Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2005-01-09
JSTAT/2006/P03019
Physics
Condensed Matter
Soft Condensed Matter
The most formal developments of Section I have been moved into an appendix and replaced by a direct derivation of the transfer
Scientific paper
10.1088/1742-5468/2006/03/P03019
The aim of the present paper is the study of the entropic elasticity of the dsDNA molecule, having a cristallographic length L of the order of 10 to 30 persistence lengths A, when it is subject to spatial obstructions. We have not tried to obtain the single molecule partition function by solving a Schodringer-like equation. We prefer to stay within a discretized version of the WLC model with an added one-monomer potential, simulating the spatial constraints. We derived directly from the discretized Boltzmann formula the transfer matrix connecting the partition functions relative to adjacent "effective monomers". We have plugged adequate Dirac delta-functions in the functional integral to ensure that the monomer coordinate and the tangent vector are independent variables. The partition function is, then, given by an iterative process which is both numerically efficient and physically transparent. As a test of our discretized approach, we have studied two configurations involving a dsDNA molecule confined between a pair of parallel plates.
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