FIG. 9.

The KWLC looping J factor, $J_L^{*}$, as a function of contour length plotted for various values of the kinking parameter ζ. The numbers labeling the curves indicate the value of the dimensionless quantity ξζ. WLC is the curve labeled 0. For large contour length L, the effect of kinking can be accounted for by computing J_L for the effective persistence length, ξ*. But as the contour length shrinks to a persistence length, the effect of kinking becomes dominant, even for small ζ. At short contour length the looping J factor is one kink dominated and diverges in contrast to the WLC looping J factor which approaches zero precipitously for short contour length.