Riemannian geometry of the Pauli paramagnetic gas

Details Riemannian geometry of the Pauli paramagnetic gas Riemannian geometry of the Pauli paramagnetic gas

1998-12-03

arxiv.org/abs/cond-mat/9812054v1

Physics

Condensed Matter

Statistical Mechanics

Latex, 10 pages, 4 postscript figures

Scientific paper

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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