Explicit excluded volume of cylindrically symmetric convex bodies
Soft Condensed Matter
2015-06-16 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1503.04667,
title = {Explicit excluded volume of cylindrically symmetric convex bodies},
author = {Marco Piastra and Epifanio G. Virga},
journal= {arXiv preprint arXiv:1503.04667},
year = {2015}
}