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]}
 Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
 Publication Date:
 Grant/Contract Number:
 FG0384ER40168; FG0384ER40168
 Type:
 Published Article
 Journal Name:
 Entropy
 Additional Journal Information:
 Journal Volume: 18; Journal Issue: 4; Journal ID: ISSN 10994300
 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
 OSTI Identifier:
 1419592
 Alternate Identifier(s):
 OSTI ID: 1258578
Johnson, Clifford. An Exact Efficiency Formula for Holographic Heat Engines. United States: N. p.,
Web. doi:10.3390/e18040120.
Johnson, Clifford. An Exact Efficiency Formula for Holographic Heat Engines. United States. doi:10.3390/e18040120.
Johnson, Clifford. 2016.
"An Exact Efficiency Formula for Holographic Heat Engines". United States.
doi:10.3390/e18040120.
@article{osti_1419592,
title = {An Exact Efficiency Formula for Holographic Heat Engines},
author = {Johnson, Clifford},
abstractNote = {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.},
doi = {10.3390/e18040120},
journal = {Entropy},
number = 4,
volume = 18,
place = {United States},
year = {2016},
month = {3}
}