TY - JOUR
T1 - Asymptotic behavior of densities in diffusion-dominated annihilation reactions
AU - Bramson, Maury
AU - Lebowitz, Joel L.
PY - 1988
Y1 - 1988
N2 - We obtain rigorous bounds on the long-time behavior of the densities A(t) and B(t) of species A and B, which diffuse and annihilate upon meeting, i.e., A+ Binert. For equal initial densities A(0)=B(0), the density goes to zero asymptotically as t-d4 for dimensions d4 and as t-1 for d4. When A(0)<B(0), A(t)exp(-1t), A(t)exp(-2tInt) for d=1,2, respectively,andA(t)exp(-dt) for d 3
AB - We obtain rigorous bounds on the long-time behavior of the densities A(t) and B(t) of species A and B, which diffuse and annihilate upon meeting, i.e., A+ Binert. For equal initial densities A(0)=B(0), the density goes to zero asymptotically as t-d4 for dimensions d4 and as t-1 for d4. When A(0)<B(0), A(t)exp(-1t), A(t)exp(-2tInt) for d=1,2, respectively,andA(t)exp(-dt) for d 3
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U2 - 10.1103/PhysRevLett.61.2397
DO - 10.1103/PhysRevLett.61.2397
M3 - Article
C2 - 10039107
AN - SCOPUS:0001497839
SN - 0031-9007
VL - 61
SP - 2397
EP - 2400
JO - Physical Review Letters
JF - Physical Review Letters
IS - 21
ER -