Vlasov equation

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In plasma physics, the Vlasov equation is a differential equation describing the time evolution of the distribution function of a collisionless plasma consisting of charged particles with long-range interactions, such as Coulomb interactions. The equation was first proposed as a descriptor for plasmas by Anatoly Vlasov in 1938 and was later discussed in greater detail in his monograph. The Vlasov equation, combined with the Landau kinetic equation, describes collisional plasmas. In astrophysics, the Vlasov gas is used as a model for dark matter dynamics under Newtonian gravity, as dark matter is only known to interact gravitationally.

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