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I give a relatively broad survey of thermodynamic curvature $R$, one spanning results in fluids and solids, spin systems, and black hole thermodynamics.
A. Einstein: On the general molecular theory of heat. Ann. Phys. (Leipzig) 14
1910
Earlier work this paper cites.
G. N. Lewis: Generalized thermodynamics including the theory of fluctuations. J. Am. Chem. Soc. 53
1931
Earlier work this paper cites.
D. Laugwitz: Differential and Riemannian Geometry
1965
Earlier work this paper cites.
S. Weinberg: Gravitation and Cosmology
1972
Earlier work this paper cites.
C. W. Misner, K. S. Thorne, J. A. Wheeler, Gravitation
1973
Earlier work this paper cites.
L. Smarr: Mass Formula for Kerr Black Holes. Phys. Rev. Lett. 30
1973
Earlier work this paper cites.
J Bekenstein: Generalized second law of thermodynamics in black-hole physics. Phys. Rev. D 9
1974
Earlier work this paper cites.
F. Weinhold: Thermodynamics and geometry. Physics Today 29
1976
Earlier work this paper cites.
S Hawking: Black holes and thermodynamics. Phys. Rev. D 13
1976
Earlier work this paper cites.
L. Landau, E. Lifshitz: Statistical Physics
1977
Earlier work this paper cites.
P. Davies: The thermodynamic theory of black holes. Proc. R. Soc. Lond. A 353
1977
Earlier work this paper cites.
G. Ruppeiner: Thermodynamics: A Riemannian geometric model. Phys. Rev. A 20
1979
Earlier work this paper cites.
J. D. Bekenstein: Black-hole thermodynamics. Physics Today 33
1980
Earlier work this paper cites.
P. T. Landsberg, D. Tranah: Thermodynamics of non-extensive entropies. I. Collective Phenomena 3
1980
Earlier work this paper cites.
D. Tranah, P. T. Landsberg: Thermodynamics of non-extensive entropies. II. Collective Phenomena 3
1980
Earlier work this paper cites.
G. Ruppeiner: Application of Riemannian geometry to the thermodynamics of a simple fluctuating magnetic system. Phys. Rev. A 24
1981
Earlier work this paper cites.
G. Ruppeiner: New thermodynamic fluctuation theory using path integrals. Phys. Rev. A 27
1983
Earlier work this paper cites.
G. Ruppeiner: Thermodynamic Critical Fluctuation Theory? Phys. Rev. Lett. 50
1983
Earlier work this paper cites.
D. Pav o ´ \acute{\mbox{o}} n and J. M. Rub i ´ \acute{\mbox{i}} : Thermodynamical fluctuations of a massive Schwarzschild black hole: Phys. Lett. 99A
1983
Earlier work this paper cites.
B. Andresen, P. Salamon, R.S. Berry: Thermodynamics in finite time. Physics Today 37
1984
Earlier work this paper cites.
P. Salamon, J. D. Nulton, E. Ihrig: On the relation between entropy and energy versions of thermodynamic length. J. Chem. Phys. 80
1984
Earlier work this paper cites.
L. Di o ´ \acute{\mbox{o}} si and B. Luk a ´ \acute{\mbox{a}} cs: Covariant evolution equation for the thermodynamic fluctuations. Phys. Rev. A 31
1985
Earlier work this paper cites.
J. Nulton, P. Salamon: Geometry of the ideal gas. Phys. Rev. A 31
1985
Earlier work this paper cites.
D. Pav o ´ \acute{\mbox{o}} n and J. M. Rub i ´ \acute{\mbox{i}} : Kerr Black Hole Thermodynamical Fluctuations. Gen. Relativ. Gravit. 17
1985
Earlier work this paper cites.
K. S. Thorne, R. H. Price, D. A. Macdonald, Black Holes: The Membrane Paradigm
1986
Earlier work this paper cites.
H. Janyszek, R. Mrugała: Riemannian geometry and the thermodynamics of model magnetic systems. Phys. Rev. A 39
1989
Earlier work this paper cites.
H. Janyszek, R. Mrugała: Riemannian geometry and stability of ideal quantum gases. J. Phys. A: Math. Gen. 23
1990
Cited alongside, same era.
G. Ruppeiner, J. Chance: Thermodynamic curvature of a one-dimensional fluid. J. Chem. Phys. 92
1990
Cited alongside, same era.
G. Ruppeiner, C. Davis: Thermodynamic curvature of the multicomponent ideal gas. Phys. Rev. A 41
1990
Cited alongside, same era.
D. Brody, N. Rivier: Geometrical aspects of statistical mechanics. Phys. Rev. E 51
1995
Cited alongside, same era.
R. K. Pathria: Statistical Mechanics
1996
Cited alongside, same era.
G. Ruppeiner: Riemannian geometry in thermodynamic fluctuation theory. Rev. Mod. Phys
1996
Cited alongside, same era.
B. Mirza, M. Zamaninasab: Ruppeiner geometry of RN black holes: flat or curved? JHEP 1006
2007
Later among the works it cites.
J. Shen, R.-G. Cai, B. Wang, and R.-K. Su: Thermodynamic geometry and critical behavior of black holes. Int. J. Mod. Phys. A 22
2007
Later among the works it cites.
G. Ruppeiner: Thermodynamic curvature and phase transitions in Kerr-Newman black holes. Phys. Rev. D 78
2008
Later among the works it cites.
H. Quevedo: Geometrothermodynamics of black holes. Gen. Relativ. Gravit. 40
2008
Later among the works it cites.
A Medved: A commentary on Ruppeiner metrics for black holes. Mod. Phys. Lett. A 23
2008
Later among the works it cites.
D. C. Brody, D. W. Hook: Information geometry in vapour-liquid equilibrium. J. Phys. A: Math. Theor. 42
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A. Strominger, C. Vafa: Microscopic origin of the Bekenstein-Hawking entropy. Phys. Lett. B 379
1996
Cited alongside, same era.
S. Ferrara, G. Gibbons, R. Kallosh: Black holes and critical points in moduli space. Nuc. Phys. B 500
1997
Cited alongside, same era.
B. P. Dolan: Geometry and thermodynamic fluctuations of the Ising model on a Bethe lattice. Proc. R. Soc. Lond. A 454
1998
Cited alongside, same era.
H. Oshima, T. Obata, H. Hara: Riemann scalar curvature of ideal quantum gases obeying Gentile’s statistics. J. Phys. A 32
1999
Cited alongside, same era.
K. Kaviani, A. Dalafi-Rezaie: Pauli paramagnetic gas in the framework of Riemannian geometry. Phys. Rev. E 60
1999
Cited alongside, same era.
R. G. Cai, J. H. Cho: Thermodynamic curvature of the BTZ black hole. Phys. Rev. D 60
1999
Cited alongside, same era.
2009
Later among the works it cites.
B. Mirza, H. Mohammadzadeh: Nonperturbative thermodynamic geometry of anyon gas. Phys. Rev. E 80
2009
Later among the works it cites.
G. Ruppeiner: Thermodynamic curvature measures interactions. Am. J. Phys. 78
2010
Later among the works it cites.
S. Bellucci, B. N. Tiwari: State-space correlations and stabilities. Phys. Rev. D 82
2010
Later among the works it cites.
A. Sahay, T. Sarkar, G. Sengupta: On the thermodynamic geometry and critical phenomena of AdS black holes. JHEP 1007
2010
Later among the works it cites.
B. Mirza, H. Mohammadzadeh: Thermodynamic geometry of deformed bosons and fermions. J. Phys. A: Math. Gen. 44
2011
Later among the works it cites.
R. Banerjee, S. K. Modak, S. Samanta: Second order phase transition and thermodynamic geometry in Kerr-AdS black holes. Phys. Rev. D 84
2011
Later among the works it cites.
R. Banerjee, S. Ghosh, D. Roychowdhury: New type of phase transition in Reissner-Nordstr o ¨ \ddot{\mbox{o}} m-AdS black hole and its thermodynamic geometry. Physics Letters B 696
2011
Later among the works it cites.
G Ruppeiner: Thermodynamic curvature from the critical point to the triple point. Phys. Rev. E 86
2012
Later among the works it cites.
2012
Later among the works it cites.
H-O May, P. Mausbach: Riemannian geometry study of vapor-liquid phase equilibria and supercritical behavior of the Lennard-Jones fluid. Phys. Rev. E 85
2012
Later among the works it cites.
S. Bellucci, B.N. Tiwari: Thermodynamic Geometry and Topological Einstein-Yang-Mills Black Holes. Entropy 14
2012
Later among the works it cites.
C. Niu, Y. Tian, X.-N. Wu: Critical phenomena and thermodynamic geometry of Reissner-Nordstr o ¨ \ddot{\mbox{o}} m-anti-de Sitter black holes. Phys. Rev. D 85
2012
Later among the works it cites.
Y.-D. Tsai, X.-N. Wu, Y. Yang: Phase structure of the Kerr-AdS black hole. Phys. Rev. D 85
2012
Later among the works it cites.
R. Banerjee, S. Modak, D. Roychowdhury: A unified picture of phase transition: from liquid-vapour systems to AdS black holes. JHEP 1210
2012
Later among the works it cites.
G. Ruppeiner: Thermodynamic curvature: pure fluids to black holes. J. Phys.: Conf. Series 410
2013
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M. R. Ubriaco: Stability and anyonic behavior of systems with M-statistics. Physica A 392
2013
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H-O May, P. Mausbach, G. Ruppeiner: Thermodynamic curvature for attractive and repulsive intermolecular forces. Phys. Rev. E 88
2013
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B. Mirza, Z. Talaei: Thermodynamic geometry of a kagome Ising model in a magnetic field. Phys. Lett. A 377
2013
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S.-W. Wei, Y.-X. Liu: Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes. Phys. Rev. D 87
2013
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