Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-06-12
Physics
Condensed Matter
Statistical Mechanics
Substantially modified version with results of direct analysis with NIST data added. Some discussions are improved. The main c
Scientific paper
We construct a novel approach, based on thermodynamic geometry, to characterize first-order phase transitions from a microscopic perspective, through the scalar curvature in the equilibrium thermodynamic state space. Our method resolves key theoretical issues in macroscopic thermodynamic constructs, and furthermore characterizes the Widom line through the maxima of the correlation length, which is captured by the thermodynamic scalar curvature. As an illustration of our method, we use it in conjunction with the mean field Van der Waals equation of state to predict the coexistence curve and the Widom line. Where closely applicable, it provides excellent agreement with experimental data. The universality of our method is indicated by direct calculations from the NIST database.
Ruppeiner George
Sahay Anurag
Sarkar Tapobrata
Sengupta Gautam
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