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Thermodynamics of an Ideal Bose Gas with a Finite Number of Particles Confined in a Three-Dimensional Quartic Trap
- Source :
- Journal of Low Temperature Physics. 170:99-107
- Publication Year :
- 2012
- Publisher :
- Springer Science and Business Media LLC, 2012.
-
Abstract
- Within an exact canonical-ensemble treatment, we investigate the thermodynamics for a finite number of ideal bosons confined in a three-dimensional quartic trap. We calculate several physical quantities including the specific heat C N , chemical potential μ, condensate fraction 〈n 0〉/N, root-mean-square fluctuations δn 0 of the condensate population, and transition temperature T c . We discuss the particle-number dependence of T c through proposing three T c definitions, which are compared with ones derived in the grand canonical ensemble.
- Subjects :
- Condensed Matter::Quantum Gases
Physics
education.field_of_study
Condensed matter physics
Bose gas
Transition temperature
Population
Thermodynamics
Condensed Matter Physics
Atomic and Molecular Physics, and Optics
Grand canonical ensemble
Quantum mechanics
Quartic function
General Materials Science
Ideal (ring theory)
education
Physical quantity
Boson
Subjects
Details
- ISSN :
- 15737357 and 00222291
- Volume :
- 170
- Database :
- OpenAIRE
- Journal :
- Journal of Low Temperature Physics
- Accession number :
- edsair.doi...........c7548229466fb9f2a83efe7e6dc51a95