Thermodynamic restrictions on the heat capacity of a fermion gas

M.A. Ramirez-Moreno, G. Ares de Parga and F. Angulo-Brown

Physica A: Statistical Mechanics and its Applications, 2022, vol. 592, issue C

Abstract: Using the thermodynamic restrictions imposed by Carnot theorem over an Otto cycle that operates at maximum work regime and applying them to obtain the heat capacities of electron gases stemming from different metals which provide enough electrons to behave as fermion gases with CV=αT−βT3, the coefficients α and β are calculated from a free electron gas model. These values agree with the experimental data for metals with high electronegativities; that is, only these metals with high electronegativities provide a fermion gas that is in accordance with the thermodynamic restrictions presented in this work.

Keywords: Fermi gas; Thermodynamic restrictions; Heat capacity; Carnot cycle; Otto cycle (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:592:y:2022:i:c:s0378437121009638

DOI: 10.1016/j.physa.2021.126782

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