Yong Wu et al J. Stat. Mech. (2007) P04003 doi:10.1088/1742-5468/2007/04/P04003
Yong Wu, B Schmittmann and R K P Zia
Show affiliationsWe study the process of diffusion through an ideal polymer network, using numerical methods. Polymers are modelled by random walks on the bonds of a two-dimensional square lattice. Molecules occupy the lattice cells and may jump to the nearest-neighbour cells, with probability determined by the occupation of the bond separating the two cells. Under subjection to a concentration gradient across the system, a constant average current flows in the steady state. Its behaviour appears to be a non-trivial function of polymer length, mass density and temperature, for which we offer qualitative explanations.
E-print Number: cond-mat/0703039
Cited: by |
Refers: to
61.41.+e Polymers, elastomers, and plastics
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)
Issue 04 (April 2007)
Received 2 March 2007, accepted for publication 20 March 2007
Published 4 April 2007
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