Description of nonlinear effects in a relativistic plasma using Hamiltonian formalism

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Electron Plasma, Electron-Positron Plasmas, Hamilton-Jacobi Equation, Hamiltonian Functions, Magnetohydrodynamics, Relativistic Plasmas, Distribution Functions, Electric Fields, Magnetic Fields, Mathematical Models, Maxwell Equation, Nonlinearity, Statistical Distributions

Scientific paper

Hamiltonian formalism is introduced to a relavistic many fluid hydrodynamic model of plasma. With its help, a wide circle on nonlinear effects in plasma astrophysics both in electron-ion plasma and in electron-positron are investigated. Relativistic plasma consisting of N sorts of particle, each sort being charaterized by temperature, charge and mass are considered.

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