Giant Enhancement of Diffusion in a Tilted Egg-Carton Potential

Diffusion of a particle on a tilted periodic surface such as the egg-carton potential is investigated using Langevin Monte Carlo simulations. It is found that the effective diffusion coefficient of the particle related to the one-dimensional case can be greatly enhanced, when the local minima of such potential along the x and y directions are close to vanishing. A relation between the group diffusion and the phase diffusion is used to analyze the enhancement mechanism of the diffusion.