TY - JOUR
T1 - Reaction-diffusion wave fronts on comblike structures
AU - Campos, Daniel
AU - Méndez, Vicenç
PY - 2005/5/1
Y1 - 2005/5/1
N2 - 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. © 2005 The American Physical Society.
AB - 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. © 2005 The American Physical Society.
U2 - 10.1103/PhysRevE.71.051104
DO - 10.1103/PhysRevE.71.051104
M3 - Article
SN - 1539-3755
VL - 71
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
M1 - 051104
ER -