Abstract
We study the effects of asymmetric bending and twist rigidities and of spontaneous curvature and twist, on the statistical mechanics of fluctuating ribbons. Using a combination of Monte Carlo and differential geometry methods we perform computer simulations and calculate the probability density of the end-to-end distance of a ribbon. We find that for rectilinear ribbons of asymmetric cross section and for spontaneously curved rods with circular cross section, the distribution of end-to-end distance (but not its mean square) is affected by twist rigidity and by spontaneous twist. Possible relevance of these effects to the physics of DNA is discussed.
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