Conduction mode variation and inertial conductivity

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Electromagnetic Fields, Magnetohydrodynamic Stability, Modal Response, Momentum Transfer, Ohms Law, Plasma Conductivity, Boundary Value Problems, Current Density, Inertia Principle, Maxwell Equation, Plasma Dynamics, Time Constant

Scientific paper

Using separation of variables in space and time, two-dimensional solutions are found which are consistent with simple forms of the inertial Ohm's law, Maxwell's equations, and the equation of momentum transport. Conduction-mode variation (a temporal change in electrical conductivity due, e.g., to onset of a plasma instability) is frequently found necessary. The result for the effective conductivity shows that either the conduction-mode variation or inertial effects may dominate. In the inertial limit and in the absence of conduction-mode variation, the results are similar to the limiting results of Speiser (1970). However, the important time constant is the inverse growth rate of the current density rather than the lifetime of a particle in the system. Several solutions have magnetic-field structures with neutral points.

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