Landau-Kelly Representation of Statistical Thermodynamics of Quantum Plasma and Magnetic String Waves

摘要

We studied thermodynamic quantities of the quantum plasma in strong magnetic field.In this case, the distribution function becomes anisotropic, due to strong magnetic field. First, we consider non-degenerate quantum, Landau and Kelly distribution function. It was found that adiabatic equation is similar to the adiabatic equation for Maxwell's distribution function. Using Kelly's distribution for degenerate Fermi gas, parallel and perpendicular components of pressure were derived. It was found that perpendicular component never becomes zero and three-dimensional system always stays three dimensional. Also, investigation of low-frequency electromagnetic waves in the case of Kelly's distribution gave new dispersion relation for waves propagating across the magnetic field which we can call "magnetic string waves".