Explicit examples of scalar enhanced diffusion due to resonances between different transport mechanisms are presented. Their signature is provided by the sharp and narrow peaks observed in the effective diffusivity coefficients and, in the absence of molecular diffusion, by anomalous transport. For the time-dependent flow considered here, resonances arise between their oscillations in time and ...

Diffusion, derived from the Latin word diffundere meaning to spread out, is a mass transport phenomenon in both fluids (without requiring bulk fluid motion) and solids. Both macroscopic or phenomenological and microscopic or atomistic and molecular approaches are employed to introduce the concept of diffusion. According to the former approach, the diffusion transport goes from regions of high c...

Molecular communication emerges as a promising communication paradigm for nanotechnology. However, solid mathematical foundations for information-theoretic analysis of molecular communication have not yet been built. In particular, no one has ever proven that the channel coding theorem applies to molecular communication, and no relationship between information rate capacity (maximum mutual info...