Generic Ising Trees
(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:
https://lup.lub.lu.se/record/4123935
- author
- Durhuus, Bergfinnur and Napolitano, George LU
- publishing date
- 2012
- 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
- 2016-04-01 09:50:08
- date last changed
- 2022-01-25 17:07:30
@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}},
doi = {{10.1088/1751-8113/45/18/185004}},
volume = {{45}},
year = {{2012}},
}