Constitutive relation for nonlinear response and universality of efficiency at maximum power for tight-coupling heat engines

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Shiqi Sheng, Z C Tu

Abstract

We present a unified perspective on nonequilibrium heat engines by generalizing nonlinear irreversible thermodynamics. For tight-coupling heat engines, a generic constitutive relation for nonlinear response accurate up to the quadratic order is derived from the stalling condition and the symmetry argument. By applying this generic nonlinear constitutive relation to finite-time thermodynamics, we obtain the necessary and sufficient condition for the universality of efficiency at maximum power, which states that a tight-coupling heat engine takes the universal efficiency at maximum power up to the quadratic order if and only if either the engine symmetrically interacts with two heat reservoirs or the elementary thermal energy flowing through the engine matches the characteristic energy of the engine. Hence we solve the following paradox: On the one hand, the quadratic term in the universal efficiency at maximum power for tight-coupling heat engines turned out to be a consequence of symmetry [Esposito, Lindenberg, and Van den Broeck, Phys. Rev. Lett. 102, 130602 (2009); Sheng and Tu, Phys. Rev. E 89, 012129 (2014)]; On the other hand, typical heat engines such as the Curzon-Ahlborn endoreversible heat engine [Curzon and Ahlborn, A...Continue Reading

References

Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·C Jarzynski, O Mazonka
Dec 31, 2005·Physical Review Letters·C Van den Broeck
Nov 30, 2006·Angewandte Chemie·Euan R KayFrancesco Zerbetto
May 16, 2007·Physical Review Letters·B Jiménez de Cisneros, A Calvo Hernández
Jul 26, 2008·Nature Nanotechnology·Xiaojing GongHaiping Fang
Apr 28, 2009·Physical Review Letters·Massimiliano EspositoChristian Van den Broeck
Oct 2, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yuki Izumida, Koji Okuda
May 21, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Massimiliano EspositoChristian Van den Broeck
Sep 28, 2010·Physical Review Letters·B GaveauL S Schulman
Jan 15, 2011·Physical Review Letters·Massimiliano EspositoChristian Van den Broeck
Sep 26, 2012·Physical Review Letters·Christian Van den BroeckKatja Lindenberg
Nov 22, 2012·Reports on Progress in Physics·Udo Seifert
Dec 12, 2012·Physical Review Letters·N Golubeva, A Imparato
Feb 14, 2013·The European Physical Journal. E, Soft Matter·Z C Tu
Feb 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Juncheng GuoJincan Chen
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rui WangYongli Ma
Oct 15, 2013·The Journal of Chemical Physics·Hans HooyberghsChristian Van den Broeck
Mar 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shiqi Sheng, Z C Tu
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H T Quan
Sep 16, 2014·Nature Communications·Gatien VerleyChristian Van den Broeck
Feb 24, 2015·Physical Review Letters·M PolettiniM Esposito

❮ Previous
Next ❯

Citations

Jul 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jianhui WangJizhou He
Jun 18, 2016·Physical Review Letters·Karel ProesmansChristian Van den Broeck
Sep 27, 2018·Physical Review. E·Yu-Han MaChang-Pu Sun
Apr 15, 2016·Physical Review. E·Yanchao ZhangJincan Chen
Sep 28, 2017·Physical Review. E·Y ApertetPh Lecoeur
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Viktor Holubec, Artem Ryabov
Jan 23, 2020·Physical Review. E·J Gonzalez-AyalaA Calvo Hernández
Mar 15, 2019·Entropy·Shiqi ShengMassimiliano Esposito

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Shiqi Sheng, Z C Tu
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
C de TomásJ M M Roco
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
B Jiménez de CisnerosA Calvo Hernández
Physical Review Letters
Massimiliano EspositoC Van den Broeck
© 2021 Meta ULC. All rights reserved