TY - JOUR

T1 - Asymptotic behavior of densities in diffusion-dominated annihilation reactions

AU - Bramson, Maury

AU - Lebowitz, Joel L.

PY - 1988/1/1

Y1 - 1988/1/1

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

VL - 61

SP - 2397

EP - 2400

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 21

ER -