Nearest-neighbor distances in diffusion-controlled reactions modelled by a single mobile trap

Rodney Schoonover, Daniel Ben-Avraham, Shlomo Havlin, Raoul Kopelman and George H. Weiss

Physica A: Statistical Mechanics and its Applications, 1991, vol. 171, issue 2, 232-238

Abstract: We consider a system consisting of an infinite number of identical particles on a lattice initially uniformly distributed, which diffuese in the presence of a singke mobile trap and ask for the time-dependent behavior of the distance of the trap from the nearest particle. This quantity is a measure of the tendency of the system to self-segregate. We show, by a simulation incorporating the exact enumeration method, that in one dimension the expected distance 〈L(t)〉 scales as 〈L(t)〉≈tα as t→∞, where the exponent α depends only on the ratio of the diffusion constant. A heuristic expression for α is suggested, analogous to a rigorous exponent found by ben-Avraham for a similar but not identical problem. The flux into the trap is found to vary as t−12 independent of the diffusion constants.

Date: 1991
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719190275H
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:171:y:1991:i:2:p:232-238

DOI: 10.1016/0378-4371(91)90275-H

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().