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Generic Ising Trees

Durhuus, Bergfinnur and Napolitano, George LU (2012) In Journal of Physics A: Mathematical and Theoretical 45. p.25-185004
Abstract
The Ising model on a class of infinite random trees is defined as a

thermodynamic limit of finite systems. A detailed description of the

corresponding distribution of infinite spin configurations is given. As an application, we study the magnetization properties of such systems and prove that they exhibit no spontaneous magnetization. Furthermore, the values of the Hausdorff and spectral dimensions of the underlying trees are calculated and found to be, respectively,̄dh=2 and ̄ds=4/3.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Physics A: Mathematical and Theoretical
volume
45
pages
25 - 185004
publisher
IOP Publishing
external identifiers
  • scopus:84860351036
ISSN
1751-8113
DOI
10.1088/1751-8113/45/18/185004
language
English
LU publication?
no
id
da8df796-e33e-4deb-9a09-dad4b08a3443 (old id 4123935)
alternative location
http://arxiv.org/abs/1107.2964v2
date added to LUP
2013-11-14 15:25:34
date last changed
2017-01-01 03:02:15
@article{da8df796-e33e-4deb-9a09-dad4b08a3443,
  abstract     = {The Ising model on a class of infinite random trees is defined as a<br/><br>
thermodynamic limit of finite systems. A detailed description of the<br/><br>
corresponding distribution of infinite spin configurations is given. As an application, we study the magnetization properties of such systems and prove that they exhibit no spontaneous magnetization. Furthermore, the values of the Hausdorff and spectral dimensions of the underlying trees are calculated and found to be, respectively,̄dh=2 and ̄ds=4/3.},
  author       = {Durhuus, Bergfinnur and Napolitano, George},
  issn         = {1751-8113},
  language     = {eng},
  pages        = {25--185004},
  publisher    = {IOP Publishing},
  series       = {Journal of Physics A: Mathematical and Theoretical},
  title        = {Generic Ising Trees},
  url          = {http://dx.doi.org/10.1088/1751-8113/45/18/185004},
  volume       = {45},
  year         = {2012},
}