Trapping and reaction on inhomogeneous structues

Davide Cassi (1)

1 Dipartimento di Fisica

We consider the problem of two chemical species, A and B, undergoing an annihilation process A+B!B, on generic discrete inhomogeneous structures, such as disordered solids, glasses, fractals, polymer networks and gels. Two particular cases are analysed: in the ...st one A is immobile and B is di¤using (targey decay process), in the second one A is di¤using and B is immobile (trapping process). The survival probability of A is analytically calculated in the limit of large times, showing that, while for the target decay it is related to the spectral dimension d of the structure, for the trapping problem it depends, in general, on a different anomalous dimension, we call the exploration dimension.

Mots clés: Physical Sciences

Davide Cassi. Trapping and reaction on inhomogeneous structues. Philosophical Magazine, 2010, pp.1. ⟨10.1080/14786435.2010.534743⟩. ⟨hal-00654135⟩