@incollection{statphys23_0988, title = {Capillary Rise in Nanopores: Molecular Dynamics Evidence for the Lucas-Washburn Equation}, address = {Genova, Italy}, author = {D.I. Dimitrov and A. Milchev and K. Binder}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Luciano Pietronero and Vittorio Loreto and Stefano Zapperi}, month = {9-13 July}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=988}, year = {2007}, biburl = {http://www.bibsonomy.org/bibtex/2268992c81f0c024a85085ce438d68cd0/statphys23}, abstract = {When a capillary is inserted into a liquid, the liquid will rapidly flow into it. This phenomenon, well studied and understood on the macroscale, is investigated by Molecular Dynamics simulations for coarse-grained models of nanotubes. Both a simple Lennard-Jones fluid and a model for a polymer melt are considered. In both cases after a transient period (of a few nanoseconds) the meniscus rises according to a square-root-of-time law. For the polymer melt, however, we find that the capillary flow exhibits a slip length, comparable in size with the nanotube radius R. We show that a consistent description of the imbibition process in nanotubes is only possible upon modification of the Lucas-Washburn law which takes explicitly into account the slip length. We also demonstrate that the velocity field of the rising fluid close to the interface is not a simple diffusive spreading.}, keywords = {capillary dynamics equation filling lucas-washburn molecular statphys23 topic-6 } }