Cycle representatives for the coarse-graining of systems driven into a non-equilibrium steady state
- Publication type:
- Journal article
- Metadata:
-
- Autoren
- Fabian Knoch
- Thomas Speck
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000365892600002&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1088/1367-2630/17/11/115004
- Externe Identifier
- Clarivate Analytics Document Solution ID: CX7OV
- ISSN
- 1367-2630
- Zeitschrift
- NEW JOURNAL OF PHYSICS
- Schlüsselwörter
- non-equilibrium
- networks
- coarse-graining
- Artikelnummer
- ARTN 115004
- Datum der Veröffentlichung
- 2015
- Status
- Published
- Titel
- Cycle representatives for the coarse-graining of systems driven into a non-equilibrium steady state
- Sub types
- Article
- Ausgabe der Zeitschrift
- 17
Data source: Web of Science (Lite)
- Other metadata sources:
-
- Autoren
- Fabian Knoch
- Thomas Speck
- DOI
- 10.1088/1367-2630/17/11/115004
- eISSN
- 1367-2630
- Ausgabe der Veröffentlichung
- 11
- Zeitschrift
- New Journal of Physics
- Online publication date
- 2015
- Paginierung
- 115004 - 115004
- Status
- Published online
- Herausgeber
- IOP Publishing
- Herausgeber URL
- http://dx.doi.org/10.1088/1367-2630/17/11/115004
- Datum der Datenerfassung
- 2020
- Titel
- Cycle representatives for the coarse-graining of systems driven into a non-equilibrium steady state
- Ausgabe der Zeitschrift
- 17
Data source: Crossref
- Abstract
- A major current challenge poses the systematic construction of coarse-grained models that are dynamically consistent, and, moreover, might be used for systems driven out of thermal equilibrium. Here we present a novel prescription that extends the Markov state modelling approach to driven systems. The first step is to construct a complex network of microstates from detailed atomistic simulations with transition rates that break detailed balance. The coarse-graining is then carried out in the cycle space of this network. To this end we introduce the concept of representatives, which stand for many cycles with similar properties. We show how to find these cycle communities using well-developed standard algorithms. Removing all cycles except for the representatives defines the coarse-grained model, which is mapped back onto a network with far fewer states and renormalized transition rates that, however, preserve the entropy production of the original network. Our approach is illustrated and validated for a single driven particle.
- Autoren
- Fabian Knoch
- Thomas Speck
- Autoren-URL
- http://arxiv.org/abs/1507.04247v1
- Zeitschrift
- New J. Phys.
- Schlüsselwörter
- cond-mat.stat-mech
- cond-mat.stat-mech
- Paginierung
- 115004
- Datum der Veröffentlichung
- 2015
- Herausgeber URL
- http://dx.doi.org/10.1088/1367-2630/17/11/115004
- Datum der Datenerfassung
- 2015
- Datum, an dem der Datensatz öffentlich gemacht wurde
- 2015
- Titel
- Cycle representatives for the coarse-graining of systems driven into a non-equilibrium steady state
- Ausgabe der Zeitschrift
- 17
Files
1507.04247v1.pdf
Data source: arXiv
- Beziehungen:
- Property of