Title: An Exact Efficiency Formula for Holographic Heat Engines

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. Finally, a simple generalization of the algorithm renders it applicable to broader classes of heat engine, even beyond the black hole context.

Authors:

Johnson, Clifford

Publication Date:

Thu Mar 31 00:00:00 EDT 2016

Research Org.:

Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy

Sponsoring Org.:

USDOE

OSTI Identifier:

1419592

Alternate Identifier(s):

OSTI ID: 1258578

Grant/Contract Number:  

FG03-84ER-40168; FG03-84ER40168

Resource Type:

Published Article

Journal Name:

Entropy

Additional Journal Information:

Journal Name: Entropy Journal Volume: 18 Journal Issue: 12; Journal ID: ISSN 1099-4300

Publisher:

MDPI AG

Country of Publication:

Switzerland

Language:

English

Subject:

79 ASTRONOMY AND ASTROPHYSICS; black holes; thermodynamics; heat engines