The small pitch angle scattering in the second approximation

Physics

Scientific paper

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Scientific paper

The diffusive particle propagation and its pitch angle scattering is studied using kinetic equation of the Fokker Planck form. Due to existence of the strong regular magnetic field (MF) the particles are preferable propagated along the mean MF direction and undergo the pitch angle scattering with respect to it. The paper deals with solution of the equation for particle distribution function in the second order approximation in the pitch angle. The exact analytical solution is obtained in an integral form. The well known solution in the first order pitch angle approximation can be restored performing the small time limit in the result. Unlike the first order solution the obtained solution in the second approximation rightly shows that the pitch angle diffusion is closely connected with the particle transport along the mean MF. The expression for particle density for the point instantaneous unidirectional source also has been obtained.

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