Published December 13, 2002
| Version v1
Journal article
Perturbation theory for the one-dimensional trapping reaction
Creators
- 1. Department of Physics and Astronomy, University of Manchester, Manchester (United Kingdom)
Description
We consider the survival probability of a particle in the presence of a finite number of diffusing traps in one dimension. Since the general solution for this quantity is not known when the number of traps is greater than two, we devise a perturbation series expansion in the diffusion constant of the particle. We calculate the persistence exponent associated with the particle's survival probability to second order and find that it is characterized by the asymmetry in the number of traps initially positioned on each side of the particle
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/35/10503/a24901.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/35/10503/a24901.pdf; http://www.iop.org/;
- PII
- S0305-4470(02)52685-8;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 35
- Journal Issue
- 49
- Journal Page Range
- p. 10503-10518
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 34023267
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASYMMETRY; DIFFUSION; ONE-DIMENSIONAL CALCULATIONS; PERTURBATION THEORY; RANDOMNESS; SERIES EXPANSION; THERMODYNAMICS; TRAPPING