2012/09/30 by Michael Strickland, Veronica Dexheimer, Verônica Dexheimer +2 · 126 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electron #Fermi Gamma-ray Space Telescope #Fermi gas #Field (mathematics) #High-Energy Particle Collisions Research #Magnetic field #Mathematics #Nuclear physics #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #astro-ph.HE #astro-ph.SR #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.86.125032
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 86(12) (American Physical Society) · 16 pages, 6 figures; v5: typo in eq (20) corrected 1/(2 Pi) -> 1/(2 Pi^2)
openalex publication_date 2012/12/20 · arxiv created 2013/05/24 · arxiv updated 2013/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate the number density, energy density, transverse pressure, longitudinal pressure, and magnetization of an ensemble of spin one-half particles in the presence of a homogenous background magnetic field. The magnetic field direction breaks spherical symmetry causing the pressure transverse to the magnetic field direction to be different than the pressure parallel to it. We present explicit formulas appropriate at zero and finite temperature for both charged and uncharged particles including the effect of the anomalous magnetic moment. We demonstrate that the resulting expressions satisfy the canonical relations \ensuremathΩ=\ensuremath-P_\ensuremath∥ and P_\ensuremath⊥=P_\ensuremath∥\ensuremath-MB, with M=\ensuremath-\ensuremath∂\ensuremathΩ/\ensuremath∂B being the magnetization of the system. We numerically calculate the resulting pressure anisotropy for a gas of protons and a gas of neutrons and demonstrate that the inclusion of the anomalous magnetic increases the level of pressure anisotropy in both cases.