Low-temperature properties of a quantum Fermi gas in curved space-time
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We consider the behavior of an ideal quantum Fermi gas in curved space-time. We obtain and analyze the expressions for the densities of the Helmholtz free energy and grand thermodynamic potential in this case. We find the dependence of chemical potential and Fermi energy on the curvature of space-time and compute the explicit expression for the chemical potential of a Fermi gas at high densities and in the low-temperature approximation.
KeywordsPhysical Review Helmholtz Free Energy Fermi Distribution Function External Gravitational Field Imaginary Time Formalism
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- Birrell, N. D., and Davies, P. S. W. (1982).Quantum Fields in Curved Space-Time, Cambridge University Press, Cambridge.Google Scholar