Landau-Kelly representation of statistical thermodynamics of a quantum plasma and Magnetic string waves

Author: grigol peradze
Co-authors: Nodar Tsintsadze
Keywords: thermodynamics of quantum plasma, Kelly distribution, Landau-Kelly distribution, Weibel instabilities, Richardson effect
Annotation:

We studied thermodynamic properties of quantum plasma in the strong, external, uniform and constant magnetic field. We have Investigated influence of strong magnetic field on various aspects of quantum Fermi plasma. In the strong magnetic field, distribution function becomes isotropic. In this work, we present two types of distribution functions: Firstly we used non-degenerate, quantum Landau-Kelly distribution function. It was found that adiabatic equation is similar to the adiabatic equation for Maxwell distribution function. We also investigated Weibel instabilities in non-degenerate Fermi plasma and new growth rate was obtained. Secondly, using Kelly's distribution for degenerate, quantum Fermi gas parallel and perpendicular components of pressure were obtained. We showed that Perpendicular component never becomes Zero and the three-dimensional system always stays three-dimensional, even for the strong magnetic field. Investigation of low-frequency electromagnetic waves in the case of Kelly's distribution gave new dispersion relation for waves propagating across a magnetic field, which we can call "magnetic string waves". Lastly, we investigated Richardson Effect in Metals. We calculated current density expression, that shows us the strong increase of Richardson effect in the strong, external magnetic field as for Landau-Kelly as Kelly distribution function.