Thermodynamics of the relativistic Fermi gas in D dimensions

Francisco J. Sevilla and Omar Piña

Physica A: Statistical Mechanics and its Applications, 2017, vol. 482, issue C, 585-596

Abstract: The influence of spatial dimensionality and particle–antiparticle pair production on the thermodynamic properties of the relativistic Fermi gas, at finite chemical potential, is studied. Resembling a “phase transition”, qualitatively different behaviors of the thermodynamic susceptibilities, namely the isothermal compressibility and the specific heat, are markedly observed at different temperature regimes as function of the system dimensionality and of the rest mass of the particles. A minimum in the temperature dependence of the isothermal compressibility marks a characteristic temperature, in the range of tenths of the Fermi temperature, at which the system transit from a “normal” phase, to a phase where the gas compressibility grows as a power law of the temperature.

Keywords: Relativistic ideal Fermi gas; Thermodynamic susceptibilities; Particle–antiparticle pair production (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:482:y:2017:i:c:p:585-596

DOI: 10.1016/j.physa.2017.04.148

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