Fetching the paper…

Reading the bibliography…

Thermodynamic Geometry, Phase Transitions, and the Widom Line · Around

2011

Thermodynamic Geometry, Phase Transitions, and the Widom Line

Ruppeiner, George, Sahay, Anurag, Sarkar, Tapobrata et al.

Original
PDF
Post on X

Understand

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.

Built on

Pippard, A. B. The Elements of Classical Thermodynamics
1964
Earlier work this paper cites.
Tisza, L. Generalized Thermodynamics
1966
Earlier work this paper cites.
Kahl, G. D. Generalization of the Maxwell criterion for Van der Waals equation. Phys. Rev
1967
Earlier work this paper cites.
Widom, B. in Phase Transitions and Critical Phenomena
1972
Earlier work this paper cites.

Similar

Widom, B. The critical point and scaling theory. Physica
1974
Cited alongside, same era.
Callen, H. B. Thermodynamics and an Introduction to Thermostatistics
1985
Cited alongside, same era.
Ruppeiner, G. Riemannian geometry in thermodynamic fluctuation theory. Rev. Mod. Phys
1996
Cited alongside, same era.
Leachman, J. W., Jacobson, R. T., Penoncello, S. G. & Lemmon, E. W. Fundamental Equations of State for Parahydrogen, Normal Hydrogen and Orthohydrogen. J. Phys. Chem. Ref. Data
2009
Cited alongside, same era.
NIST Chemistry WebBook, available at the Web Site http://webbook.nist.gov/chemistry/
Cited in the paper.

Then

McMillan, P. F. & Stanley, H. E. Fluid Phases: Going supercritical, Nature Physics
2010
Later among the works it cites.
Simeoni, G. G. et al
2010
Later among the works it cites.
Sahay, A., Sarkar, T. & Sengupta, G. Thermodynamic geometry and phase transitions in Kerr-Newman- AdS Black Holes. Journal of High Energy Physics
2010
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…