Debye_number¶

plasmapy.formulary.
Debye_number
(T_e: Unit(‘K’), n_e: Unit(‘1 / m3’))¶ Return the number of electrons within a sphere with a radius of the Debye length.
Aliases:
nD_
 Parameters
 Raises
astropy.units.UnitConversionError – If either argument is in incorrect units.
ValueError – If either argument contains invalid values.
 Warns
UnitsWarning
– If units are not provided, SI units are assumed. Returns
N_D – Number of electrons within a sphere with a radius of the Debye length.
 Return type
Notes
The Debye number is the number of electrons contained within a sphere with a radius of a Debye length and is given by
\[N_D = \frac{4π}{3} n_e λ_D^3\]The Debye number is also known as the plasma parameter.
Collective behavior requires \(N_D ≫ 1\).
See also
Example
>>> from astropy import units as u >>> Debye_number(5e6*u.K, 5e9*u.cm**3) <Quantity 2.17658...e+08>