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2021-05-31Zeitschriftenartikel DOI: 10.3390/e23060696
Medium Entropy Reduction and Instability in Stochastic Systems with Distributed Delay
dc.contributor.authorLoos, Sarah A. M.
dc.contributor.authorHermann, Simon
dc.contributor.authorKlapp, Sabine H. L.
dc.date.accessioned2021-08-12T12:01:07Z
dc.date.available2021-08-12T12:01:07Z
dc.date.issued2021-05-31none
dc.date.updated2021-06-11T17:25:37Z
dc.identifier.urihttp://edoc.hu-berlin.de/18452/23842
dc.description.abstractMany natural and artificial systems are subject to some sort of delay, which can be in the form of a single discrete delay or distributed over a range of times. Here, we discuss the impact of this distribution on (thermo-)dynamical properties of time-delayed stochastic systems. To this end, we study a simple classical model with white and colored noise, and focus on the class of Gamma-distributed delays which includes a variety of distinct delay distributions typical for feedback experiments and biological systems. A physical application is a colloid subject to time-delayed feedback control, which is, in principle, experimentally realizable by co-moving optical traps. We uncover several unexpected phenomena in regard to the system’s linear stability and its thermodynamic properties. First, increasing the mean delay time can destabilize or stabilize the process, depending on the distribution of the delay. Second, for all considered distributions, the heat dissipated by the controlled system (e.g., the colloidal particle) can become negative, which implies that the delay force extracts energy and entropy of the bath. As we show here, this refrigerating effect is particularly pronounced for exponential delay. For a specific non-reciprocal realization of a control device, we find that the entropic costs, measured by the total entropy production of the system plus controller, are the lowest for exponential delay. The exponential delay further yields the largest stable parameter regions. In this sense, exponential delay represents the most effective and robust type of delayed feedback.eng
dc.description.sponsorshipDeutsche Forschungsgemeinschaft
dc.language.isoengnone
dc.publisherHumboldt-Universität zu Berlin
dc.rights(CC BY 4.0) Attribution 4.0 Internationalger
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectnon-Markovian dynamicseng
dc.subjectstochastic thermodynamicseng
dc.subjecttime-delayed feedback controleng
dc.subjectstochastic delay differential equationseng
dc.subjectfeedback coolingeng
dc.subjectnon-reciprocal interactionseng
dc.subject.ddc510 Mathematiknone
dc.titleMedium Entropy Reduction and Instability in Stochastic Systems with Distributed Delaynone
dc.typearticle
dc.identifier.urnurn:nbn:de:kobv:11-110-18452/23842-6
dc.identifier.doi10.3390/e23060696none
dc.identifier.doihttp://dx.doi.org/10.18452/23226
dc.type.versionpublishedVersionnone
local.edoc.container-titleEntropy : an international and interdisciplinary journal of entropy and information studiesnone
local.edoc.pages25none
local.edoc.type-nameZeitschriftenartikel
local.edoc.institutionMathematisch-Naturwissenschaftliche Fakultätnone
local.edoc.container-publisher-nameMDPInone
local.edoc.container-volume23none
local.edoc.container-issue6none
dc.description.versionPeer Reviewednone
local.edoc.container-articlenumber696none
dc.identifier.eissn1099-4300
local.edoc.affiliationLoos, Sarah A. M.; Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany; ICTP—The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151 Trieste, Italy; Institut für Theoretische Physik, Universität Leipzig, Brüderstraße 15, 04103 Leipzig, Germanynone
local.edoc.affiliationHermann, Simon; Institut für Physik, Humboldt-Universität zu Berlin, Newtonstr. 15, 12489 Berlin, Germanynone
local.edoc.affiliationKlapp, Sabine H. L.; Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germanynone

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