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Würzburg 2018 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 11: Black Holes

GR 11.5: Talk

Thursday, March 22, 2018, 15:20–15:40, NW-Bau - HS3

The zeroth law in quasi-homogeneous thermodynamics and black holesAlessandro Bravetti1, •Christine Gruber2,4, Cesar Lopez-Monsalvo3, and Francisco Nettel21IIMAS, UNAM, Mexico City, Mexico — 2ICN, UNAM, Mexico City, Mexico — 3UAM, Mexico City, Mexico — 4University of Oldenburg, Germany

Motivated by black holes thermodynamics, we consider the zeroth law of thermodynamics for systems whose entropy is a quasi-homogeneous function of the extensive variables. We show that the generalized Gibbs-Duhem identity and the Maxwell construction for phase coexistence based on the standard zeroth law are incompatible in this case. We argue that the generalized Gibbs-Duhem identity suggests a revision of the zeroth law which in turns permits to reconsider Maxwell's construction in analogy with the standard case. The physical feasibility of our proposal is considered in the particular case of black holes.

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