Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Oct 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jpha...17.2983s&link_type=abstract
Journal of Physics A - Mathematical and General (ISSN 0305-4470), vol. 17, Oct. 21, 1984, p. 2983-2994. Research supported by th
Physics
Condensed Matter
Statistical Mechanics
16
Condensation, Cosmology, Ideal Gas, Specific Heat, Statistical Mechanics, Antiparticles, Asymptotic Methods, Gas Dynamics, Particle Theory, Relativistic Particles
Scientific paper
Taking into account the possibility of particle-antiparticle pair production, the onset of Bose-Einstein condensation in an ideal relativistic Bose gas confined to an Einstein universe is investigated. The Poisson summation formula is used extensively in an explicit evaluation of the summations-over-states appearing in the problem, which permits the rigorous derivation of the condensate fraction, and the specific heat at constant volume of the system as smooth functions of temperature - from above the critical temperature down to 0 K. A detailed asymptotic analysis of the growth of the condensate and of the specific-heat maximum is then carried out and, in each case, finite-size corrections to the standard bulk results are obtained in explicit terms. Special cases of the nonrelativistic and extreme-relativistic versions of the model are examined at some length and, wherever possible, a comparison is made with the findings of previous authors.
Pathria R. K.
Singh Sumeetpal S.
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