Polymer adsorption on a fractal substrate: numerical study

Details Polymer adsorption on a fractal substrate: numerical study Polymer adsorption on a fractal substrate: numerical study

2012-02-14

arxiv.org/abs/1202.3086v1

J. Chem. Phys. 136, 104907 (2012)

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 16 figures

Scientific paper

10.1063/1.3691102

We study the adsorption of flexible polymer macromolecules on a percolation cluster, formed by a regular two-dimensional disordered lattice at critical concentration p_c of attractive sites. The percolation cluster is characterized by a fractal dimension d_s^{p_c}=91/49. The conformational properties of polymer chains grafted to such a fractal substrate are studied by means of the pruned-enriched Rosenbluth method (PERM). We find estimates for the surface crossover exponent governing the scaling of the adsorption energy in the vicinity of the transition point, \phi_s^{p_c}=0.425\pm0.009, and for the adsorption transition temperature, T_A^{p_c}=2.64\pm0.02. As expected, the adsorption is diminished when the fractal dimension of the substrate is smaller than that of a plain Euclidean surface. The universal size and shape characteristics of a typical spatial conformation which attains a polymer chain in the adsorbed state are analyzed as well.

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