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We describe method to discuss thermodynamics of a defected semi-flexiblehomo-polymer chain in the two and three dimensions using fully directedself-avoiding walk lattice model. The defects are located along a line andthese defects are not in the thermal equilibrium with the monomers of thesemi-flexible polymer chain; i. e. we consider the case of defectedsemi-flexible polymer chain in the present manuscript for the case of quencheddefects. There are m defects on the conformations of the N monomers longsemi-flexible polymer chain and we exactly count the number of Q realizationsof the defected conformations of N-monomers long self-avoiding semi-flexiblepolymer chain; and thus we derive the exact expression of the free energy ofthe defected semi-flexible polymer chain for the finite length (i. e. using thefixed particle ensemble method); and we also derive exact expression of thepartition function for the defected self-avoiding semi-flexible polymer chainin the thermodynamic limit using the grand canonical ensemble theory. Themethod described in this manuscript may be easily extended to another case ofthe defected polymer chain for isotropic/directed walk lattice models.

Statistics of Quenched Defects Containing Semi-Flexible Polymer Chain: Exact Results (II)