  We develop a scaling theory to describe dynamic fluctuations of a
semiflexible polymer and find several distinct regimes. We performed
simulations to characterize the longitudinal and transverse dynamics; using
ensemble averaging for a range of different degrees of coarse-graining we avoid
the problems of slow equilibration often encountered in simulations. We find
that the longitudinal fluctuations of a semiflexible object scales as t^7/8.
These fluctuations are correlated over a length which varies as t^1/8. Our
results are pertinent to the interpretation of high frequency microrheology
experiments in actin solutions.
