Calculation of thermodynamic properties of finite Bose-Einstein systems
Calculation of thermodynamic properties of finite Bose-Einstein systems

Peter Borrmann
Jens Harting
Oliver Muelken
Eberhard R. Hilf

Small systems group   University of Oldenburg, Germany

fluct.pdf (PrePrint)

Date: 19980826

Article: published: Phys Rev A, Vol. 60, pp. 1519 - 1522 (1999)

Bose-Einstein, Bose-Einstein-Condensation, canonical ensemble, recursion formula, statistical physics, finite systems, thermodynamic properties

PACS96: 03.75.Fi Phase coherent atomic ensemble (Bose condensation)
PACS96: 05.30.Jp Boson systems
PACS96: 32.80.Pj Optical cooling of atoms; trapping

We derive an exact recursion formula for the calculation of
thermodynamic functions of finite systems obeying Bose-Einstein   
statistics. The formula is applicable for canonical systems where the
particles can be treated as noninteracting in some approximation, e.g.
like Bose-Einstein condensates in magnetic traps. The numerical
effort of our computation scheme grows only linear with the
number of particles.

As an example we calculate the relative ground state fluctuations
and specific heats for ideal Bose gases with a finite numbers of
particles enclosed in containers of different shapes.

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