Polymer adsorption on a fractal substrate: numerical study

Viktoria Blavatska; Wolfhard Janke

doi:10.1063/1.3691102

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arXiv · 1202.3086

Polymer adsorption on a fractal substrate: numerical study

Viktoria Blavatska·Wolfhard Janke

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Abstract

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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Viktoria Blavatska, Wolfhard Janke. 2012-02-14. Polymer adsorption on a fractal substrate: numerical study. https://doi.org/10.1063/1.3691102

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