Theoretical density distribution of plasma streaming around a cylinder

Physics

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Circular Cylinders, Collisionless Plasmas, Density Distribution, Metal Surfaces, Plasma Density, Boundary Conditions, Boundary Value Problems, Integral Equations, Magnetic Fields, Poisson Equation, Radial Distribution, Vlasov Equations, Wakes

Scientific paper

The distribution of plasma density around a metallic cylinder situated in a collisionless plasma is determined by using the system of Vlassov equations and the Poisson equation. The situation is idealized and a real body is replaced by an infinitely long metallic cylinder which absorbs or discharges all charged particles impinging on its surface. The method for solving the nonlinear integro-differential equation describing the boundary conditions is outlined, and a radial density profile (representing the plasma wake) with a plateau-like structure is presented for a plasma at rest with no magnetic field for different meshes in configuration and velocity space. It is shown that a magnetic field will produce an axymmetric wake if the gyration radius of the ions approaches the radius of the cylinder.

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