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Dynamical density functional theory for the diffusion of injected Brownian particles

Löwen, A. and Heinen, M. (2014) Dynamical density functional theory for the diffusion of injected Brownian particles. European Physical Journal Special Topics, 223 (14). pp. 3113-3127. ISSN 1951-6355. https://resolver.caltech.edu/CaltechAUTHORS:20150115-101727950

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Abstract

While the theory of diffusion of a single Brownian particle in confined geometries is well-established by now, we discuss here the theoretical framework necessary to generalize the theory of diffusion to dense suspensions of strongly interacting Brownian particles. Dynamical density functional theory (DDFT) for classical Brownian particles represents an ideal tool for this purpose. After outlining the basic ingredients to DDFT we show that it can be readily applied to flowing suspensions with time-dependent particle sources. Particle interactions lead to considerable layering in the mean density profiles, a feature that is absent in the trivial case of noninteracting, freely diffusing particles. If the particle injection rate varies periodically in time with a suitable frequency, a resonance in the layering of the mean particle density profile is predicted.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1140/epjst/e2014-02322-8 DOIArticle
http://link.springer.com/article/10.1140%2Fepjst%2Fe2014-02322-8PublisherArticle
http://arxiv.org/abs/1409.2505arXivDiscussion Paper
http://rdcu.be/ttfcPublisherFree ReadCube access
Additional Information:© 2014 EDP Sciences, Springer-Verlag. Received 17 October 2014; Received in final form 5 November 2014; Published online 15 December 2014. We acknowledge Katarina Popowa for help in typing the manuscript. This work was supported by the ERC Advanced Grant INTERCOCOS (project number 267499). M.H. acknowledges support by a fellowship within the Postdoc-Program of the German Academic Exchange Service (DAAD).
Funders:
Funding AgencyGrant Number
European Research Council (ERC)267499
Deutscher Akademischer Austauschdienst (DAAD)UNSPECIFIED
Issue or Number:14
Record Number:CaltechAUTHORS:20150115-101727950
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150115-101727950
Official Citation:Löwen, H. & Heinen, M. Eur. Phys. J. Spec. Top. (2014) 223: 3113. doi:10.1140/epjst/e2014-02322-8
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:53771
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Jan 2015 20:27
Last Modified:03 Oct 2019 07:52

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