Corrected Analysis of Microcanonical Ensemble Model of Mixture of Fermions and Bosons at the Low-Temperature Limit

Ritesh Purushottam Harshe¹ , Rupsa De²

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.5 , pp.31-38, Oct-2020

Online published on Oct 31, 2020

Copyright © Ritesh Purushottam Harshe, Rupsa De . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In a microcanonical ensemble of bosons dominated by fermions, a statistical distribution model is developed based on pair interaction between the fermions and bosons. The phase space volume is calculated and maximized. Corrected expressions for entropy, total internal energy and specific heat of the model are derived using simple thermodynamic relations. Total internal energy and specific heat are plotted as a function of temperature. The natures of the curves obtained are studied. The abrupt jump of internal energy is at 0.007063 K and that of specific heat is at 0.006443K. We see oscillations in specific heat and quantization in internal energy before their corresponding abrupt jumps.

Key-Words / Index Term :
Microcanonical, Ensembles, Pair interaction, Entropy, Internal energy, Specific heat

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