Regensburg 2013 – scientific programme

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CPP: Fachverband Chemische Physik und Polymerphysik

CPP 44: Wetting, Micro- and Nanofluidics

CPP 44.4: Talk

Thursday, March 14, 2013, 16:00–16:15, H39

Fluctuating Boundary Conditions in Hydrodynamics — •Martin Reichelsdorfer and Klaus Mecke — Institut für Theoretische Physik, Universität Erlangen-Nürnberg, Staudtstraße 7, 91058 Erlangen

Fluctuating internal stresses are ubiquitous in the hydrodynamics of small systems. The correlations of these ‘noise’ terms are closely related to the viscosities, which is an example of a fluctuation dissipation relation. Here, we extend this fundamental principle to fluid interfaces with slip boundary conditions. We demonstrate that fluid-fluid and fluid-substrate interactions can be treated consistently in a unified way by introducing a fluctuating boundary force. In the spirit of Bocquet and Barrat [1] the correlations of the latter give rise to the friction coefficient between fluid and substrate. Moreover, we show that cross-correlations with the fluctuating stresses inside the liquid can lead to even strongly enhanced slip, described by an effective slip length. As an application we study the dewetting dynamics of thin liquid films [2].
[1] L. Bocquet and J.-L. Barrat. Physical Review E, 49(4):3079, 1994.

[2] R. Fetzer et al. Physical Review Letters, 99:114503, 2007.