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The dependence on temperature of the relative fluctuation of the Bose condensate . The circlets denote the results of a numerical calculation of the integral in Eq. (31). Curve 1 is the leading contribution to the asymptotic expansion (45), curve 2 is with the next correction to Eq. (45) taken into account, and 3 curve is the asymptotic expansion (68), (71).
Behavior of the function in the vicinity of .
Integration contour for the integral in Eq. (31) for .
The difference between the approximate expressions for the fluctuations and the exact values . Curve 1 corresponds [see Eq. (72)] to the leading asymptotic contribution , curve 2 includes the asymptotic correction .
Dependence of the relative fluctuation on temperature for different values of the number of particles in the system.
Behavior of the smoothed functions for . Curve 1—, curve 2—.
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