Reaction Spreading in Systems With Anomalous Diffusion

Nepomnyashchy reaction systems − Fronts in anomalous diffusion

Supplementary data rsta.2012.0179.DC1.html http://rsta.royalsocietypublishing.org/content/suppl/2012/11/23/ "Presentation at Turbulent Mixing and Beyond conference" References 79.full.html#ref-list-1 http://rsta.royalsocietypublishing.org/content/371/1982/201201 This article cites 62 articles Subject collections (52 articles) mathematical physics • collections Articles on similar topics can be...

Excitable front geometry in reaction-diffusion systems with anomalous dispersion.

Two-dimensional excitable systems with anomalous dispersion provide a discrete set of interpulse distances for the stable propagation of planar wave trains. Numerical simulations show that the trailing front of a pulse pair can undergo transitions between these stable distances. In response to localized perturbations, the trailing front converges towards one of numerous, sigmoidal shapes. Their...

Anomalous diffusion with linear reaction dynamics: from continuous time random walks to fractional reaction-diffusion equations.

We have revisited the problem of anomalously diffusing species, modeled at the mesoscopic level using continuous time random walks, to include linear reaction dynamics. If a constant proportion of walkers are added or removed instantaneously at the start of each step then the long time asymptotic limit yields a fractional reaction-diffusion equation with a fractional order temporal derivative o...

Anomalous spreading speeds of cooperative recursion systems.

This work presents an example of a cooperative system of truncated linear recursions in which the interaction between species causes one of the species to have an anomalous spreading speed. By this we mean that this species spreads at a speed which is strictly greater than its spreading speed in isolation from the other species and the speeds at which all the other species actually spread. An e...

Pattern formation in reaction-diffusion and reaction-diffusion-convection systems