全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
Mathematics  2008 

Phase Transition in the 1d Random Field ising model with long range interaction

DOI: 10.1007/s00220-009-0778-4

Full-Text   Cite this paper   Add to My Lib

Abstract:

We study the one dimensional Ising model with ferromagnetic, long range interaction which decays as |i-j|^{-2+a}, 1/2< a<1, in the presence of an external random filed. we assume that the random field is given by a collection of independent identically distributed random variables, subgaussian with mean zero. We show that for temperature and strength of the randomness (variance) small enough with P=1 with respect to the distribution of the random fields there are at least two distinct extremal Gibbs measures.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133