NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2013, Vol.16, No.1, pp.65-71


Kinetic Equation for a System of Particles in a Uniform Magnetic Field on the Background Lobachevsky Space
Yu.Kurochkin and I.Rybak

In this paper we considered kinetic equations for one-point distribution function on the background Lobachevsky space in hyperbolic cylindrical, cylindrical, hyperbolic horospheric and quasi-Cartesian coordinates with different magnetic fields, that coincide in the limiting case of a flat space. Some solutions of kinetic equations were found for equilibrium state and they were compared with solutions of kinetic equation in the flat space.


Key words: Lobachevsky space, kinetic equation, uniform magnetic field, Killing vector

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