00-16 Pablo A. Ferrari, Christian Maes, Laura Ramos, Frank Redig
On the Hydrodynamic Equilibrium of a Rod in a Lattice Fluid (580K, Postscript) Jan 13, 00
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We model the behavior of a big (Brazil) nut in a medium of smaller nuts with a stochastic asymmetric simple exclusion dynamics of a polymer-monomer lattice system. The polymer or `rod' can move up or down in an external negative field, occupying N horizontal lattice sites where the monomers cannot enter. The monomers (at most one per site) or `fluid particles' are moving symmetrically in the horizontal plane and asymmetrically in the vertical direction, also with a negative field. For a fixed position of the rod, this lattice fluid is in equilibrium with a vertical height profile reversible for the monomers' motion. Upon `shaking' (speeding up the monomers) the motion of the `rod' dynamically decouples from that of the monomers resulting in a reversible random walk for the rod around an average height proportional to log N.

Files: 00-16.src( 00-16.keywords , brazil.ps )