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Entropy 2016, 18(4), 120; doi:10.3390/e18040120

An Exact Efficiency Formula for Holographic Heat Engines

Department of Physics and Astronomy, University of Southern California, Los Angeles, CA 90089-0484, USA
Academic Editor: David Kubiznak
Received: 10 February 2016 / Revised: 22 March 2016 / Accepted: 28 March 2016 / Published: 31 March 2016
(This article belongs to the Special Issue Black Hole Thermodynamics II)
View Full-Text   |   Download PDF [820 KB, uploaded 31 March 2016]   |  

Abstract

Further consideration is given to the efficiency of a class of black hole heat engines that perform mechanical work via the pdV terms present in the First Law of extended gravitational thermodynamics. It is noted that, when the engine cycle is a rectangle with sides parallel to the (p,V) axes, the efficiency can be written simply in terms of the mass of the black hole evaluated at the corners. Since an arbitrary cycle can be approximated to any desired accuracy by a tiling of rectangles, a general geometrical algorithm for computing the efficiency of such a cycle follows. A simple generalization of the algorithm renders it applicable to broader classes of heat engine, even beyond the black hole context. View Full-Text
Keywords: black holes; thermodynamics; heat engines black holes; thermodynamics; heat engines
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Johnson, C.V. An Exact Efficiency Formula for Holographic Heat Engines. Entropy 2016, 18, 120.

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