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Covariant constitutive relations and relativistic inhomogeneous plasmas

The discovery of Landau damping was a milestone in understanding collision-less damping in a plasma, restricted to homogeneous, stationary processes. How such processes take place in inhomogeneous, non-stationary plasmas encountered in, inter alia, laser wakefield accelerators and fusion reactors, is a difficult unsolved problem. This paper, for the first time extends the Landau mechanism to non-stationary inhomogeneous plasmas. A referee for the paper stated: ”The paper … is a very serious contribution to a complex and difficult problem of covariant description of relativistic hot plasma, taking into account as much simultaneous physical phenomena as possible ... bringing numerous new results.”