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Article Dans Une Revue Physical Review D Année : 2013

General relativistic statistical mechanics

Carlo Rovelli

Résumé

Understanding thermodynamics and statistical mechanics in the full general relativistic context is an open problem. I give tentative definitions of equilibrium state, mean values, mean geometry, entropy and temperature, which reduce to the conventional ones in the non-relativistic limit, but remain valid for a general covariant theory. The formalism extends to quantum theory. The construction builds on the idea of thermal time, on a notion of locality for this time, and on the distinction between global and local temperature. The last is the temperature measured by a local thermometer, and is given by kT = hbar d tau/ds, with k the Boltzmann constant, hbar the Planck constant, ds proper time and d tau the equilibrium thermal time.
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hal-00845526 , version 1 (05-09-2023)

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Carlo Rovelli. General relativistic statistical mechanics. Physical Review D, 2013, 87 (8), pp.084055. ⟨10.1103/PhysRevD.87.084055⟩. ⟨hal-00845526⟩
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