The p-adic potts model on the cayley tree of order three
We study a phase transition problem for the q-state p-adic Potts model on the Cayley tree of order three. We find certain conditions for the existence of p-adic Gibbs measures and then establish the existence of a phase transition.
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Springer Link
2013
|
Subjects: | |
Online Access: | http://irep.iium.edu.my/32222/1/mfha-TMPh%282013%29.pdf |
_version_ | 1796878226223529984 |
---|---|
author | Mukhamedov, Farrukh Akin, Hasan |
author_facet | Mukhamedov, Farrukh Akin, Hasan |
author_sort | Mukhamedov, Farrukh |
collection | IIUM |
description | We study a phase transition problem for the q-state p-adic Potts model on the Cayley tree of order three.
We find certain conditions for the existence of p-adic Gibbs measures and then establish the existence of
a phase transition. |
first_indexed | 2024-03-05T23:18:29Z |
format | Article |
id | oai:generic.eprints.org:32222 |
institution | International Islamic University Malaysia |
language | English |
last_indexed | 2024-03-05T23:18:29Z |
publishDate | 2013 |
publisher | Springer Link |
record_format | dspace |
spelling | oai:generic.eprints.org:322222013-12-14T07:52:22Z http://irep.iium.edu.my/32222/ The p-adic potts model on the cayley tree of order three Mukhamedov, Farrukh Akin, Hasan QA Mathematics QC Physics We study a phase transition problem for the q-state p-adic Potts model on the Cayley tree of order three. We find certain conditions for the existence of p-adic Gibbs measures and then establish the existence of a phase transition. Springer Link 2013-09 Article PeerReviewed application/pdf en http://irep.iium.edu.my/32222/1/mfha-TMPh%282013%29.pdf Mukhamedov, Farrukh and Akin, Hasan (2013) The p-adic potts model on the cayley tree of order three. Theoretical and Mathematical Physics, 176 (3). pp. 1267-1279. ISSN 0040-5779 http://link.springer.com/journal/volumesAndIssues/11232 10.1007/s11232-013-0105-2 |
spellingShingle | QA Mathematics QC Physics Mukhamedov, Farrukh Akin, Hasan The p-adic potts model on the cayley tree of order three |
title | The p-adic potts model on the cayley tree of order three |
title_full | The p-adic potts model on the cayley tree of order three |
title_fullStr | The p-adic potts model on the cayley tree of order three |
title_full_unstemmed | The p-adic potts model on the cayley tree of order three |
title_short | The p-adic potts model on the cayley tree of order three |
title_sort | p adic potts model on the cayley tree of order three |
topic | QA Mathematics QC Physics |
url | http://irep.iium.edu.my/32222/1/mfha-TMPh%282013%29.pdf |
work_keys_str_mv | AT mukhamedovfarrukh thepadicpottsmodelonthecayleytreeoforderthree AT akinhasan thepadicpottsmodelonthecayleytreeoforderthree AT mukhamedovfarrukh padicpottsmodelonthecayleytreeoforderthree AT akinhasan padicpottsmodelonthecayleytreeoforderthree |