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GR: Fachverband Gravitation und Relativitätstheorie

GR 11: Black Holes

GR 11.5: Vortrag

Donnerstag, 22. März 2018, 15:20–15:40, NW-Bau - HS3

The zeroth law in quasi-homogeneous thermodynamics and black holes — Alessandro Bravetti¹, •Christine Gruber^2,4, 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.