The Ising Model on the Random Planar Causal Triangulation: Bounds on the Critical Line and Magnetization Properties
(2016) In Journal of Statistical Physics- Abstract
- We investigate a Gibbs (annealed) probability measure defined on Ising spin configurations on causal triangulations of the plane. We study the region where such measure can be defined and provide bounds on the boundary of this region (critical line). We prove that for any finite random triangulation the magnetization of the central spin is sensitive to the boundary conditions. Furthermore, we show that in the infinite volume limit, the magnetization of the central spin vanishes for values of the temperature high enough.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/8512174
- author
- Napolitano, George LU and Turova, Tatyana LU
- organization
- publishing date
- 2016
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Statistical Physics
- publisher
- Springer
- external identifiers
-
- scopus:84955448710
- wos:000371086600010
- ISSN
- 1572-9613
- DOI
- 10.1007/s10955-015-1430-7
- language
- English
- LU publication?
- yes
- additional info
- The article was published First Online: 21 December 2015
- id
- d8cd13da-1402-4c71-8e33-7694c3027e87 (old id 8512174)
- date added to LUP
- 2016-04-01 11:14:14
- date last changed
- 2022-04-05 01:07:12
@article{d8cd13da-1402-4c71-8e33-7694c3027e87, abstract = {{We investigate a Gibbs (annealed) probability measure defined on Ising spin configurations on causal triangulations of the plane. We study the region where such measure can be defined and provide bounds on the boundary of this region (critical line). We prove that for any finite random triangulation the magnetization of the central spin is sensitive to the boundary conditions. Furthermore, we show that in the infinite volume limit, the magnetization of the central spin vanishes for values of the temperature high enough.}}, author = {{Napolitano, George and Turova, Tatyana}}, issn = {{1572-9613}}, language = {{eng}}, publisher = {{Springer}}, series = {{Journal of Statistical Physics}}, title = {{The Ising Model on the Random Planar Causal Triangulation: Bounds on the Critical Line and Magnetization Properties}}, url = {{http://dx.doi.org/10.1007/s10955-015-1430-7}}, doi = {{10.1007/s10955-015-1430-7}}, year = {{2016}}, }