Entropic bounds on currents in Langevin systems

Physical Review. E
Andreas Dechant, Shin-Ichi Sasa

Abstract

We derive a bound on generalized currents for Langevin systems in terms of the total entropy production in the system and its environment. For overdamped dynamics, any generalized current is bounded by the total rate of entropy production. We show that this entropic bound on the magnitude of generalized currents imposes power-efficiency tradeoff relations for ratchets in contact with a heat bath: Maximum efficiency-Carnot efficiency for a Smoluchowski-Feynman ratchet and unity for a flashing or rocking ratchet-can only be reached at vanishing power output. For underdamped dynamics, while there may be reversible currents that are not bounded by the entropy production rate, we show that the output power and heat absorption rate are irreversible currents and thus obey the same bound. As a consequence, a power-efficiency tradeoff relation holds not only for underdamped ratchets but also for periodically driven heat engines. For weak driving, the bound results in additional constraints on the Onsager matrix beyond those imposed by the second law. Finally, we discuss the connection between heat and entropy in a nonthermal situation where the friction and noise intensity are state dependent.

References

Sep 6, 1993·Physical Review Letters·M O Magnasco
Mar 14, 1994·Physical Review Letters·R D Astumian, M Bier
Dec 2, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·T Hondou, K Sekimoto
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kumiko Hayashi, Shin-ichi Sasa
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Richard E Spinney, Ian J Ford
Nov 22, 2012·Reports on Progress in Physics·Udo Seifert
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A SarracinoA Puglisi
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Sarracino
May 2, 2015·Physical Review Letters·Andre C Barato, Udo Seifert
May 23, 2015·Physical Review Letters·Andreas DechantEric Lutz
Apr 9, 2016·Physical Review Letters·Todd R GingrichJeremy L England
Jun 23, 2016·Nature Physics·I A MartínezR A Rica
Nov 20, 2016·Physical Review Letters·Naoto ShiraishiHal Tasaki
Sep 28, 2017·Physical Review. E·Jordan M Horowitz, Todd R Gingrich
Oct 21, 2017·Physical Review Letters·Simone PigolottiFrank Jülicher
Oct 27, 2017·Proceedings of the National Academy of Sciences of the United States of America·Momčilo GavrilovJohn Bechhoefer
Jan 20, 2018·Physical Review. E·Patrick PietzonkaUdo Seifert
Mar 20, 2018·Physical Review. E·Dominic AroldEric Lutz

❮ Previous
Next ❯

Citations

Feb 20, 2019·Physical Review. E·Hyun-Myung Chun, Jae Dong Noh
Oct 6, 2020·Physical Review Letters·Gianmaria Falasco, Massimiliano Esposito
Oct 9, 2018·Physical Review Letters·Viktor Holubec, Artem Ryabov
Jul 22, 2020·Physical Review. E·Shun OtsuboTakahiro Sagawa
Oct 21, 2020·Physical Review. E·Jae Sung LeeHyunggyu Park
Jan 16, 2021·Physical Review Letters·Timur Koyuk, Udo Seifert
Nov 11, 2020·The Journal of Chemical Physics·Na'im KalantarDvira Segal
Apr 2, 2020·The Journal of Physical Chemistry Letters·Yonghyun Song, Changbong Hyeon
Apr 10, 2021·The Journal of Chemical Physics·Yonghyun Song, Changbong Hyeon
May 20, 2021·Physical Review. E·Gianmaria Falasco, Massimiliano 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 Letters
Karel ProesmansChristian Van den Broeck
Physical Review Letters
Karel Proesmans, Christian Van den Broeck
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Debasis DanA M Jayannavar
© 2022 Meta ULC. All rights reserved