Simulation studies of permeation through two-dimensional ideal polymer networks

Details Simulation studies of permeation through two-dimensional ideal polymer networks Simulation studies of permeation through two-dimensional ideal polymer networks

2007-03-01

arxiv.org/abs/cond-mat/0703039v2

J. Stat. Mech. (2007) P04003

Physics

Condensed Matter

Statistical Mechanics

8 pages, 4 figures

Scientific paper

10.1088/1742-5468/2007/04/P04003

We study the diffusion process through an ideal polymer network, using numerical methods. Polymers are modeled by random walks on the bonds of a two-dimensional square lattice. Molecules occupy the lattice cells and may jump to the nearest-neighbor cells, with probability determined by the occupation of the bond separating the two cells. Subjected to a concentration gradient across the system, a constant average current flows in the steady state. Its behavior appears to be a non-trivial function of polymer length, mass density and temperature, for which we offer qualitative explanations.

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