Analytical nonlinear collisional dynamics of near-threshold eigenmodes
Vinicius Duarte, Nikolai Gorelenkov
TL;DR
This paper presents a closed-form analytical solution for the nonlinear dynamics of near-threshold eigenmodes in collisional plasmas, aiding code verification and experimental analysis across multiple disciplines.
Contribution
It introduces a novel analytical solution for nonlinear eigenmode dynamics under strong scattering, applicable in plasma physics and fluid dynamics.
Findings
Solution verifies code accuracy in plasma and fluid simulations
Enables rapid prediction of experimental outcomes
Applicable to Alfvénic instabilities and turbulence studies
Abstract
A closed-form analytical solution is found for the nonlinear dynamics of isolated, near-threshold waves in the presence of strong scattering. The proposed solution can be useful in verifying codes across several disciplines, including Alfv\'enic instabilities and thermal plasma turbulence in fusion plasmas and studies of viscous shear flows in fluid dynamics, as well as a rapid means for predicting and analyzing experimental outcome.
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