On work and heat in time-dependent strong coupling

 |  Login

Show simple item record

dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Aurell, Erik
dc.date.accessioned 2018-02-09T10:08:48Z
dc.date.available 2018-02-09T10:08:48Z
dc.date.issued 2017-11-01
dc.identifier.citation Aurell , E 2017 , ' On work and heat in time-dependent strong coupling ' Entropy , vol 19 , no. 11 , 595 , pp. 1-17 . DOI: 10.3390/e19110595 en
dc.identifier.issn 1099-4300
dc.identifier.other PURE UUID: fe4ab82a-21ae-40f8-a193-c73fc34656b2
dc.identifier.other PURE ITEMURL: https://research.aalto.fi/en/publications/on-work-and-heat-in-timedependent-strong-coupling(fe4ab82a-21ae-40f8-a193-c73fc34656b2).html
dc.identifier.other PURE LINK: http://www.scopus.com/inward/record.url?scp=85034232309&partnerID=8YFLogxK
dc.identifier.other PURE FILEURL: https://research.aalto.fi/files/16605579/entropy_19_00595_v3.pdf
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/30042
dc.description.abstract This paper revisits the classical problem of representing a thermal bath interacting with a system as a large collection of harmonic oscillators initially in thermal equilibrium. As is well known, the system then obeys an equation, which in the bulk and in the suitable limit tends to the Kramers-Langevin equation of physical kinetics. I consider time-dependent system-bath coupling and show that this leads to an additional harmonic force acting on the system. When the coupling is switched on and switched off rapidly, the force has delta-function support at the initial and final time. I further show that the work and heat functionals as recently defined in stochastic thermodynamics at strong coupling contain additional terms depending on the time derivative of the system-bath coupling. I discuss these terms and show that while they can be very large if the system-bath coupling changes quickly, they only give a finite contribution to the work that enters in Jarzynski's equality. I also discuss that these corrections to standard work and heat functionals provide an explanation for non-standard terms in the change of the von Neumann entropy of a quantum bath interacting with a quantum system found in an earlier contribution (Aurell and Eichhorn, 2015). en
dc.format.extent 1-17
dc.format.mimetype application/pdf
dc.language.iso en en
dc.relation.ispartofseries Entropy en
dc.relation.ispartofseries Volume 19, issue 11 en
dc.rights openAccess en
dc.subject.other Physics and Astronomy(all) en
dc.subject.other 114 Physical sciences en
dc.title On work and heat in time-dependent strong coupling en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.contributor.department Department of Applied Physics
dc.contributor.department Department of Computer Science
dc.contributor.department Centre of Excellence in Computational Inference, COIN
dc.contributor.department Professorship Kaski S.
dc.contributor.department Complex Systems and Materials
dc.contributor.department Department of Computer Science en
dc.contributor.department Department of Applied Physics en
dc.subject.keyword Quantum-classical correspondence for heat
dc.subject.keyword Stochastic thermodynamics
dc.subject.keyword Strong coupling
dc.subject.keyword Zwanzig model
dc.subject.keyword Physics and Astronomy(all)
dc.subject.keyword 114 Physical sciences
dc.identifier.urn URN:NBN:fi:aalto-201802091539
dc.identifier.doi 10.3390/e19110595
dc.type.version publishedVersion


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

Search archive


Advanced Search

article-iconSubmit a publication

Browse

My Account