Relations between heat exchange and Rényi divergences

Physical Review. E
Bo-Bo Wei

Abstract

In this work, we establish an exact relation which connects the heat exchange between two systems initialized in their thermodynamic equilibrium states at different temperatures and the Rényi divergences between the initial thermodynamic equilibrium state and the final nonequilibrium state of the total system. The relation tells us that the various moments of the heat statistics are determined by the Renyi divergences between the initial equilibrium state and the final nonequilibrium state of the global system. In particular the average heat exchange is quantified by the relative entropy between the initial equilibrium state and the final nonequilibrium state of the global system. The relation is applicable to both finite classical systems and finite quantum systems.

References

Mar 29, 2001·Proceedings of the National Academy of Sciences of the United States of America·G Hummer, A Szabo
Jul 13, 2004·Physical Review Letters·Christopher Jarzynski, Daniel K Wójcik
Apr 12, 2006·Physical Review Letters·V BlickleC Bechinger
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Peter TalknerPeter Hänggi
Dec 12, 2012·Physical Review Letters·Bo-Bo Wei, Ren-Bao Liu
Jun 7, 2014·Scientific Reports·Bo-Bo WeiRen-Bao Liu
Sep 13, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·John GooldKavan Modi
Jan 24, 2015·Physical Review Letters·Xinhua PengRen-Bao Liu
Oct 20, 2015·Scientific Reports·Bo-Bo WeiRen-Bao Liu
Nov 5, 2016·Reports on Progress in Physics·Wen YangRen-Bao Liu

❮ Previous
Next ❯

Citations


❮ 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 A: General Physics
B L Holian
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Yoshiko Ogata
© 2022 Meta ULC. All rights reserved