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Inertia and Hydrodynamic Interactions in Dynamical Density Functional Theory

  • Benjamin D. GoddardEmail author
  • Andreas Nold
  • Nikos Savva
  • Grigorios A. Pavliotis
  • Serafim Kalliadasis
Conference paper
Part of the Springer Proceedings in Complexity book series (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.

Keywords

Dynamical density functional theory Colloids Hydrodynamic interactions Inertia 

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Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  • Benjamin D. Goddard
    • 1
    Email author
  • Andreas Nold
    • 2
  • Nikos Savva
    • 3
  • Grigorios A. Pavliotis
    • 4
    • 5
  • Serafim Kalliadasis
    • 1
  1. 1.Department of Chemical EngineeringImperial College LondonLondonUK
  2. 2.Center of Smart InterfacesTU DarmstadtDarmstadtGermany
  3. 3.School of MathematicsCardiff UniversityCardiffUK
  4. 4.Department of MathematicsImperial College LondonLondonUK
  5. 5.Institut für MathematikFreie Universität BerlinBerlinGermany

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