Published February 14, 2007
| Version v1
Journal article
Langevin dynamics of A+A reactions in one dimension
- 1. Departament d'Estructura i Constituents de la Materia, Facultat de Fisica, Universitat de Barcelona, Diagonal 647, E-08028 Barcelona (Spain)
- 2. Cinvestav-Queretaro, Libramiento Norponiente No 2000, Real de Juriquilla, 76230 Queretaro, Qro (Mexico)
- 3. Departament de Fisica Aplicada, Universitat Politecnica de Catalunya, Avenida Doctor Maranon 44, E-08028 Barcelona (Spain)
- 4. Department of Chemistry and Biochemistry 0340 and Institute for Nonlinear Science, University of California, San Diego, La Jolla, CA 92093-0340 (United States)
Description
We propose a set of Langevin equations of motion together with a reaction rule for the study of binary reactions. Our scheme is designed to address this problem for arbitrary friction γ and temperature T. It easily accommodates the inclusion of a substrate potential, and it lends itself to straightforward numerical integration. We test this approach on diffusion-limited (γ → ∞) as well as ballistic (γ = 0) A+A → P reactions for which there are extensive exact and approximate theoretical results as well as extensive Monte Carlo results. We reproduce the known results using our integration scheme, and also present new results for the ballistic reactions
Additional details
Identifiers
- DOI
- 10.1088/0953-8984/19/6/065108;
- PII
- S0953-8984(07)30012-X;
Publishing Information
- Journal Title
- Journal of Physics. Condensed Matter
- Journal Volume
- 19
- Journal Issue
- 6
- Journal Page Range
- p. 065108
- ISSN
- 0953-8984
- CODEN
- JCOMEL
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38080834
- Subject category
- S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
- Descriptors DEI
- DIFFUSION; FRICTION; LANGEVIN EQUATION; MONTE CARLO METHOD; POTENTIALS; SUBSTRATES
- Descriptors DEC
- CALCULATION METHODS; EQUATIONS