TY - JOUR
T1 - Spatio-Temporal Properties of Diffusive Systems with a Mobile Imperfect Trap
AU - Koza, Z
AU - Taitelbaum, H.
PY - 1998
Y1 - 1998
N2 - We study analytically a one-dimensional system initially uniformly filled with diffusing particles A, and a single imperfect mobile trap T initially located at the origin, x=0. For arbitrary values of diffusion constants DA and DT, and any trapping rate constant V, we calculate exactly the total rate of trapping as well as the asymptotic concentration of A's at x=0. For DA=DT we also analytically derive the local rate of trapping and the concentration of A's at any point x. Characteristic length scales and extensions to higher dimensions are also discussed.
AB - We study analytically a one-dimensional system initially uniformly filled with diffusing particles A, and a single imperfect mobile trap T initially located at the origin, x=0. For arbitrary values of diffusion constants DA and DT, and any trapping rate constant V, we calculate exactly the total rate of trapping as well as the asymptotic concentration of A's at x=0. For DA=DT we also analytically derive the local rate of trapping and the concentration of A's at any point x. Characteristic length scales and extensions to higher dimensions are also discussed.
UR - http://journals.aps.org/pre/abstract/10.1103/PhysRevE.57.237
M3 - Article
VL - 57
SP - 237
EP - 243
JO - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
ER -