Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-10-18
Physics
Condensed Matter
Quantum Gases
34 pages, 24 Figures. To appear in the International Journal of Modern Physics B
Scientific paper
A hard-sphere (HS) Bose gas in a trap is investigated at finite temperatures in the weakly-interacting regime and its thermodynamic properties are evaluated using the static fluctuation approximation (SFA). The energies are calculated with a second-quantized many-body Hamiltonian and a harmonic oscillator wave function. The specific heat capacity, internal energy, pressure, entropy and the Bose-Einstein (BE) occupation number of the system are determined as functions of temperature and for various values of interaction strength and number of particles. It is found that the number of particles plays a more profound role in the determination of the thermodynamic properties of the system than the HS diameter characterizing the interaction, that the critical temperature drops with the increase of the repulsion between the bosons, and that the fluctuations in the energy are much smaller than the energy itself in the weakly-interacting regime.
Al-Sugheir Mohamed K.
Ghassib Humam B.
Qashou Saleem I.
Sakhel Asaad R.
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