FRACTAL BROWNIAN-MOTION AND NUCLEAR-SPIN ECHOES

It is well known that spin echo experiments can measure the diffusion coefficient D of classical Brownian motion for which [Delta x(t)(2)] = 2D\t\. There has been considerable recent interest in fractal Brownian motion in which case [Delta x(t)(2)] = 2D(nu)\t\((1-nu)), where -1 < nu < 1 is the fractal exponent. The spin echo damping implications of fractal diffusion are derived.