Reaction-diffusion wave fronts on comblike structures
Campos, Daniel (Universitat Autònoma de Barcelona. Departament de Física)
Méndez López, Vicenç (Universitat Autònoma de Barcelona. Departament de Física)
Data: |
2005 |
Resum: |
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. |
Drets: |
Tots els drets reservats. |
Llengua: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Publicat a: |
Physical review. E : Statistical, nonlinear, and soft matter physics, Vol. 71, Number 5 (May 2005) , p. 051104/1-051104/6, ISSN 1539-3755 |
DOI: 10.1103/PhysRevE.71.051104
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