Reaction-diffusion wave fronts on comblike structures.
From the Hamilton-Jacobi formalism, an explicit expression for the speed of wave front propagation along the backbone of comblike structures is obtained. This expression, through the waiting-time distribution function, takes into account the number of sites and their distribution in the secondary branches. Our theoretical results are supported by numerical simulations of the reaction random-walk process on the structure. Finally, a more complex situation such as the Peano basin structure is also considered, both theoretically and numerically, exhibiting a good agreement too.
Campos
Daniel
D
Grup de Física Estadística, Dept. de Física, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain.
Méndez
Vicenç
V