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Dynamics of a thin liquid film with surface rigidity and spontaneous curvature

Michael H. Köpf, Svetlana V. Gurevich, Thomas Wulf, and Rudolf Friedrich
Phys. Rev. E 83, 040601(R) – Published 25 April 2011; Erratum Phys. Rev. E 86, 059904 (2012)

Abstract

The effect of rigid surfaces on the dynamics of thin liquid films that are amenable to the lubrication approximation is considered. It is shown that the Helfrich energy of the layer gives rise to additional terms in the time-evolution equations of the liquid film. The dynamics is found to depend on the absolute value of the spontaneous curvature, irrespective of its sign. Due to the additional terms, the effective surface-tension can be negative and an instability at intermediate wavelengths is observed. Furthermore, the dependence of the shape of a droplet on the bending rigidity as well as on the spontaneous curvature is discussed.

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  • Received 11 January 2011

DOI:https://doi.org/10.1103/PhysRevE.83.040601

©2011 American Physical Society

Erratum

Erratum: Dynamics of a thin liquid film with surface rigidity and spontaneous curvature [Phys. Rev. E 83, 040601(R) (2011)]

Michael H. Köpf, Svetlana V. Gurevich, Thomas Wulf, and Rudolf Friedrich
Phys. Rev. E 86, 059904 (2012)

Authors & Affiliations

Michael H. Köpf*, Svetlana V. Gurevich, Thomas Wulf, and Rudolf Friedrich

  • Institute for Theoretical Physics, University of Münster, D-48149 Münster, Germany

  • *m.koepf@uni-muenster.de
  • Also at: Motion Science, University of Münster, D-48149 Münster, Germany.

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Issue

Vol. 83, Iss. 4 — April 2011

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