%0 Book Section %1 statphys23_0993 %A Cadilhe, A. %A Araújo, N.A.M. %A Marques, J.F. %A Privman, V. %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 adsorption colloids patterned statphys23 substrate topic-7 %T Can a patterned substrate influence the irreversible deposition of colloidal particles? %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=993 %X Single-layer colloidal films are of great technological interest to a wide range of devices, such as photonic crystals, quantum dots, and heterogeneous catalysts. From a theoretical point of view, the irreversible deposition of colloidal particles at surfaces also poses interesting challenges. Devices usually require strict deposition areas to function adequately. The latter condition can be achieved by patterning the substrate. However, less research effort on the theoretical understanding of how colloidal particles can irreversibly adsorb on patterned substrates based on their size, size and shape of cells where they can adsorb, and on the arrangement of such cell on the substrates. Any insight on the relevance of the parameters describing the above-mentioned constraints will offer better predictive understanding at the nanometer scale. In the present talk we review part of our research on the irreversible colloidal particle deposition on square cells embedded on a square lattice matrix. We parametrize the adsorption in terms of the dimensionless parameters $\alpha=a/2r$ and $\beta=b/2r$, corresponding, respectively to the size of the adsorption cells $a$ and their distance $b$ in terms of particle diameters ($2r$). Depending on the values of $\alpha$ and $\beta$, colloidal particles from different cells can interact leading to non-trivial jamming state structures, such as the presence of locally ordered structures. 1 Varying the value of $\alpha$ one or more particles can actually fit in within a cell. Now varying the value of $\beta$ can again reduce the number of available particles within a cell, even though the cell alows a larger number of adsorbed colloids. Finally, we will also present a study of the number of particles, their average distance, and their dispersion within a cell. Reference\\ 1) ``Random Sequential Adsorption: From Continuum to Lattice and Pre-Patterned Substrates'', A. Cadilhe, N. A. M. Araújo, and V. Privman, J. Phys.: Condens. Matter 19, 065124, 12 pages (2007).

@incollection{statphys23_0993, abstract = {Single-layer colloidal films are of great technological interest to a wide range of devices, such as photonic crystals, quantum dots, and heterogeneous catalysts. From a theoretical point of view, the irreversible deposition of colloidal particles at surfaces also poses interesting challenges. Devices usually require strict deposition areas to function adequately. The latter condition can be achieved by patterning the substrate. However, less research effort on the theoretical understanding of how colloidal particles can irreversibly adsorb on patterned substrates based on their size, size and shape of cells where they can adsorb, and on the arrangement of such cell on the substrates. Any insight on the relevance of the parameters describing the above-mentioned constraints will offer better predictive understanding at the nanometer scale. In the present talk we review part of our research on the irreversible colloidal particle deposition on square cells embedded on a square lattice matrix. We parametrize the adsorption in terms of the dimensionless parameters $\alpha=a/2r$ and $\beta=b/2r$, corresponding, respectively to the size of the adsorption cells $a$ and their distance $b$ in terms of particle diameters ($2r$). Depending on the values of $\alpha$ and $\beta$, colloidal particles from different cells can interact leading to non-trivial jamming state structures, such as the presence of locally ordered structures. [1] Varying the value of $\alpha$ one or more particles can actually fit in within a cell. Now varying the value of $\beta$ can again reduce the number of available particles within a cell, even though the cell alows a larger number of adsorbed colloids. Finally, we will also present a study of the number of particles, their average distance, and their dispersion within a cell. Reference\\ 1) ``Random Sequential Adsorption: From Continuum to Lattice and Pre-Patterned Substrates'', A. Cadilhe, N. A. M. Ara\'ujo, and V. Privman, J. Phys.: Condens. Matter \textbf{19}, 065124, 12 pages (2007).}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Cadilhe, A. and Ara\'ujo, N.A.M. and Marques, J.F. and Privman, V.}, biburl = {https://www.bibsonomy.org/bibtex/2961ff610b4fea45134b44caa189e4dde/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {499bcbb48605d7df181324a18cc6ef5c}, intrahash = {961ff610b4fea45134b44caa189e4dde}, keywords = {adsorption colloids patterned statphys23 substrate topic-7}, month = {9-13 July}, timestamp = {2007-06-20T10:16:36.000+0200}, title = {Can a patterned substrate influence the irreversible deposition of colloidal particles?}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=993}, year = 2007 }