Equation of Vlassov

The equation of Vlassov describes the dynamics of the particles in a plasma by neglecting the effect of the binary collisions on their trajectory. She is written:

$\backslash \; frac\; \{\backslash \; partial\; F\}\; \{\backslash \; partial\; T\}\; +\; \backslash \; bold\; v.\; \backslash \; frac\; \{\backslash \; partial\; F\}\; \{\backslash \; partial\; \backslash \; bold\; R\}\; +\; \backslash \; frac\; \{Q\}\; \{m\}\; E+\; \backslash \; bold\; v\; \backslash \; times\; \backslash \; bold\; B.\; \backslash \; frac\; \{\backslash \; partial\; F\}\; \{\backslash \; partial\; \backslash \; bold\; v\}\; =0$

The fields electric $\backslash \; bold\; E$ and magnetic $\backslash \; bold\; B$ take account of the forces applied to the particles as well as average electromagnetic field generated by the particles itself.

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