Synchronization of Nonlinear Waves in Dusty Plasma

A. Mir; S. Tiwari; A. Sen; C. Crabtree; G. Ganquli; J. Goree

doi:10.1109/ICOPS45740.2023.10481267

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Conference proceeding

Synchronization of Nonlinear Waves in Dusty Plasma

A. Mir, S. Tiwari, A. Sen, C. Crabtree, G. Ganquli and J. Goree

2023 IEEE International Conference on Plasma Science (ICOPS), pp.1-1

05/21/2023

DOI: 10.1109/ICOPS45740.2023.10481267

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Abstract

Synchronization is a collective nonlinear phenomenon in which two or more systems develop rhythmic synchrony for certain characteristic frequencies through weak nonlinear interactions1. It is observed in the collection of discrete systems or in a fluid or fluid-like continuum medium1. We present a theoretical model of the synchronization of natural acoustic modes in dusty plasma treated as a charged fluid. The one-dimensional model is based on a forced Korteweg-de Vries-Burgers (fKdV-B) formulation of the dust fluid dynamics in the weak nonlinearity reqime2. Synchronization of dust density or dust acoustic waves, driven by an external frequency source, has been explored in various dusty plasma experiments 3-5. However, there is no available theoretical model based on a wave equation exhibiting both nonlinearity and dispersion in a plasma that can successfully describe the global synchronization of propagating waves 3-5 . We have demonstrated that the fKdV-B model shows harmonic (1:1) and super-harmonic (1:2) synchronization states using a cnoidal square driver of traveling waveform2. The domains of synchronized states are delineated in the Arnold tongue, showing excellent quantitative agreement with dusty plasma experiment3. The fKdV-B model can explain the synchronization of waves in nonlinear dispersive systems with fluid-like convective nonlinearity.

Fluid Dynamics

Harmonic Analysis

Mathematical Models

Dusty plasmas

Plasmas

Propagation

Tongue

Details

Title: Subtitle: Synchronization of Nonlinear Waves in Dusty Plasma
Creators: A. Mir - Indian Institute of Technology Jammu
S. Tiwari - Indian Institute of Technology Jammu
A. Sen - Institute for Plasma Research
C. Crabtree - United States Naval Research Laboratory
G. Ganquli - United States Naval Research Laboratory
J. Goree - University of Iowa
Resource Type: Conference proceeding
Publication Details: 2023 IEEE International Conference on Plasma Science (ICOPS), pp.1-1
Publisher: IEEE
DOI: 10.1109/ICOPS45740.2023.10481267
eISSN: 2576-7208
Language: English
Date published: 05/21/2023
Academic Unit: Physics and Astronomy; Mechanical Engineering
Record Identifier: 9984621360302771

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