The Role of annealed defects on conformational statistics of a selfavoiding semi-flexible polymer chain: Exact Results (I)

Abstract

We study equilibrium statistics of single semi-flexible polymer chain in the presence of defects. The defects are lying along a line in the two and three dimensions and the monomers are interacting with the onsite potential of the defects. A fully directed self-avoiding walk model is used in two and three dimensions to describe thermo-dynamical behaviour of the chain in the presence of m defects. We have found that the number of conformations of the semiflexible polymer chain may be controlled by means of introduction of such defects so that a particular fraction of the chain conformations may be either suppressed or populated as per our requirements for synthesizing the polymer-nanoaggregates. We discuss the role of annealed defects for its Q realizations and m defects analytically, i. e. when the defects are in the thermal equilibrium with the monomers of the semi-flexible chain.