By a formal analytic argument based on Minkowski’s expression for the isotropic average of the excluded volume of convex bodies,we reproduce the exact formula for the excluded volume of two spherorods—also known by the more traditional name of spherocylinders, which is classically derived through a geometric construction. By applying the same argument to spherodisks, which represent discotic platelets, we obtain a simple explicit formula for their excluded volume, whose validity is corroborated by a shape-reconstruction algorithm.
Onsagerian formula for the excluded volume of spherodisks
PIASTRA, MARCO;VIRGA, EPIFANIO GUIDO GIOVANNI
2013-01-01
Abstract
By a formal analytic argument based on Minkowski’s expression for the isotropic average of the excluded volume of convex bodies,we reproduce the exact formula for the excluded volume of two spherorods—also known by the more traditional name of spherocylinders, which is classically derived through a geometric construction. By applying the same argument to spherodisks, which represent discotic platelets, we obtain a simple explicit formula for their excluded volume, whose validity is corroborated by a shape-reconstruction algorithm.File in questo prodotto:
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