Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction–diffusion processes are widely used to model such behaviour ...

Ordering and self-organization are critical in determining the dynamics of reaction-diffusion systems. Here we show a unique pattern formation mechanism, dictated by the coupling of thermodynamic ...

A drop of dye added to a glass of water undergoes ordinary diffusion. However, when placed on the surface of a foam, the dye ...

Porous media play a critical role in various industrial fields due to their complex pore networks and considerable specific surface areas. The transport and reaction phenomena within porous media are ...

What do chemical reactions, epidemics and vegetation have in common? More than you might think, says mathematician Mark van ...