%0 Book Section %1 statphys23_0611 %A Macdowell, L.G. %A Shen, V. %A Errington, J. %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 approximation capillary curved drop interfaces metastability statphys23 topic-6 %T Condensation and Cavitation of spherical, cylindrical and slab like droplets and bubbles %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=611 %X In this paper we extend previous related studies on the behavior of subcritical isotherms of small nanopore sized systems within the coexsitence region. We employ a capillary drop model and obtain analytical results that allow us to predict the shape of subcritical isotherms. We find that different sequences of transitions between condensed or cavitated domains occur as a function of system size. For large systems, we find a sequence of transitions between spherical, cylindrical and slab like domains. As the system size decreases, those domains with larger curvature are gradually suppressed, such that the condensation (or cavitation) occurs between a homogeneous and a cylindrical domain, or between a homogeneous and a slab like domain. Eventually, for very small system sizes, no condensation occurs at all, and a full mean field van der Waals loop is observed. These qualitative predictions are tested against computer simulation results for the Lennard--Jones system, and good agreement is found. For very small system sizes, we observe that the simulated isotherms closely resemble the mean field isotherm up to the spinodal points and also inside the `unstable' portion of the van der waals loop. Employing an accurate mean field equation of state, together with surface tensions obtained from simulation, we find that the capillary drop model provides excellent agreement up to very small system sizes. We discuss the nature of the extrema of of the finite size loops, and show they are more related to the bubble and dew points than to the spinodal. Our results are of relevance to phase transitions is nanopores and provide first order corrections to nucleation energies meassured in finite closed systems.

@incollection{statphys23_0611, abstract = {In this paper we extend previous related studies on the behavior of subcritical isotherms of small nanopore sized systems within the coexsitence region. We employ a capillary drop model and obtain analytical results that allow us to predict the shape of subcritical isotherms. We find that different sequences of transitions between condensed or cavitated domains occur as a function of system size. For large systems, we find a sequence of transitions between spherical, cylindrical and slab like domains. As the system size decreases, those domains with larger curvature are gradually suppressed, such that the condensation (or cavitation) occurs between a homogeneous and a cylindrical domain, or between a homogeneous and a slab like domain. Eventually, for very small system sizes, no condensation occurs at all, and a full mean field van der Waals loop is observed. These qualitative predictions are tested against computer simulation results for the Lennard--Jones system, and good agreement is found. For very small system sizes, we observe that the simulated isotherms closely resemble the mean field isotherm up to the spinodal points and also inside the `unstable' portion of the van der waals loop. Employing an accurate mean field equation of state, together with surface tensions obtained from simulation, we find that the capillary drop model provides excellent agreement up to very small system sizes. We discuss the nature of the extrema of of the finite size loops, and show they are more related to the bubble and dew points than to the spinodal. Our results are of relevance to phase transitions is nanopores and provide first order corrections to nucleation energies meassured in finite closed systems.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Macdowell, L.G. and Shen, V. and Errington, J.}, biburl = {https://www.bibsonomy.org/bibtex/272a746ab16d34f5059fe09c4131f4cfe/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {2a059a214921d98214b078be4fa35f80}, intrahash = {72a746ab16d34f5059fe09c4131f4cfe}, keywords = {approximation capillary curved drop interfaces metastability statphys23 topic-6}, month = {9-13 July}, timestamp = {2007-06-20T10:16:24.000+0200}, title = {Condensation and Cavitation of spherical, cylindrical and slab like droplets and bubbles}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=611}, year = 2007 }