Effect of confinement and stiffness on the conformational change of a semiflexible homopolymer chain

Mishra, Pramod Kumar

doi:10.1007/s12648-017-1049-4

Cited by 6 publications

(2 citation statements)

References 25 publications

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“…The recursion relations for the square lattice may be written in the following manner [10][11][12][13][14][15][16][17];…”

Section: Methods Of Calculationsmentioning

confidence: 99%

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The Bending Energy of a Semi-Flexible Polymer Chain and the Polygons of the Polymer Chain

Mishra¹

2019

IJERT

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We consider random walk model for a semiflexible polymer chain using a square and the cubic lattices to enumerate conformations of the polymer chain in two and three dimensions, respectively. The bending energy of the chain is assumed as the key factor which controls the minimum average length of the chain in between two successive bends in the chain; and the average length of the chain in between its two successive bends is defined as the persistence length (lp) of the polymer chain. Our analytical estimate suggests that the minimum energy required to bend the chain is Eb=kB*T*Log [2*(d-1)*g*lp], (where d, g and lp represents the dimensionality of the space, the step fugacity of the chain and the persistence length of the polymer chain, respectively), which is required to bend the chain so that a polymer loop of the perimeter 4*lp may be formed. Our estimate of the bending energy is independent of the fact that whether chain is ideal or the self-avoiding polymer; where in the case of ideal chain the vortex of the chain is treated as a monomer (the vertex version) while in the case of the selfavoiding polymer model each bond of the walk is treated as a monomer of the polymer chain (the bond version). The method of calculations of thermodynamics of the chain may be easily extended to the case of isotropic walk polymer model, the partially and the fully directed walk models of the polymer chain.

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“…The recursion relations for the square lattice may be written in the following manner [10][11][12][13][14][15][16][17];…”

Section: Methods Of Calculationsmentioning

confidence: 99%

“…And for the cubic lattice case the recursion relations may be written as [10][11][12][13][14][15][16][17]; For the sake of simplicity, all steps may be represented with the step fugacity equal to g.…”

Section: Methods Of Calculationsmentioning

confidence: 99%