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Title: Exact model of the power-to-efficiency trade-off while approaching the Carnot limit

Abstract

The Carnot heat engine sets an upper bound on the efficiency of a heat engine. As an ideal, reversible engine, a single cycle must be performed in infinite time, and so the Carnot engine has zero power. However, there is nothing, in principle, forbidding the existence of a heat engine whose efficiency approaches that of Carnot while maintaining finite power. Such an engine must have very special properties, some of which have been discussed in the literature, in various limits. While recent theorems rule out a large class of engines from maintaining finite power at exactly the Carnot efficiency, the approach to the limit still merits close study. Presented here is an exactly solvable model of such an approach that may serve as a laboratory for exploration of the underlying mechanisms. The equations of state have their origins in the extended thermodynamics of electrically charged black holes.

Authors:
Publication Date:
Research Org.:
Univ. of Southern California, Los Angeles, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1459247
Alternate Identifier(s):
OSTI ID: 1498906
Grant/Contract Number:  
[FG03-84ER40168]
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
[Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 2]; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Johnson, Clifford V. Exact model of the power-to-efficiency trade-off while approaching the Carnot limit. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.026008.
Johnson, Clifford V. Exact model of the power-to-efficiency trade-off while approaching the Carnot limit. United States. doi:10.1103/PhysRevD.98.026008.
Johnson, Clifford V. Fri . "Exact model of the power-to-efficiency trade-off while approaching the Carnot limit". United States. doi:10.1103/PhysRevD.98.026008.
@article{osti_1459247,
title = {Exact model of the power-to-efficiency trade-off while approaching the Carnot limit},
author = {Johnson, Clifford V.},
abstractNote = {The Carnot heat engine sets an upper bound on the efficiency of a heat engine. As an ideal, reversible engine, a single cycle must be performed in infinite time, and so the Carnot engine has zero power. However, there is nothing, in principle, forbidding the existence of a heat engine whose efficiency approaches that of Carnot while maintaining finite power. Such an engine must have very special properties, some of which have been discussed in the literature, in various limits. While recent theorems rule out a large class of engines from maintaining finite power at exactly the Carnot efficiency, the approach to the limit still merits close study. Presented here is an exactly solvable model of such an approach that may serve as a laboratory for exploration of the underlying mechanisms. The equations of state have their origins in the extended thermodynamics of electrically charged black holes.},
doi = {10.1103/PhysRevD.98.026008},
journal = {Physical Review D},
number = [2],
volume = [98],
place = {United States},
year = {2018},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.98.026008

Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1. FIG. 1. : Main: Sample isotherms for $q$ = 4. The temperature is higher for the curves further away from the origin. The central (blue) isotherm is at the critical temperature, and the (blue) cross marks the critical point. The isotherms at lower temperatures get modified, as discussed in themore » main text, but this is not shown here. The dotted green rectangle is an example of the special engine cycle discussed in the text (with $L$ = 1). The dashed curve is the $T$ = 0 isotherm. Inset: The labeling of the engine cycle.« less

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    Figures / Tables found in this record:

      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.