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Title: An Exact Efficiency Formula for Holographic Heat Engines

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. Finally, a simple generalization of the algorithm renders it applicable to broader classes of heat engine, even beyond the black hole context.
Authors:
 [1]
  1. Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
Publication Date:
OSTI Identifier:
1258578
Grant/Contract Number:
FG03-84ER40168
Type:
Accepted Manuscript
Journal Name:
Entropy
Additional Journal Information:
Journal Volume: 18; Journal Issue: 4; Journal ID: ISSN 1099-4300
Publisher:
MDPI
Research Org:
Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS black holes; thermodynamics; heat engines