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 holes — Alessandro Bravetti1, •Christine Gruber2,4, Cesar Lopez-Monsalvo3, and Francisco Nettel2 — 1IIMAS, 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.