Bose-Einstein condensation in an Einstein universe

Details Bose-Einstein condensation in an Einstein universe Bose-Einstein condensation in an Einstein universe

Aug 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978jpha...11.1603a&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 11, Aug. 1978, p. 1603-1620.

Astronomy and Astrophysics

Astrophysics

16

Astrophysics, Bosons, Condensing, Ideal Gas, Thermodynamic Properties, Critical Temperature, Specific Heat

Scientific paper

The condensation of a nonrelativistic ideal Bose gas in an Einstein universe is investigated. Explicit expressions for the condensate fraction and the specific heat are obtained by using the Poisson summation formula to express the summation as integrations plus corrections. It is shown that the finiteness of the system smoothes out the cusp-like singularity of the infinite system. A rigorous asymptotic analysis of the critical temperature and the specific heat maximum are given, and the relation with the scaling theory of finite size effects is briefly discussed.

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