Lundquist number

In plasma physics, the Lundquist number (denoted by $S$) is a dimensionless ratio which compares the timescale of an Alfvén wave crossing to the timescale of resistive diffusion. It is a special case of the Magnetic Reynolds number when the Alfvén velocity is the typical velocity scale of the system, and is given by

${\displaystyle S={\frac {Lv_{A}}{\eta }},}$

where $L$ is the typical length scale of the system, $\eta$ is the magnetic diffusivity and $v_{A}$ is the Alfvén velocity of the plasma.

High Lundquist numbers indicate highly conducting plasmas, while low Lundquist numbers indicate more resistive plasmas. Laboratory plasma experiments typically have Lundquist numbers between ${\displaystyle 10^{2}-10^{8}}$, while in astrophysical situations the Lundquist number can be greater than $10^{{20}}$. Considerations of Lundquist number are especially important in magnetic reconnection.

See also

• Magnetic Reynolds number

References

• Priest, Eric; Forbes, Terry (2000), Magnetic Reconnection (PDF), Cambridge University Press, ISBN 0-521-48179-1