Relativistic Equilibrium Distribution by Relative Entropy Maximization

Physics

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[2772] Magnetospheric Physics / Plasma Waves And Instabilities

Scientific paper

The equilibrium distribution function of relativistic plasmas has been calculated based on the maximum entropy principle. The equilibrium distribution function is a necessary ingredient for theoretical or numerical study of various plasma processes. Though the relativistic equilibrium state has been long believed to be the Juttner distribution, a number of papers have been published in recent years proposing alternative equilibrium states. However, some of these papers do not pay enough attention to the covariance of distribution functions, resulting confusion in equilibrium states. Starting from a fully covariant expression to avoid this confusion, it has been shown in the present study that the Juttner distribution is the maximum entropy state if we assume the Lorentz symmetry.

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