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Effects of a finite number of particles on the thermodynamic properties of a harmonically trapped ideal charged Bose gas in a constant magnetic field |
| Duan-Liang Xiao(肖端亮), Meng-Yun Lai(赖梦云), Xiao-Yin Pan(潘孝胤) |
| Department of Physics, Ningbo University, Ningbo 315211, China |
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Abstract We investigate the thermodynamic properties of an ideal charged Bose gas confined in an anisotropic harmonic potential and a constant magnetic field. Using an accurate density of states, we calculate analytically the thermodynamic potential and consequently various intriguing thermodynamic properties, including the Bose-Einstein transition temperature, the specific heat, magnetization, and the corrections to these quantities due to the finite number of particles are also given explicitly. In contrast to the infinite number of particles scenarios, we show that those thermodynamic properties, particularly the Bose-Einstein transition temperature depends upon the strength of the magnetic field due to the finiteness of the particle numbers, and the collective effects of a finite number of particles become larger when the particle number decreases. Moreover, the magnetization varies with the temperature due to the finiteness of the particle number while it keeps invariant in the thermodynamic limit N→∞.
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Received: 22 June 2015
Revised: 10 September 2015
Accepted manuscript online:
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PACS:
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03.75.Hh
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(Static properties of condensates; thermodynamical, statistical, and structural properties)
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05.30.Jp
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(Boson systems)
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75.20.-g
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(Diamagnetism, paramagnetism, and superparamagnetism)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11375090), and the K. C. Wong Magna Foundation of Ningbo University, China. |
Corresponding Authors:
Xiao-Yin Pan
E-mail: panxiaoyin@nbu.edu.cn
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Cite this article:
Duan-Liang Xiao(肖端亮), Meng-Yun Lai(赖梦云), Xiao-Yin Pan(潘孝胤) Effects of a finite number of particles on the thermodynamic properties of a harmonically trapped ideal charged Bose gas in a constant magnetic field 2016 Chin. Phys. B 25 010307
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