Riemannian geometry of the Pauli paramagnetic gas

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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.
Latex, 10 pages, 4 postscript figures

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