Independence of adsorption transition point from bending energy of a semiflexible polymer chain: Exact results

Physics – Condensed Matter – Soft Condensed Matter

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11 pages and two figures

Scientific paper

We analyze adsorption desorption phase transition behaviour of a linear semiflexible polymer chain on a geometrical constraint(s) under good solvent condition in two dimensions. The constraint is stair shaped impenetrable surface, for two dimensional space, the surface is a line and the polymer chain is confined in between two ($A$ & $B$) such surface. Lattice model of fully directed self avoiding walk is used to calculate exact expression of the partition function when the chain has attractive interaction with any or both the constraints. We have found in each of the case that adsorption transition point of the polymer chain is independent of bending energy of the chain for different values of spacing between the constraints. Our result differs from predicted behaviour for adsorption of the semiflexible polymer chain on a flat surface where adsorption transition point depends on bending energy of the chain.

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