TY - JOUR

T1 - Diffusion-controlled reaction, A+B→C, with initially separated reactants

AU - Havlin, S.

AU - Araujo, M.

AU - Larralde, H.

AU - Stanley, H. E.

AU - Trunfio, P.

PY - 1992/12/15

Y1 - 1992/12/15

N2 - We review recent developments in the study of diffusion-reaction systems of the type A+B→C in which reactants are initially separated. We consider two initial boundary conditions: (i) the A and B particles are initially placed uniformly in Euclidean space at x>O and x<0 respectively, and (ii) the A particles are diffusing and inserted at a given site and the B particles are static and distributed uniformly in space. We present analytical and numerical results for both systems. We consider d = 1, 2, 3 dimensional systems as well as fractal lattices.

AB - We review recent developments in the study of diffusion-reaction systems of the type A+B→C in which reactants are initially separated. We consider two initial boundary conditions: (i) the A and B particles are initially placed uniformly in Euclidean space at x>O and x<0 respectively, and (ii) the A particles are diffusing and inserted at a given site and the B particles are static and distributed uniformly in space. We present analytical and numerical results for both systems. We consider d = 1, 2, 3 dimensional systems as well as fractal lattices.

UR - http://www.scopus.com/inward/record.url?scp=0004889590&partnerID=8YFLogxK

U2 - 10.1016/0378-4371(92)90519-V

DO - 10.1016/0378-4371(92)90519-V

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AN - SCOPUS:0004889590

SN - 0378-4371

VL - 191

SP - 143

EP - 152

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-4

ER -