Volume 73, Number 5, March 2006
|Page(s)||684 - 690|
|Published online||18 January 2006|
Wormlike chain statistics with twist and fixed ends
Department of Chemical Engineering, Stanford University - Stanford, CA, USA
Accepted: 5 January 2006
We present the exact solution for the end-to-end statistics of a wormlike chain including twist stiffness and fixed-end orientations. Our results are expressed in Fourier-Laplace space as infinite continued fractions, which are concisely stated and easily employed in a wide range of problems involving semiflexible polymers that oppose twist deformation. We then apply our results to the J-factor or ring-closure probability of DNA. As our results are exact (i.e. non-perturbative), we find a measurable difference between the J-factor calculated from our results and approximate, perturbative theory; the error in the approximate theory stems in part from the absence of non-trivial topoisomers that are accounted for in our exact treatment.
PACS: 05.20.-y – Classical statistical mechanics / 36.20.Ey – Conformation (statistics and dynamics) / 87.15.-v – Biomolecules: structure and physical properties
© EDP Sciences, 2006
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.