Gas permeation through a polymer network

Details Gas permeation through a polymer network Gas permeation through a polymer network

2005-01-12

arxiv.org/abs/cond-mat/0501302v1

J. Phys.: Condens. Matter 17, S1817-S1825 (2005)

Physics

Condensed Matter

Soft Condensed Matter

Dedicated to Lothar Schaefer on the occasion of his 60th birthday. 11 pages, 3 figures

Scientific paper

10.1088/0953-8984/17/20/011

We study the diffusion of gas molecules through a two-dimensional network of polymers with the help of Monte Carlo simulations. The polymers are modeled as non-interacting random walks on the bonds of a two-dimensional square lattice, while the gas particles occupy the lattice cells. When a particle attempts to jump to a nearest-neighbor empty cell, it has to overcome an energy barrier which is determined by the number of polymer segments on the bond separating the two cells. We investigate the gas current $J$ as a function of the mean segment density $\rho$, the polymer length $\ell$ and the probability $q^{m}$ for hopping across $m$ segments. Whereas $J$ decreases monotonically with $\rho$ for fixed $\ell$, its behavior for fixed $\rho$ and increasing $\ell$ depends strongly on $q$. For small, non-zero $q$, $J$ appears to increase slowly with $\ell$. In contrast, for $q=0$, it is dominated by the underlying percolation problem and can be non-monotonic. We provide heuristic arguments to put these interesting phenomena into context.

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