A theoretical estimate on the probability of the formation of a self-avoiding copolymer macromolecule

Abstract

An infinitely long copolymer chain has been chosen as a directed self avoiding walk on a cubic lattice to understand the thermodynamics of the formation of a semi-flexible copolymer chain; and this linear copolymer chain is made of four different types of the monomers. A method of the recursion relations is used to solve the proposed model analytically for the semi-flexible self-avoiding copolymer chain; and it has been shown that the probability of the formation of a self-avoiding semi-flexible copolymer chain is independent of the stiffness of the copolymer chain. The result so obtained is a distinct result from our earlier findings on the formation of the Gaussian semi-flexible copolymer chain and the Gaussian chain is made up of these four monomers, [P. K. Mishra, 2020 J. of Adv. Appl. Sci. Res. 2(4) 1-8]. The distinction in the thermodynamics of the self-avoiding copolymer chain from the Gaussian copolymer chain has been further confirmed on the basis of calculations on an average number of different types of the bonding in the copolymer chain.