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 (PERM). We find estimates for the surface crossover exponent governing the scaling of the adsorption energy in the vicinity of the transition point, ϕ_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.

11 pages, 16 figures

References in corpus (22)

• Multicanonical Chain Growth Algorithm
• Growth Algorithms for Lattice Heteropolymers at Low Temperatures
• Massive Field-Theory Approach to Surface Critical Behavior in Three-Dimensional Systems
• Thermodynamics of Lattice Heteropolymers
• Simulations of grafted polymers in a good solvent
• Conformational Transitions of Non-Grafted Polymers Near an Adsorbing Substrate
• Correction-to-scaling exponents for two-dimensional self-avoiding walks
• Shape anisotropy of polymers in disordered environment
• Surface critical behavior in fixed dimensions $d<4$: Nonanalyticity of critical surface enhancement and massive field theory approach
• Polymer adsorption on heterogeneous surfaces
• Substrate Adhesion of a Nongrafted Flexible Polymer in a Cavity
• Conformational Mechanics of Polymer Adsorption Transitions at Attractive Substrates
• Systematic Microcanonical Analyses of Polymer Adsorption Transitions
• Comparison of the Adsorption Transition for Grafted and Nongrafted Polymers
• Dependence of the Critical Adsorption Point on Surface and Sequence Disorders for Self-Avoiding Walks Interacting with a Planar Surface
• Scaling behavior of self-avoiding walks on percolation clusters
• Walking on fractals: diffusion and self-avoiding walks on percolation clusters
• Thermodynamics of polymer adsorption to a flexible membrane
• Exact and Monte Carlo study of adsorption of a self-interacting polymer chain for a family of three-dimensional fractals
• Field theoretical analysis of adsorption of polymer chains at surfaces: Critical exponents and Scaling
• Influence of long-range correlated quenched disorder on the adsorption of long flexible polymer chains on a wall
• Influence of long-range correlated surface and near the surface disorder on the process of adsorption of long-flexible polymer chains

Cited by in corpus (4)

• Polymer Adsorption on Curved Surfaces
• Polymers in disordered environments
• Exact study of surface critical exponents of polymer chains grafted to adsorbing boundary of fractal lattices embedded in three-dimensional space
• Mapping self-avoiding walk on obstacle-ridden lattice onto chelation of heavy metal ions: Monte Carlo study