EconPapers    
Economics at your fingertips  
 

Smoluchowski-like theory for trapping kinetics in a slab

Leonardo Dagdug, Alexander M. Berezhkovskii and George H. Weiss

Physica A: Statistical Mechanics and its Applications, 2003, vol. 318, issue 3, 341-346

Abstract: The theory of diffusion-limited reactions is traditionally developed in terms of unconstrained diffusion in an unbounded volume. The Smoluchowski mean-field theory predicts an exponential decay of the survival probability for particles that diffuse among randomly placed static traps. This means that the ensemble of traps may be considered as a uniform absorbing continuum. It is shown that this picture is also correct in the case of constrained diffusion, more specifically for diffusion in a slab constrained by two parallel absorbing planes.

Keywords: Constrained Brownian motion; Wiener sausage volume; Path integral (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437102013808
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:318:y:2003:i:3:p:341-346

DOI: 10.1016/S0378-4371(02)01380-8

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 ().

 
Page updated 2025-03-19
Handle: RePEc:eee:phsmap:v:318:y:2003:i:3:p:341-346