Cyclically coupled spreading and pair annihilation

Haye Hinrichsen

Physica A: Statistical Mechanics and its Applications, 2001, vol. 291, issue 1, 275-286

Abstract: Recently it has been shown that the transition of the (1+1)-dimensional annihilation–fission process 2X→3X, 2X→Ø exhibits an unusual type of nonequilibrium critical behavior. The phenomenological properties of critical clusters are characterized by two different dynamic modes for spreading and diffusion. In order to describe the interplay of these modes, we introduce an effective model which involves two species of particles A and B. The A-particles perform an ordinary directed percolation process while the B particles diffuse and annihilate. Both subsystems are cyclically coupled by particle transmutation A⇌B. The resulting critical behavior is in many respects similar to the one observed in the annihilation–fission process.

Keywords: Dynamical critical phenomena; Non-equilibrium phase transitions (search for similar items in EconPapers)
Date: 2001
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437100005033
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:291:y:2001:i:1:p:275-286

DOI: 10.1016/S0378-4371(00)00503-3

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 ().