We demonstrate that two mechanisms used by biological ion channels to select
particles by size are driven by entropy. With uncharged particles in an
infinite cylinder, we show that a channel that attracts particles is
small-particle selective and that a channel that repels water from the wall is
large-particle selective. Comparing against extensive density-functional theory
calculations of our model, we find that the main physics can be understood with
surprisingly simple bulk models that neglect the confining geometry of the
channel completely.Comment: 4 pages, 3 figures, Phys. Rev. Lett. (accepted