Thermodynamics of ideal Fermi gas under generic power law potential in $d$-dimension

Abstract

Thermodynamics of ideal Fermi gas trapped in an external generic power law potential $U={\sum }_{i=1}^d{c}_i|\frac{x_i}{a_i}{|}^{n_i}$ are investigated systematically from the grand thermodynamic potential in $d$ dimensional space. These properties are explored deeply in the degenerate limit ($\mu >>K_{B}T$), where the thermodynamic properties are greatly dominated by Pauli exclusion principle. Pressure and energy along with the isothermal compressibilty is non zero at $T=0K$, denoting trapped Fermi system is quite live even at absolute zero temperature. The nonzero value of compressibilty denotes zero point pressure is not just a constant but depends on volume.

arXiv commentarXiv admin note: text overlap with arXiv:1502.07054

Cited by in corpus (2)

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