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On the physical significance of geometrothermodynamic metrics · Around

2017

On the physical significance of geometrothermodynamic metrics

Pineda, Viridiana, Quevedo, Hernando, Quevedo, Maria N. et al.

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In geometrothermodynamics (GTD), to study the geometric properties of the equilibrium space three thermodynamic metrics have been proposed so far.

These metrics are obtained by using the condition of Legendre invariance and can be computed explicitly once a thermodynamic potential is specified as the fundamental equation.
We use the remaining diffeomorphism invariance in the phase and equilibrium spaces to show that the components of the GTD-metrics can be interpreted as the second moment of the fluctuation of a new thermodynamic potential.
This result establishes a direct connection between GTD and fluctuation theory.

Built on

C. Misner, K. S. Thorne and J. A. Wheeler, Gravitation
1973
Earlier work this paper cites.
L. D. Landau and E. M. Lifzhitz, Statistical Physics
1977
Earlier work this paper cites.
V. I. Arnold, Mathematical Methods of Classical Mechanics
1980
Earlier work this paper cites.
H.B. Callen, Thermodynamics
1981
Earlier work this paper cites.
Y. Choquet-Bruhat, C. DeWitt-Morette, and M. Dillard-Bleick, Analysis, Manifolds and Physics
1982
Earlier work this paper cites.
S. Amari, Differential-Geometrical Methods in Statistics
1985
Earlier work this paper cites.
H. Quevedo, Gen. Rel. Grav. 24
1992
Earlier work this paper cites.

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