We study both the longitudinal and transverse fluctuations of a semiflexible filament. Using scaling arguments and numerical simulations, we find several regimes for the longitudinal fluctuations which, for short times, scale as 〈δr_²〉~t7/8 and are correlated over a length l₂~t1/8. Our results are pertinent to experiments on cross-linked filament systems and motor-filament assays. The techniques we develop for the analysis of dynamic correlations should have wide applications in the study of polymer systems.
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Everaers et al. (1999) studied this question.
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