Jspeake: Created stub article for Ideal MHD

2026-04-13T13:31:16Z

Created stub article for Ideal MHD

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Ideal MHD (magnetohydrodynamics) is a simplification of MHD which assumes no plasma resistivity. The definition of the electric field, <math>\mathbf{E}</math>,
:<math> \mathbf{E}+\mathbf{v}\times\mathbf{B}=\eta\mathbf{J} </math>
is simplified (setting resistivity <math>\eta</math> to zero) to
:<math>\mathbf{E}=-\mathbf{v}\times\mathbf{B}</math>
for a fluid velocity <math>\mathbf{v}</math> and magnetic field <math>\mathbf{B}</math>. This allows for simple representations of [[MHD equilibrium|MHD equilibria]].
== Limitations ==
Ideal MHD cannot model physical phenomenon requiring resistivity. This imposes the 'frozen-in flux' condition where magnetic field lines are bound to fluid elements. This prevents modelling of, for example, [[Reconnection|magnetic reconnection]] events.

Ideal MHD - Revision history

Jspeake: Created stub article for Ideal MHD