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Thermodynamic fluctuation theory originated with Einstein who inverted the relation $S=k_B\ln\Omega$ to express the number of states in terms of entropy: $\Omega= \exp(S/k_B)$.
A. Einstein, “On the general molecular theory of heat,” Ann. Phys. (Leipzig)
1910
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D. Laugwitz,
1965
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K. Gauss,
1965
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S. Weinberg,
1972
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B. Widom, “The critical point and scaling theory,” Physica
1974
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F. Weinhold, “Thermodynamics and geometry,” Phys. Today
1976
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L. D. Landau and E. M. Lifshitz,
1977
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R. Graham, “Covariant formulation of non-equilibrium statistical thermodynamics,” Z. Phys. B
1977
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H. Grabert and M. S. Green, “Fluctuations and nonlinear irreversible processes,” Phys. Rev. A
1979
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G. Ruppeiner, “Thermodynamics: A Riemannian geometric model,” Phys. Rev. A
1979
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J. D. Bekenstein, “Black-hole thermodynamics,” Phys. Today
1980
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G. Ruppeiner, “Application of Riemannian geometry to the thermodynamics of a simple fluctuating magnetic system,” Phys. Rev. A
1981
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C. Hsiung,
1981
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G. Ruppeiner, “New thermodynamic fluctuation theory using path integrals,” Phys. Rev. A
1983
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G. Ruppeiner, “Thermodynamic critical fluctuation theory?,” Phys. Rev. Lett
1983
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B. Andresen, P. Salamon, and R. S. Berry, “Thermodynamics in finite time,” Phys. Today
1984
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H. B. Callen,
1985
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L. Diósi and B. Lukács, “Covariant evolution equation for the thermodynamic fluctuations,” Phys. Rev. A
1985
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B. Andresen, R. S. Berry, R. Gilmore, E. Ihrig, and P. Salamon, “Thermodynamic geometry and the metrics of Weinhold and Gilmore,” Phys. Rev. A
1988
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H. Janyszek and R. Mrugała, “Riemannian geometry and the thermodynamics of model magnetic systems,” Phys. Rev. A
1989
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B. P. Dolan, D. A. Johnston, and R. Kenna, “The information geometry of the one-dimensional Potts model,” J. Phys. A: Math. Gen
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G. Ruppeiner and J. Chance, “Thermodynamic curvature of a one-dimensional fluid,” J. Chem. Phys
1990
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H. Janyszek and R. Mrugała, “Riemannian geometry and stability of ideal quantum gases,” J. Phys. A: Math. Gen
1990
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1990
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1991
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1995
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G. Ruppeiner, “Riemannian geometry in thermodynamic fluctuation theory,“ Rev. Mod. Phys
1996
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2002
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W. Janke, D. A. Johnston, and R. Kenna, “Information geometry of the spherical model,” Phys. Rev. E
2003
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D. C. Brody and A. Ritz, “Information geometry of finite Ising models,” J. Geom. Phys
2003
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J. E. Åman, J. Bedford, D. Grumiller, N. Pidokrajt, and J. Ward, “Ruppeiner theory of black hole thermodynamics,” J. Phys.: Conference Series
2007
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2008
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B. Mirza and H. Mohammadzadeh, “Nonperturbative thermodynamic geometry of anyon gas,” Phys. Rev. E
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