Lévy dynamics of enhanced diffusion: Application to turbulence

We introduce a stochastic process called a L\'evy walk which is a random walk with a nonlocal memory coupled in space and in time in a scaling fashion. L\'evy walks result in enhanced diffusion, i.e., diffusion that grows as ${\mathrm{t}}^{\mathrm{\ensuremath{\alpha}}}$,\ensuremath{\alpha}>1. When a... View More