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Plasma parameter : ウィキペディア英語版
Plasma parameter

The ''plasma parameter'' is a dimensionless number, denoted by capital Lambda, Λ. The plasma parameter is usually interpreted to be the argument of the Coulomb logarithm, which is the ratio of the maximum impact parameter to the classical distance of closest approach in Coulomb scattering. In this case, the plasma parameter is given by:〔Chen, F.F., Introduction to Plasma Physics and Controlled Fusion, (Springer, New York, 2006)〕
: \Lambda = 4\pi n \lambda_D^3
where
:''n'' is the number density of electrons,
D is the Debye length.
This expression is typically valid for a plasma in which ion thermal velocities are much less than electron thermal velocities. A detailed discussion of the Coulomb logarithm is available in the ''NRL Plasma Formulary'', pages 34–35.
Note that the word parameter is usually used in plasma physics to refer to bulk plasma properties in general: see plasma parameters.
An alternative definition of this parameter is given by the average number of electrons in a plasma contained within a Debye sphere (a sphere of radius the Debye length).
This definition of the plasma parameter is more frequently (and appropriately) called the Debye number, and is denoted N_D. In this context, the plasma parameter is defined as
: N_D = \frac n \lambda_D^3
Since these two definitions differ only by a factor of three, they are frequently used interchangeably.
Often the factor of 4\pi/3 is dropped. When the Debye length is given by \lambda_D = \sqrt}, the plasma parameter is given by〔Miyamoto, K., Fundamentals of Plasma Physics and Controlled Fusion, (Iwanami, Tokyo, 1997)〕
: N_D = \frac}
where
: ε0 is the permittivity of free space,
: ''k'' is Boltzmann's constant,
: ''q''''e'' is the electron charge,
: ''Te''is the electron temperature.
Confusingly, some authors define the plasma parameter as :
: \epsilon_p = \Lambda^\ .
== Coupling parameter ==

A closely related parameter is the plasma coupling \Gamma, defined as a ratio of the Coulomb energy to the thermal one:
: \Gamma = \frac .
The Coulomb energy (per particle) is
: E_\mathrm = \frac,
where for the typical inter-particle distance \langle r \rangle usually is taken the Wigner-Seitz radius. Therefore,
: \Gamma = \frac\sqrt()} .
Clearly, up to a numeric factor of the order of unity,
: \Gamma \sim \Lambda^\ .
In general, for multicomponent plasmas one defines the coupling parameter for each species ''s'' separately:
: \Gamma_s = \frac\sqrt()} .
Here, ''s'' stands for either electrons or (a type of) ions.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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