Semi-classical buckling of stiff polymers

Details Semi-classical buckling of stiff polymers Semi-classical buckling of stiff polymers

2007-04-17

arxiv.org/abs/0704.2138v2

Physics

Condensed Matter

Soft Condensed Matter

Revtex, 17 pages, 4 figures

Scientific paper

10.1103/PhysRevE.76.061907

A quantitative theory of the buckling of a worm like chain based on a semi-classical approximation of the partition function is presented. The contribution of thermal fluctuations to the force-extension relation that allows to go beyond the classical Euler buckling is derived in the linear and non-linear regime as well. It is shown that the thermal fluctuations in the nonlinear buckling regime increase the end-to-end distance of the semiflexible rod if it is confined to 2 dimensions as opposed to the 3 dimensional case. Our approach allows a complete physical understanding of buckling in D=2 and in D=3 below and above the Euler transition.

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