Phys. Rev. D 64, 064019 (2001) [6 pages]Proof of the generalized second law for two-dimensional black holesReceived 26 March 2001; revised 26 April 2001; published 28 August 2001 We investigate the generalized second law for two-dimensional black holes in equilibrium (Hartle-Hawking) and nonequilibrium (Unruh) with the heat bath surrounding the black holes. We obtain a simple expression for the change of total entropy in terms of covariant thermodynamic variables, which is valid not only for the Hartle-Hawking state but also for the Unruh state up to leading order, without assuming a quasistationary evolution of the black holes. Using this expression, it is shown that the rate of local entropy production is non-negative in two-dimensional black hole systems. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.64.064019
DOI:
10.1103/PhysRevD.64.064019
PACS:
04.70.Dy, 04.60.Kz
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