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CPP: Fachverband Chemische Physik und Polymerphysik

CPP 46: P11: Wetting, Micro and Nano Fluidics

CPP 46.8: Poster

Wednesday, March 18, 2015, 10:00–13:00, Poster A

Continuum approach to the statics and dynamics of two-phase systems — •Nikita Tretyakov1, Jasna Zelko1, Kostas Ch. Daoulas1, and Burkhard Dünweg1,2,31Max Planck Institute for Polymer Research, Mainz, Germany — 2Institute for Solid State Research, TU Darmstadt, Germany — 3Dept. of Chemical Engineering, Monash University, Australia

The most appropriate theoretical description of, e.g., droplets near surfaces, and similar systems, is computational modeling based upon continuum thermodynamics (statics) and hydrodynamics (dynamics).

In the statical case, we present a field-theoretical description [1, 2] of water-vapor interface in the vicinity of a corrugated substrate at nanoscale. The virtue of the method consists in the possibility to derive and calculate the free energy of the system [3].

In the dynamical case, we propose a fully consistent formulation of the lattice Boltzmann method for two-phase fluids (liquid-vapor coexistence) [4]. To this end, one employs the Chapman-Enskog expansion up to the 3rd order and introduces a correction current to fulfill the continuity equation.

[1] K. M. Hong and J. Noolandi, Macromolecules , 14, 3, 1981.

[2] G. H. Fredrickson, The equilibrium theory of inhomogeneous polymers, Oxford, 2006.

[3] K. Ch. Daoulas and M. Müller, Soft Matter, 9, p. 4097, 2013.

[4] J. Zelko and B. Dünweg, Phys. Rev. E (accepted), arXiv:1402.2920, 2014.

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