TY - JOUR
T1 - Reaction kinetics of diffusing particles injected into a d-dimensional reactive substrate
AU - Larralde, H.
AU - Lereah, Y.
AU - Trunfio, P.
AU - Dror, J.
AU - Havlin, S.
AU - Rosenbaum, R.
AU - Stanley, H. E.
PY - 1993
Y1 - 1993
N2 - We study a system in which diffusing particles (species A) are injected into a reactive d-dimensional substrate (species B) at rate , with the rule that A+BC (inert). The amount of species C, C(t), and the number of surviving A particles, A(t), are calculated for substrate dimensions d=1, 2, and 3. We find the surprising results A(t)t2/3 for d=3 and C(t)t lnt for d=1. We confirm our predictions by performing Monte Carlo simulations for d=1, 2, and 3 and experiments for the reaction I2(gas)+2Ag(solid)2AgI(solid) for d=2.
AB - We study a system in which diffusing particles (species A) are injected into a reactive d-dimensional substrate (species B) at rate , with the rule that A+BC (inert). The amount of species C, C(t), and the number of surviving A particles, A(t), are calculated for substrate dimensions d=1, 2, and 3. We find the surprising results A(t)t2/3 for d=3 and C(t)t lnt for d=1. We confirm our predictions by performing Monte Carlo simulations for d=1, 2, and 3 and experiments for the reaction I2(gas)+2Ag(solid)2AgI(solid) for d=2.
UR - http://www.scopus.com/inward/record.url?scp=4243445893&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.70.1461
DO - 10.1103/PhysRevLett.70.1461
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AN - SCOPUS:4243445893
SN - 0031-9007
VL - 70
SP - 1461
EP - 1464
JO - Physical Review Letters
JF - Physical Review Letters
IS - 10
ER -