TY - JOUR

T1 - Nearest Neighbor Distances at a Single Mobile Trap

AU - Koza, Z

AU - Yanir, T

AU - Taitelbaum, H.

PY - 1998

Y1 - 1998

N2 - We consider a one-dimensional system with an infinite number of identical particles A diffusing in the presence of a single diffusing perfect trap B. We study numerically the average distance ⟨l(t)⟩ from the trap to the nearest unreacted A, and confirm the claim that in the long-time limit ⟨l(t)⟩∝tα, where α is an exponent depending on the ratio of diffusivities DA and DB of the particles A and the trap B, respectively. We also confirm the validity of a conjecture for the value of α, but show that it should be limited to a specific choice of the initial distribution of particles A.

AB - We consider a one-dimensional system with an infinite number of identical particles A diffusing in the presence of a single diffusing perfect trap B. We study numerically the average distance ⟨l(t)⟩ from the trap to the nearest unreacted A, and confirm the claim that in the long-time limit ⟨l(t)⟩∝tα, where α is an exponent depending on the ratio of diffusivities DA and DB of the particles A and the trap B, respectively. We also confirm the validity of a conjecture for the value of α, but show that it should be limited to a specific choice of the initial distribution of particles A.

UR - http://journals.aps.org/pre/abstract/10.1103/PhysRevE.58.6821

M3 - Article

VL - 58

SP - 6821

EP - 6823

JO - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

ER -