A machine learning based Bayesian optimization solution to non-linear responses in dusty plasmas
Open Access
- 18 February 2021
- journal article
- research article
- Published by IOP Publishing in Machine Learning: Science and Technology
- Vol. 2 (3), 035017
- https://doi.org/10.1088/2632-2153/abe7b7
Abstract
Nonlinear frequency response analysis is a widely used method for determining system dynamics in the presence of nonlinearities. In dusty plasmas, the plasma-grain interaction (e.g., grain charging fluctuations) can be characterized by a single particle nonlinear response analysis, while grain-grain nonlinear interactions can be determined by a multi-particle nonlinear response analysis. Here, a machine learning-based method to determine the equation of motion in the nonlinear response analysis for dust particles in plasmas is presented. Searching the parameter space in a Bayesian manner allows an efficient optimization of the parameters needed to match simulated nonlinear response curves to experimentally measured nonlinear response curves.Keywords
Funding Information
- National Science Foundation (1707215)
- NASA (1571701)
This publication has 29 references indexed in Scilit:
- Complex plasmas: An interdisciplinary research fieldReviews of Modern Physics, 2009
- Nonlinear Energy HarvestingPhysical Review Letters, 2009
- Complex (dusty) plasmas: Current status, open issues, perspectivesPhysics Reports, 2005
- Mode spectra of thermally excited two-dimensional dust Coulomb clustersPhysical Review E, 2003
- Self-Consistent Nonlinear Resonance and Hysteresis of a Charged Microparticle in a rf SheathPhysical Review Letters, 2002
- Nonlinear resonances of particles in a dusty plasma sheathPhysical Review E, 2001
- Nonlinear Vertical Oscillations of a Particle in a Sheath of a rf DischargePhysical Review Letters, 2000
- Parabolic Plasma Sheath Potentials and their Implications for the Charge on Levitated Dust ParticlesPhysical Review Letters, 2000
- Gradient-based learning applied to document recognitionProceedings of the IEEE, 1998
- Structure and stability of the plasma crystalPhysical Review E, 1996