We study the problem of adsorption and collapse transition of a linear polymer chain situated in a fractal container represented by a four-simplex lattice and interacting with a surface-adsorbed linear polymer chain. The adsorbed chain monomers act as pinning sites for the polymer chain. This...

A method based on a real space renormalization group transformation is developed to describe the critical behaviour of a surface interacting linear flexible polymer chain, represented by a self-avoiding walk. It is shown that a lattice model based on a central rule in which the starting point of...