%0 Journal Article
%T Explicit excluded volume of cylindrically symmetric convex bodies
%A Marco Piastra
%A Epifanio G. Virga
%J Physics
%D 2015
%I arXiv
%R 10.1103/PhysRevE.91.062503
%X We represent explicitly the excluded volume Ve{B1,B2} of two generic cylindrically symmetric, convex rigid bodies, B1 and B2, in terms of a family of shape functionals evaluated separately on B1 and B2. We show that Ve{B1,B2} fails systematically to feature a dipolar component, thus making illusory the assignment of any shape dipole to a tapered body in this class. The method proposed here is applied to cones and validated by a shape-reconstruction algorithm. It is further applied to spheroids (ellipsoids of revolution), for which it shows how some analytic estimates already regarded as classics should indeed be emended.
%U http://arxiv.org/abs/1503.04667v2