Scaling behavior of diffusion limited annihilation reactions on random media

Autor:	Édler L. de Albuquerque, Marcelo L. Lyra
Rok vydání:	1996
Předmět:	Annihilation Condensed matter physics Chemistry Lattice (order) Kinetics General Physics and Astronomy Singlet state Physical and Theoretical Chemistry Power law Scaling Molecular physics Excitation Exponential function
Zdroj:	The Journal of Chemical Physics. 105:5945-5948
ISSN:	1089-7690 0021-9606
DOI:	10.1063/1.472452
Popis:	We investigate numerically the kinetics of diffusion limited annihilation reactions in disordered binary square lattices where the reacting particles are constrained to diffuse on a concentration p of the lattice sites. We find that the asymptotic decay of the particle concentration in the percolative regime is of the form c(t,p)−cr(p)∝t−ds/2, where cr(p) is the concentration of residual particles. We recover well known results such as ds(p≳pc)=d=2 with logarithmic corrections, and ds(pc)=1.34±0.02. For p
Databáze:	OpenAIRE
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