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.
- Research Organization:
- Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- FG03-84ER-40168; FG03-84ER40168
- OSTI ID:
- 1419592
- Alternate ID(s):
- OSTI ID: 1258578
- Journal Information:
- Entropy, Journal Name: Entropy Vol. 18 Journal Issue: 12; ISSN 1099-4300
- Publisher:
- MDPI AGCopyright Statement
- Country of Publication:
- Switzerland
- Language:
- English
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