Thermodynamic curvature measures interactions
By George Ruppeiner. 2010
145 citations recorded by the source corpus.
Thermodynamic fluctuation theory originated with Einstein, who inverted the relation S=kB ln Ω to express the number of states in terms of entropy: Ω=exp(S/kB). The theory’s Gaussian approximation is discussed in most statistical mechanics texts. I review work showing how to go beyond the Gaussian approximation by adding covariance, conservation, and consistency. This generalization leads to a fundamentally new object: The thermodynamic Riemannian curvature scalar R, a thermodynamic invariant. I argue that |R| is related to the correlation length and suggest that the sign of R corresponds to whether the interparticle interactions are effectively attractive or repulsive.
Subfields: Applied Mathematics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/50c20415123d140d85f820f81c7c19cbcfa6c079
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In Applied Mathematics
In Statistical and Nonlinear Physics
Citations in the corpus
- Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes (2019, methodology): “This property has also been used to test the microscopic properties of other fluid systems [10, 11].”