Physics:Quantum Magnetohydrodynamics

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Magnetohydrodynamics (MHD) describes the behavior of conducting fluids such as plasmas.

It is derived as a macroscopic limit of kinetic theory.

Fundamental equations

Magnetohydrodynamics is described by a set of coupled equations:

Continuity equation (mass conservation):

∂ρ∂t+∇⋅(ρ𝐮)=0

Momentum equation:

ρ(∂𝐮∂t+𝐮⋅∇𝐮)=−∇p+𝐉×𝐁

Induction equation:

∂𝐁∂t=∇×(𝐮×𝐁)

Magnetic constraint:

∇⋅𝐁=0

Limitations

MHD does not include effects described by transport theory or drift physics.

See also

Table of contents (185 articles)

Index

Full contents

9. Quantum optics and experiments (5) ↑ Back to index
14. Plasma and fusion physics (8) ↑ Back to index
Conceptual illustration of plasma physics in a fusion context, showing magnetically confined ionized gas in a tokamak and the collective behavior governed by electromagnetic fields and transport processes.
Conceptual illustration of plasma physics in a fusion context, showing magnetically confined ionized gas in a tokamak and the collective behavior governed by electromagnetic fields and transport processes.

References


Author: Harold Foppele

Source attribution: Magnetohydrodynamics

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