title: Polymer adsorption on a fractal substrate: numerical study.
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. We find estimates for the surface crossover exponent governing the scaling of the adsorption energy in the vicinity of transition point, φ(s)(p(c))=0.425±0.009, and for adsorption transition temperature, T(A)(p(c))=2.64±0.02. 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.
authors.affiliation: Institut für Theoretische Physik and Centre for Theoretical Sciences, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany. viktoria@icmp.lviv.ua
authors.forename: Viktoria
authors.initials: V
authors.lastname: Blavatska
authors.forename: Wolfhard
authors.initials: W
authors.lastname: Janke
mesh_terms: D000327:Adsorption; D017709:Fractals; D008956:Models, Chemical; D015394:Molecular Structure; D010316:Particle Size; D011108:Polymers / Q000737:chemistry*; D013499:Surface Properties
chemical_list: D011108:Polymers