On the Hydrodynamic Equilibrium of a Rod in a Lattice Fluid
نویسندگان
چکیده
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 eld occupying N horizontal lattice sites where the monomers cannot enter The monomers at most one per site or uid particles are moving symmetrically in the horizontal plane and asym metrically in the vertical direction also with a negative eld For a xed position of the rod this lattice uid is in equilibrium with a vertical height pro le 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 logN
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