A class of solvable reaction–diffusion processes on a Cayley tree

M. Alimohammadi and N. Olanj

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 8, 1549-1554

Abstract: Considering the most general one-species reaction–diffusion processes on a Cayley tree, it has been shown that there exist two integrable models. In the first model, the reactions are the various creation processes, i.e. ∘∘→•∘, ∘∘→•• and ∘•→••, and in the second model, only the diffusion process •∘→∘• exists. For the first model, the probabilities Pl(m;t), of finding m particles on the lth shell of the Cayley tree, have been found exactly, and for the second model, the functions Pl(1;t) have been calculated. It has been shown that these are the only integrable models if one restricts consideration to the L+1-shell probabilities P(m0,m1,…,mL;t).

Keywords: Reaction–diffusion processes; Cayley tree; Integrable models (search for similar items in EconPapers)
Date: 2010
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437109010590
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:389:y:2010:i:8:p:1549-1554

DOI: 10.1016/j.physa.2009.12.045

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 ().