01014nas a2200157 4500008004100000245004500041210004500086260001500131300001000146490000700156520059200163100002700755700001800782700001900800856003700819 2011 eng d00aEntropic force of polymers on a cone tip0 aEntropic force of polymers on a cone tip c2011/12/01 a660020 v963 a We consider polymers attached to the tip of a cone, and the resulting force
due to entropy loss on approaching a plate (or another cone). At separations
shorter than the polymer radius of gyration R_g, the only relevant length scale
is the tip-plate (or tip-tip) separation h, and the entropic force is given by
F=A kT/h. The universal amplitude A can be related to (geometry dependent)
correlation exponents of long polymers. We compute A for phantom polymers, and
for self-avoiding (including star) polymers by epsilon-expansion, as well as by
numerical simulations in 3 dimensions.
1 aMaghrebi, Mohammad, F.1 aKantor, Yacov1 aKardar, Mehran uhttp://arxiv.org/abs/1109.5658v2