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Riemannian geometry of the Pauli paramagnetic gas

Kamran Kaviani·Ali Dalafi Rezaie
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Abstract

We investigate the thermodynamic curvature resulting from a Riemannian geometry approach to thermodynamics for the Pauli paramagnetic gas which is a system of identical fermions each with spin 1/2. We observe that the absolute value of thermodynamic curvature can be interpreted as a measure of the stability of the considered system only in the classical and semiclassical regime. But in quantum regime some exceptions are observed.

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Kamran Kaviani, Ali Dalafi Rezaie. 1998-12-03. Riemannian geometry of the Pauli paramagnetic gas. https://arxiv.org/abs/cond-mat/9812054

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