In recent works it has been demonstrated that using an appropriate rescaling, linear Boltzmann-type equations give rise to a scalar fractional diffusion equation in the limit of a small mean free path. The equilibrium distributions are typically heavy-tailed distributions, but also classical Gaussian equilibrium distributions allow for this phenomena if combined with a degenerate collision freq...

The transport phenomenon in many engineering applications is dominated by multi-component diffusion. Examples include low-pressure chemical vapor deposition, mass transport in gas diffusion layers in fuel cells, and transport of chemicals in biomedical devices. With increasing interest in small-scale devices, diffusion dominated (i.e., low Peclet number) transport is likely to become more impor...

We examined the influence of intracellular diffusion of O(2) and high-energy phosphate (HEP) molecules on the scaling with body mass of the post-exercise whole-animal rate of O(2) consumption (V(O(2))) and muscle arginine phosphate (AP) resynthesis rate, as well as muscle citrate synthase (CS) activity, in three groups of tail-flipping crustaceans. Two size classes in each of three taxa (Palaem...