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Proceedings of the European Conference on Complex Systems 2012 pp 999–1004Cite as

Inertia and Hydrodynamic Interactions in Dynamical Density Functional Theory

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Part of the book series: Springer Proceedings in Complexity ((SPCOM))

Abstract

We study the dynamics of a colloidal fluid in the full position-momentum phase space, including hydrodynamic interactions, which strongly influence the non-equilibrium properties of the system. For large systems, the number of degrees of freedom prohibits direct simulation and a reduced model is necessary. Under standard assumptions, we derive a dynamical density functional theory (DDFT), which is a generalisation of many existing DDFTs, and shows good agreement with stochastic simulations.

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Author information

Authors and Affiliations

  1. Department of Chemical Engineering, Imperial College London, London, SW7 2AZ, UK

    Benjamin D. Goddard & Serafim Kalliadasis

  2. Center of Smart Interfaces, TU Darmstadt, Petersenstr. 32, 64287, Darmstadt, Germany

    Andreas Nold

  3. School of Mathematics, Cardiff University, Cardiff, CF24 4AG, UK

    Nikos Savva

  4. Department of Mathematics, Imperial College London, London, SW7 2AZ, UK

    Grigorios A. Pavliotis

  5. Institut für Mathematik, Freie Universität Berlin, Arnimallee 6, 14195, Berlin, Germany

    Grigorios A. Pavliotis

Authors
  1. Benjamin D. Goddard
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  2. Andreas Nold
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  3. Nikos Savva
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  4. Grigorios A. Pavliotis
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  5. Serafim Kalliadasis
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Corresponding author

Correspondence to Benjamin D. Goddard .

Editor information

Editors and Affiliations

  1. Université Libre de Bruxelles Faculté des Sciences, Brussels, Belgium

    Thomas Gilbert

  2. University of Warwick Mathematics Institute, Coventry, United Kingdom

    Markus Kirkilionis

  3. Université Libre de Bruxelles Faculté des Sciences, Brussels, Belgium

    Gregoire Nicolis

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© 2013 Springer International Publishing Switzerland

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Cite this paper

Goddard, B.D., Nold, A., Savva, N., Pavliotis, G.A., Kalliadasis, S. (2013). Inertia and Hydrodynamic Interactions in Dynamical Density Functional Theory. In: Gilbert, T., Kirkilionis, M., Nicolis, G. (eds) Proceedings of the European Conference on Complex Systems 2012. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-319-00395-5_120

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