOI: 10.48550/arxiv.2210.07609
url
https://doi.org/10.1103/PhysRevE.107.035202View
Published (Version of record)This article has now been published in a journal and has been peer-reviewed by subject experts. This version may differ significantly from the preprint version. Access restricted to faculty, staff and students
url
https://doi.org/10.48550/arxiv.2210.07609View
Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

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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.
 Physics - Plasma Physics FOS: Physical sciences Plasma Physics (physics.plasm-ph)

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