The Richardson model in a random environment

Xiaolong Luo

Stochastic Processes and their Applications, 1992, vol. 42, issue 2, 283-289

Abstract: Let [xi]t:d-->s{0,2} be such that all coordinates are independent and, in each coordinate, 2 changes to 0 at rate [beta] and 0 changes to 2 at rate 1. A family of particles (1's) move in the space occupied by 0's like Richardson model, i.e., a 0 becomes 1 at a rate proportional to 1-occupied neighbors. We prove the phase transition phenomena for the coexistence of 0's, 1's and 2's.

Keywords: random; environment; reversibility; phase; transition; renormalization (search for similar items in EconPapers)
Date: 1992
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0304-4149(92)90040-W
Full text for ScienceDirect subscribers only

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:spapps:v:42:y:1992:i:2:p:283-289

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().