  
  
Stat 
Members: 2831 Articles: 1'983'807 Articles rated: 2574
11 August 2020 

   

Article overview
 

FredricksonAndersen one spin facilitated model out of equilibrium  Oriane Blondel
; Nicoletta Cancrini
; Fabio Martinelli
; Cyril Roberto
; Cristina Toninelli
;  Date: 
21 May 2012  Abstract:  We consider the Fredrickson and Andersen one spin facilitated model (FA1f) on
an infinite connected graph with polynomial growth. Each site with rate one
refreshes its occupation variable to a filled or to an empty state with
probability $pin[0,1]$ or $q=1p$ respectively, provided that at least one of
its nearest neighbours is empty. We study the nonequilibrium dynamics started
from an initial distribution $
u$ different from the stationary product
$p$Bernoulli measure $mu$. We assume that, under $
u$, the mean distance
between two nearest empty sites is uniformly bounded. We then prove convergence
to equilibrium when the vacancy density $q$ is above a proper threshold $ar
q<1$. The convergence is exponential or stretched exponential, depending on the
growth of the graph. In particular it is exponential on $bZ^d$ for $d=1$ and
stretched exponential for $d>1$. Our result can be generalized to other non
cooperative models.  Source:  arXiv, 1205.4584  Services:  Forum  Review  PDF  Favorites 


No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

 



 News, job offers and information for researchers and scientists:
 