KRÜGER, Matthias; DEAN, David S.

doi:10.1063/1.4979659

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http://creativecommons.org/licenses/by-sa/

KRÜGER, Matthias
Max Planck Institute for Intelligent Systems [Tübingen]

DEAN, David S.
Laboratoire Ondes et Matière d'Aquitaine [LOMA]

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Journal of Chemical Physics. 2017, vol. 146, n° 13, p. 134507 (1-7)

American Institute of Physics

Resumen en inglés

Assuming an effective quadratic Hamiltonian, we derive an approximate, linear stochastic equation of motion for the density-fluctuations in liquids, composed of overdamped Brownian particles. From this approach, time dependent two point correlation functions (such as the intermediate scattering function) are derived. We show that this correlation function is exact at short times, for any interaction and, in particular, for arbitrary external potentials so that it applies to confined systems. Furthermore, we discuss the relation of this approach to previous ones, such as dynamical density functional theory as well as the formally exact treatment. This approach, inspired by the well known Landau-Ginzburg Hamiltonians, and the corresponding "Model B" equation of motion, may be seen as its microscopic version, containing information about the details on the particle level.< Leer menos

DOI

http://dx.doi.org/10.1063/1.4979659

Proyecto ANR

Interactions induites par des fluctuations entre interfaces molles dans les systèmes complexes - ANR-15-CE30-0015

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Importado de Hal

Centros de investigación

Laboratoire Ondes et Matière d'Aquitaine (LOMA) - UMR 5798