Physics – Condensed Matter
Scientific paper
2000-09-19
Physics
Condensed Matter
9 pages, 1 eps figure. submitted to J. Phys. A
Scientific paper
10.1088/0305-4470/34/3/306
We study the effect of a single excluded site on the diffusion of a particle undergoing random walk in a d-dimensional lattice. The determination of the characteristic function allows to find explicitly the asymptotical behaviour of physical quantities such as the particle average position (drift) and the mean square deviation. Contrarily to the one-dimensional case, where the average coordinate diverges at infinite times as t**1/2 and where the diffusion constant D is changed due to the impurity, the effects of the latter are shown to be much less important in higher dimensions: for d=842, the position is simply shifted by a constant and the diffusion constant remains unaltered although dynamical corrections (logarithmic for d=2) still occur. Finally, the continuum space version of the model is analyzed; it is shown that d=1 is the lower dimensionality above which all the effects of the forbidden site are irrelevant.
Aslangul Claude
Martzel Nicolas
No associations
LandOfFree
Effect of a forbidden site on a d-dimensional lattice random walk does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Effect of a forbidden site on a d-dimensional lattice random walk, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effect of a forbidden site on a d-dimensional lattice random walk will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-148101