Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-08-13
Phys. Rev. E 75, 021803 (2007)
Physics
Condensed Matter
Statistical Mechanics
15 pages, 15 figures; version accepted for publication in Phys. Rev. E; one new figure and discussions added
Scientific paper
We show that the mechanical properties of a worm-like-chain (WLC) polymer, of contour length $L$ and persistence length $\l$ such that $t=L/\l\sim{\cal O}(1)$, depend both on the ensemble and the constraint on end-orientations. In the Helmholtz ensemble, multiple minima in free energy near $t=4$ persists for all kinds of orientational boundary conditions. The qualitative features of projected probability distribution of end to end vector depend crucially on the embedding dimensions. A mapping of the WLC model, to a quantum particle moving on the surface of an unit sphere, is used to obtain the statistical and mechanical properties of the polymer under various boundary conditions and ensembles. The results show excellent agreement with Monte-Carlo simulations.
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