%0 Book Section %1 statphys23_1100 %A White, J.A. %A González, A. %A Román, F.L. %A Velasco, S. %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 crossover density dimensional fluid functional fundamental hard measures sphere statphys23 theory topic-6 %T Analysis of the fundamental measures theory in extreme dimensional-crossover situations %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1100 %X Two density functional theories, the Fundamental measures theory of Rosenfeld and a subsequent approximation by Tarazona are applied to the fluid of hard spheres in a cylindrical pore and a spherical cavity. The results are compared with those obtained from Monte Carlo simulation. In general we obtain excellent agreement between both theories and simulation. However, in situations with a manifest dimensional crossover from three to one or zero dimensions Rosenfeld's theory fails while Tarazona's theory still yields very good results. This behavior is related to the fact that the later theory was explicitely developed from the requirement of having the correct dimensional-crossover properties.

@incollection{statphys23_1100, abstract = {Two density functional theories, the Fundamental measures theory of Rosenfeld and a subsequent approximation by Tarazona are applied to the fluid of hard spheres in a cylindrical pore and a spherical cavity. The results are compared with those obtained from Monte Carlo simulation. In general we obtain excellent agreement between both theories and simulation. However, in situations with a manifest dimensional crossover from three to one or zero dimensions Rosenfeld's theory fails while Tarazona's theory still yields very good results. This behavior is related to the fact that the later theory was explicitely developed from the requirement of having the correct dimensional-crossover properties.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {White, J.A. and Gonz\'alez, A. and Rom\'an, F.L. and Velasco, S.}, biburl = {https://www.bibsonomy.org/bibtex/2777284f1f3cddf1c937ec98478a90267/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {1a3eb3b1bb29d706693db5afffee5886}, intrahash = {777284f1f3cddf1c937ec98478a90267}, keywords = {crossover density dimensional fluid functional fundamental hard measures sphere statphys23 theory topic-6}, month = {9-13 July}, timestamp = {2007-06-20T10:16:39.000+0200}, title = {Analysis of the fundamental measures theory in extreme dimensional-crossover situations}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1100}, year = 2007 }