Anomalous law of cooling

The Journal of Chemical Physics
Luciano C LapasFernando A Oliveira

Abstract

We analyze the temperature relaxation phenomena of systems in contact with a thermal reservoir that undergoes a non-Markovian diffusion process. From a generalized Langevin equation, we show that the temperature is governed by a law of cooling of the Newton's law type in which the relaxation time depends on the velocity autocorrelation and is then characterized by the memory function. The analysis of the temperature decay reveals the existence of an anomalous cooling in which the temperature may oscillate. Despite this anomalous behavior, we show that the variation of entropy remains always positive in accordance with the second law of thermodynamics.

References

Dec 30, 1991·Physical Review Letters·J P BouchaudJ S Yedidia
Sep 29, 1999·Proceedings of the National Academy of Sciences of the United States of America·R MetzlerJ Jortner
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B A MelloF A Oliveira
May 1, 2001·Physical Review Letters·S ZapperiJ S Andrade
Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F Colaiori, M A Moore
Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Peyrard
Sep 20, 2001·Proceedings of the National Academy of Sciences of the United States of America·J M Vilar, J M Rubi
Sep 13, 2002·Physical Review Letters·Rafael MorgadoAlex Hansen
Aug 9, 2003·Physical Review Letters·Sergey Savel'evFranco Nori
Oct 4, 2003·Physical Review Letters·Jing-Dong Bao, Yi-Zhong Zhuo
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Renat M YulmetyevPeter Hänggi
Jul 23, 2004·The Journal of Chemical Physics·I Santamaría-HolekJ M Rubí
Sep 28, 2004·Physical Review Letters·Renaud ToussaintEirik G Flekkøy
Jun 25, 2005·The Journal of Chemical Physics·A Pérez-Madrid
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Cristiano L DiasMartin Grant
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jing-Dong BaoPeter Hänggi
Aug 7, 2007·Physical Review Letters·M Howard Lee
Mar 21, 2008·Physical Review Letters·S Burov, E Barkai
May 30, 2008·Proceedings of the National Academy of Sciences of the United States of America·M FilocheB Sapoval
Dec 31, 2008·Physical Review Letters·Luciano C LapasFernando A Oliveira
Jul 14, 2010·Proceedings of the National Academy of Sciences of the United States of America·S BurovE Barkai
Sep 28, 2010·Physical Review Letters·P SiegleP Hänggi
Mar 1, 2012·The Journal of Chemical Physics·Jose M G Vilar, J Miguel Rubi
Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jae-Hyung Jeon, Ralf Metzler
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R M S FerreiraF A Oliveira
Jan 17, 2013·The Journal of Chemical Physics·A Fuliński
Nov 12, 2013·Physical Review Letters·Philippe Ben-AbdallahCarsten Henkel
Feb 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jochen KursaweRalf Metzler
Jun 27, 2014·Physical Chemistry Chemical Physics : PCCP·Jae-Hyung JeonRalf Metzler

❮ 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.