Showing papers by "Mary K. Hudson published in 1996"

A magnetohydrodynamic model of kinetic Alfvén waves with finite ion gyroradius

Abstract: Low‐frequency magnetohydrodynamic equations including the effects of finite ion Larmor radius are derived. These equations contain all the physical terms necessary to describe kinetic Alfven waves. Among other applications, these waves are used to interpret ultra‐low‐frequency wave phenomena in the Earth’s magnetosphere. The finite ion Larmor radius effects are usually disregarded; however, under magnetospheric conditions, the ion temperature cannot be considered negligible since Ti≥Te. The finite ion gyroradius is accounted for by the ion stress tensor calculated in this Brief Communication. The nonlinear one‐fluid system of equations is shown to adequately describe linear kinetic Alfven waves in a low‐β(β≪1) homogeneous plasma. It is demonstrated that energy of the plasma system is conserved.