Pablo A Ferrari et al 2000 J. Phys. A: Math. Gen. 33 4725 doi:10.1088/0305-4470/33/26/301
On the hydrodynamic equilibrium of a rod in a lattice fluid
Pablo A Ferrari1, Christian Maes2, Laura Ramos1 and Frank Redig2
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We model the behaviour of a big (Brazil) nut in a medium of smaller nuts with the 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 which is reversible for the motion of the monomers. 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.
- PACS
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05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
05.40.Fb Random walks and Levy flights
05.10.Gg Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
- MSC
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82C41 Dynamics of random walks, random surfaces, lattice animals, etc. (See also 60G50)
82C44 Dynamics of disordered systems (random Ising systems, etc.)
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) (See also 60H10)
- Subjects
- Dates
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Issue 26 (7 July 2000)
Received 14 January 2000
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On the hydrodynamic equilibrium of a rod in a lattice fluid
Pablo A Ferrari et al 2000 J. Phys. A: Math. Gen. 33 4725
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