Linear and fractal diffusion coefficients in a family of one-dimensional chaotic maps
Linear and fractal diffusion coefficients in a family of one-dimensional chaotic maps
We analyse deterministic diffusion in a simple, one-dimensional setting consisting of a family of four parameter dependent, chaotic maps defined over the real line. When iterated under these maps, a probability density function spreads out and one can define a diffusion coefficient. We look at how the diffusion coefficient varies …