Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2008-05-16
Physical Review E, 77, 061903 (2008)
Physics
Condensed Matter
Soft Condensed Matter
To appear in Physical Review E
Scientific paper
10.1103/PhysRevE.77.061903
We investigate the role of fluctuations in single molecule measurements of torque-link ($t-lk$) curves. For semiflexible polymers of finite persistence length (i.e. polymers with contour length $L$ comparable to the persistence length $L_P$), the torque versus link curve in the constant torque (isotorque) ensemble is distinct from the one in the constant link (isolink) ensemble. Thus, one encounters the conceptually interesting issue of a ``free energy of transition'' in switching ensembles while making torque-link measurements. We predict the dependence on the semiflexibility parameter $\beta = L/L_P$ of this extra contribution to the free energy which shows up as an area in the torque-link plane. This can be tested against future torque-link experiments with single biopolymers. We bring out the inequivalence of torque-link curves for a stiff polymer and present explicit analytical expressions for the {\it distinct} torque-link relations in the two ensembles and the free energy difference in switching ensembles in this context. The predictions of our work can be tested against single molecule experiments on torsionally constrained biopolymers.
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