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arXiv · 2010.10105

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

Pramod Kumar Mishra
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Abstract

A lattice model of the directed self-avoiding walk is used to estimate the possibility on the formation of an infinitely long linear semi-flexible copolymer chain. The copolymer chain is assumed to composed of four different types of the monomers. A method of the recursion relations is used to solve the proposed model analytically to show that the probability of the formation of a self-avoiding semi-flexible copolymer chain is independent of the stiffness of the chain. It is a distinct result from our earlier study on the formation of a Gaussian semi-flexible copolymer chain and the Gaussian chain is made up of these four monomers, [P. K. Mishra, J. of Adv. Appl. Sci. Res. 2(4) 1-8 (2020)]. We have also calculated the average number of different types of the bonding in the copolymer chain to show the distinctions in the behaviour of the self-avoiding copolymer chain from the Gaussian polymer chain.

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Pramod Kumar Mishra. 2020-10-20. A theoretical estimate on the probability of the formation of a self-avoiding copolymer macromolecule. https://doi.org/10.1088/1742-6596%2F1849%2F1%2F012027

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