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On the theory of Bose–condensate fluctuations in systems of finite size
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View: Figures


Image of FIG. 1.
FIG. 1.

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).

Image of FIG. 2.
FIG. 2.

Behavior of the function in the vicinity of .

Image of FIG. 3.
FIG. 3.

Integration contour for the integral in Eq. (31) for .

Image of FIG. 4.
FIG. 4.

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 .

Image of FIG. 5.
FIG. 5.

Dependence of the relative fluctuation on temperature for different values of the number of particles in the system.

Image of FIG. 6.
FIG. 6.

Behavior of the smoothed functions for . Curve 1, curve 2.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: On the theory of Bose–condensate fluctuations in systems of finite size