A Simple Model of Bose–Einstein Condensation of Interacting Particles

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• 作者：Yu. M. Poluektov
• 关键词：Bose–Einstein condensation ; Heat capacity ; Interaction ; Particle number fluctuation
• 刊名：Journal of Low Temperature Physics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：186
• 期：5-6
• 页码：347-362
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Condensed Matter Physics; Characterization and Evaluation of Materials; Magnetism, Magnetic Materials;
• 出版者：Springer US
• ISSN：1573-7357
• 卷排序：186

文摘

A simple model of Bose–Einstein condensation of interacting particles is proposed. It is shown that in the condensate state the dependence of thermodynamic quantities on the interaction constant does not allow an expansion in powers of the coupling constant. Therefore, it is impossible to pass to the Einstein model of condensation in an ideal Bose gas by means of a limiting passage, setting the interaction constant to zero. The account for the interaction between particles eliminates difficulties in the description of condensation available in the model of an ideal gas, which are connected with the fulfillment of thermodynamic relations and an infinite value of the particle number fluctuation in the condensate phase.