2000/12/31 by Claudio O. Dib, Olivier Espinosa, Olivier R. Espinosa · 2 citations
Mathematics · Physics and Astronomy · #Degenerate energy levels #Dust and Plasma Wave Phenomena #Electron #Energy (signal processing) #Fermi gas #Field (mathematics) #High-Energy Particle Collisions Research #Magnetic field #Magnetization #Quantum and electron transport phenomena #astro-ph #cond-mat #math-ph #math.MP
paper · pdf · doi:10.1016/s0550-3213(01)00360-1
published as Nucl.Phys.B612:492-518,2001 · 33 pages, 6 figures, LaTeX 2e, uses epsf. v2: References added, minor additions to contents
arxiv created 2001/06/05 · openalex publication_date 2001/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We obtain explicit expressions for thermodynamic quantities of a relativistic degenerate free electron gas in a magnetic field in terms of Hurwitz Zeta functions. The formulation allows for systematic expansion in all regimes. Three energy scales appear naturally in the degenerate relativistic gas: the Fermi energy Ef, the temperature T and an energy related to the magnetic field or Landau level spacing, eB/Ef. We study the cold and warm scenarios, T << eB/Ef and eB/Ef << T, respectively. We reproduce the oscillations of the magnetization as a function of the field in the cold regime and the dilution of them in the warm regime.