Thermal bending fluctuations of a clamped filament
= Thermal bending fluctuations of a clamped filament
A clamped filament of <length> $L$ and bending modulus $A$ has equilibrium tip <variance> $k_BT L^3/(3A)$. Under local transverse viscous drag, each bending mode relaxes exponentially at a rate proportional to its fourth power of wavenumber.