%0 Book Section %1 statphys23_0988 %A Dimitrov, D.I. %A Milchev, A. %A Binder, K. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K capillary dynamics equation filling lucas-washburn molecular statphys23 topic-6 %T Capillary Rise in Nanopores: Molecular Dynamics Evidence for the Lucas-Washburn Equation %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=988 %X 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.

@incollection{statphys23_0988, 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.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Dimitrov, D.I. and Milchev, A. and Binder, K.}, biburl = {https://www.bibsonomy.org/bibtex/2268992c81f0c024a85085ce438d68cd0/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {e863f91d7b45509b20108c452b611762}, intrahash = {268992c81f0c024a85085ce438d68cd0}, keywords = {capillary dynamics equation filling lucas-washburn molecular statphys23 topic-6}, month = {9-13 July}, timestamp = {2007-06-20T10:16:36.000+0200}, title = {Capillary Rise in Nanopores: Molecular Dynamics Evidence for the Lucas-Washburn Equation}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=988}, year = 2007 }