Nonlinear classical diffusion in a contained plasma

AIP Publishing - Tập 25 Số 2 - Trang 402-407 - 1982
B. C. Low1
1High Altitude Observatory, National Center for Atmospheric Research, Boulder, Colorado 80307

Tóm tắt

The one-dimensional Cartesian model for the resistive diffusion of a force-free magnetic field in a plasma of negligible inertia is treated for the case of confinement between rigid walls made of perfect electrical conductors. An exact analysis is given of the general initial-boundary value problem. The field evolution is driven by a competition between Ohmic loss and the induction effects arising from the tenuous plasma moving to adjust with the diffusing magnetic field. The process is nonlinear and nonlocal. It is shown that the field topology determines whether electrical currents will decay away everywhere or else grow at isolated locations to infinite values in a finite period of time.

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Tài liệu tham khảo

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AIP Publishing

Tập 25 Số 2

402-407

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