Riemannian geometry of the Pauli paramagnetic gas

1998/12/03 by Kamran Kaviani, Kaviani, Kamran, Ali Dalafi Rezaie +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometric Analysis and Curvature Flows #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/9812054

Latex, 10 pages, 4 postscript figures

arxiv created 1998/12/03 · arxiv updated 2009/11/30

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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