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Geometrization of Thermodynamic Fluctuations

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Modeling Thermodynamic Distance, Curvature and Fluctuations

Part of the book series: Understanding Complex Systems ((UCS))

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Abstract

The entropy S can be calculated based on the number of microstates \(\Omega\) of a thermodynamic system by using the well-known formula due to Ludwig Boltzmann.

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References

  • Ruppeiner, G.: Thermodynamics: a Riemanian geometric model. Phys. Rev. A 20, 1608 (1979)

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  • Ruppeiner, G.: Riemannian geometric theory of critical phenomena. Phys. Rev. A 44, 3583 (1991)

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  • Ruppeiner, G.: Riemannian geometry in thermodynamic fluctuation theory. Rev. Mod. Phys. 67, 605–659 (1995)

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Correspondence to Viorel Badescu .

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Badescu, V. (2016). Geometrization of Thermodynamic Fluctuations. In: Modeling Thermodynamic Distance, Curvature and Fluctuations. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-33789-0_8

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  • DOI: https://doi.org/10.1007/978-3-319-33789-0_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-33788-3

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