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...

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 model of two interacting polymer chains has been proposed to study the effect of penetration of one chain into the other. We show that small chain penetrates more in comparison to the long chain. We also find a condition in which both chains cannot grow on their own (or polymerize) but can...