Planar incompressible Yang-Mills magnetohydrodynamics

Computer Science

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Incompressible Fluids, Magnetohydrodynamic Flow, Neutron Stars, Yang-Mills Fields, Degrees Of Freedom, Equations Of Motion, Hamiltonian Functions, Lie Groups, Plasma Dynamics, Stellar Models, Two Dimensional Flow

Scientific paper

The planar incompressible MHD motion of a single classical fluid with internal Yang-Mills degrees of freedom is investigated analytically, examining the effects of non-Abelian gauge charge on the Hamiltonian structure. Two related families of Hamiltonian structures are derived and associated with semidirect-product Lie algebras. The implications of these findings for the magnetofluiddynamics of neutron stars are indicated.

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