Electromagnetic waves in lattice Boltzmann magnetohydrodynamics
P. J. Dellar (2010) Electromagnetic
waves in lattice Boltzmann magnetohydrodynamics Europhys. Lett. 90 50002
Reprint available as a PDF ( LBEM_reprint.pdf
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Abstract
An existing lattice Boltzmann formulation of non-relativistic
magnetohydrodynamics represents the magnetic field using a set of
vector-valued distribution functions. By expressing the behaviour of
this system using a basis of moments of the distribution functions, we
derive an evolution equation for the electric field that coincides with
the combination of Maxwell's equation, including the displacement
current, and Ohm's law. Numerical experiments verify the propagation of
electromagnetic waves radiated from an oscillating dipolar current.