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Analysis of vibrational resonance in bi-harmonically driven plasma
T O Roy-Layinde1, J A Laoye1, O O Popoola2
1Department of Physics, Olabisi Onabanjo University, Ago-Iwoye, Nigeria.
Chaos (Woodbury, N.Y.)
|October 27, 2016
Summary
Vibrational resonance (VR) in a two-fluid plasma model is induced by a high-frequency electric field, originating from both plasma potential and nonlinear dissipation effects. This study reveals complex dynamics and resonance phenomena in driven plasma systems.
Area of Science:
- Plasma Physics
- Nonlinear Dynamics
- Fluid Dynamics
Background:
- Vibrational resonance (VR) is a key phenomenon in nonlinear systems.
- Understanding VR in plasma environments is crucial for various applications.
- Previous studies often simplified plasma models, neglecting nonlinear dissipation.
Purpose of the Study:
- To investigate vibrational resonance in a bi-harmonically driven two-fluid plasma model.
- To analytically derive the slow oscillations and identify the origins of VR.
- To explore the impact of external electric fields on plasma dynamics and resonance.
Main Methods:
- Analytical derivation of slow oscillation equations using the method of direct separation of motion.
- Modeling a two-fluid plasma with nonlinear dissipation.
- Numerical simulations to observe dynamical changes and resonance phenomena.
Main Results:
- An equation for slow oscillations was derived, showing dependence on fast signal parameters.
- High-frequency electric fields were shown to induce and significantly modify VR.
- VR origins were identified in both effective plasma potential and nonlinear dissipation.
- Numerical simulations revealed symmetry-breaking bifurcations, attractor escapes, reversed period-doubling, and single/double resonances.
Conclusions:
- External electric fields play a critical role in inducing and controlling vibrational resonance in this plasma model.
- Nonlinear dissipation contributes significantly to the emergence of VR, alongside plasma potential effects.
- The study highlights complex nonlinear behaviors and resonance phenomena in driven plasma systems, offering insights into their dynamics.
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