An approximation for the specific heat of an ideal Bose as an explicit function of temperature above the condensation temperature Tc is derived. The formula yields the exact values of the specific heat and its first derivative at Tc and has an accuracy of at least 0.3% over the full range of temperatures.

1.
K. Huang, Statistical Mechanics, 2nd ed. (Wiley, New York, 1987), p. 292.
2.
R. K. Pathria, Statistical Mechanics, 2nd ed. (Butterworth-Heinemann, Boston, 1996), p. 164.
3.
R. P. Feynman, Statistical Mechanics (Addison-Wesley, Reading, MA, 1972), p. 33, refers the reader to Ref. 4 for a calculation of the discontinuity in (∂CV/∂T)V at Tc.
4.
L. D. Landau and E. M. Lifshitz, Statistical Physics, 3rd ed. (Pergamon Press, Oxford, 1980), p. 183, gives Δ(∂CV/∂T)V=3.66Nk/Tc.
5.
R. Baierlein, Thermal Physics (Cambridge University Press, Cambridge, 1999), p. 204, contains a formula CV=3/2Nk[1+0.231(Tc/T)3/2].
6.
D. V. Schroeder, An Introduction to Thermal Physics (Addison-Wesley, San Francisco, 2000), p. 324, guides the reader to CV through numerical exercises.
7.
F. London, Superfluids (Wiley, New York, 1954), Vol. 2, pp. 48, 203.
8.
J. E.
Robinson
, “
Note on the Bose-Einstein integral functions
,”
Phys. Rev.
83
,
678
679
(
1951
).
9.
London’s formula reads CV=3/2Nk[1+0.231(Tc/T)3/2+0.045(Tc/T)3+0.007(Tc/T)9/2+…] [which is equivalent to Pathria’s Eq. (15) on p. 160]. Although the virial expansion is not supposed to be suitable in the neighborhood of Tc, it yields 1.925Nk for CV at Tc, a satisfactory approximation. This formula can not be used to decide whether or not the specific heat is continuous at Tc.
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