By calculating the value of saturation density from the singularity of the partition function series, the differences between the Mayer series convergence and the virial series convergence for ideal bosons are also established.
📌 3 Key Takeaways
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Objective & Hypothesis:The equation of state of an ideal collection of bosons in the low-density and high-density regime are found using the method of cluster expansion with Mayer's generating function.
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Key Findings & Data:The saturation density and the other thermodynamic properties are calculated by the application of Mayer's convergence of the partition function.
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Conclusion & Impact:By calculating the value of saturation density from the singularity of the partition function series, the differences between the Mayer series convergence and the virial series convergence for ideal bosons are also established.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Equation of state · Mayer’s convergence · Bose–Einstein condensation
Abstract
The equation of state of an ideal collection of bosons in the low-density and high-density regime are found using the method of cluster expansion with Mayer's generating function. The saturation density and the other thermodynamic properties are calculated by the application of Mayer's convergence of the partition function. By calculating the value of saturation density from the singularity of the partition function series, the differences between the Mayer series convergence and the virial series convergence for ideal bosons are also established.
PUTHIYAVEETTIL, S. T., MURKOTH, U. K. (2018). High density equation of state and condensation of ideal Bose gas using Mayer’s generating function. Turkish Journal of Physics, Cilt: 42 - Sayı: 6, 668–674. https://ajindex.com/articles/378582