Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 40, Issue 36, Pages 10951-10964Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/40/36/001
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We present a revised theoretical study of statistical properties of semiflexible filaments. Using a single auxiliary field and mean-field theory, we succeed in obtaining the exact analytical results for force-extension relations for a chain with arbitrary stiffness, and compare it with earlier theories and experiment. At a small persistence-to-contour length ratio, l(p)/L << 1 the chain behaves classically, as an entropic spring. However, we find a critical value for L/l(p) approximate to 3.0 in 3D (or L/l(p) approximate to 5.4 in 2D) above which the restoring force of the chain becomes negative for the end-to-end distance R-3D/L
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