Abstract
Using the formalism of geometrothermodynamics, we investigate the geometric properties of the equilibrium manifold for diverse thermodynamic systems. Starting from Legendre invariant metrics of the phase manifold, we derive thermodynamic metrics for the equilibrium manifold whose curvature becomes singular at those points where phase transitions of first and second order occur. We conclude that the thermodynamic curvature of the equilibrium manifold, as defined in geometrothermodynamics, can be used as a measure of thermodynamic interaction in diverse systems with two and three thermodynamic degrees of freedom.
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H. Quevedo is on sabbatical leave from Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México.
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Quevedo, H., Sánchez, A., Taj, S. et al. Phase transitions in geometrothermodynamics. Gen Relativ Gravit 43, 1153–1165 (2011). https://doi.org/10.1007/s10714-010-0996-2
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DOI: https://doi.org/10.1007/s10714-010-0996-2