A class of three-dimensional gyroviscous magnetohydrodynamic models. (October 2020)

• Record Type: Journal Article
• Authors: Lingam, Manasvi; Morrison, Philip J.; Wurm, Alexander
• Is Part Of: Journal of plasma physics. Volume 86:Number 5(2020)
• Publication Date: 2020-10
• Subjects: plasma dynamics, -- plasma nonlinear phenomena, -- plasma properties; Plasma (Ionized gases) -- Periodicals; 530.4405
• DOI: 10.1017/S0022377820001038
• Languages: English
• ISSNs: 0022-3778

Abstract

Abstract : A Hamiltonian and action principle formalism for deriving three-dimensional gyroviscous magnetohydrodynamic models is presented. The uniqueness of the approach in constructing the gyroviscous tensor from first principles and its ability to explain the origin of the gyromap and the gyroviscous terms are highlighted. The procedure allows for the specification of free functions, which can be used to generate a wide range of gyroviscous models. Through the process of reduction, the noncanonical Hamiltonian bracket is obtained and briefly analysed.