On some Harris-FKG type correlation inequalities for a non-attractive model

Authors
Takahashi, S Tretyakov, AY Konno, N
Citation
S. Takahashi et al., On some Harris-FKG type correlation inequalities for a non-attractive model, J STAT PHYS, 102(5-6), 2001, pp. 1429-1438
Citations number
9
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
102
Issue
5-6
Year of publication
2001
Pages
1429 - 1438
Database
ISI
SICI code
0022-4715(200103)102:5-6<1429:OSHTCI>2.0.ZU;2-4
Abstract
We consider the following non-attractive one-dimensional model whose evolut ion is given by xi (n+1)(x) = xi (n)(x + 1) + xi (n)(x - 1) (mod 2) with pr obability p, = 0 with probability 1 - p. In the present letter, we prove th at some Harris-FKG type correlation inequalities hold for this model. Moreo ver it is shown that a correlation inequality is also correct for the more general non-attractive class.