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where <math>\alpha</math> indicates the particle species, <math>v</math> is the velocity, | where <math>\alpha</math> indicates the particle species, <math>v</math> is the velocity, | ||
<math>F</math> is a force (the Lorentz force acting on the particle) and <math>C_\alpha</math> the Fokker-Planck collision operator. | <math>F</math> is a force (the [http://en.wikipedia.org/wiki/Lorentz_force Lorentz force] acting on the particle) and <math>C_\alpha</math> the Fokker-Planck collision operator. | ||
The derivation of this collision operator is highly non-trivial and requires making specific assumptions; | The derivation of this collision operator is highly non-trivial and requires making specific assumptions; | ||
in particular it must be assumed that a single collision has a small random effect on the particle velocity, | in particular it must be assumed that a single collision has a small random effect on the particle velocity, |