Exact solution for an Ising model on the Cayley tree of order
We investigate an Ising model with two restricted competing interactions (nearest neighbors, and one-level neighbors) on the Cayley tree of order 5. The translation Gibbs measures is considered for this model. Our result of the critical curve shows that the phase transition occurs in this model, f...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English English English |
| Published: |
AIP Publishing
2016
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/51153/ http://irep.iium.edu.my/51153/1/1.4954524.pdf http://irep.iium.edu.my/51153/4/51153_exact_solution_preface.pdf http://irep.iium.edu.my/51153/7/51153_Exact%20solution%20for%20an%20Ising%20model_scopus.pdf |
| _version_ | 1848783795511099392 |
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| author | Jamil, Hakim Pah, Chin Hee |
| author_facet | Jamil, Hakim Pah, Chin Hee |
| author_sort | Jamil, Hakim |
| building | IIUM Repository |
| collection | Online Access |
| description | We investigate an Ising model with two restricted competing interactions (nearest neighbors, and
one-level neighbors) on the Cayley tree of order 5. The translation Gibbs measures is considered for this
model. Our result of the critical curve shows that the phase transition occurs in this model, further it confirms
a particular case of a conjecture |
| first_indexed | 2025-11-14T16:27:02Z |
| format | Proceeding Paper |
| id | iium-51153 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T16:27:02Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-511532017-03-13T14:12:36Z http://irep.iium.edu.my/51153/ Exact solution for an Ising model on the Cayley tree of order Jamil, Hakim Pah, Chin Hee QA Mathematics We investigate an Ising model with two restricted competing interactions (nearest neighbors, and one-level neighbors) on the Cayley tree of order 5. The translation Gibbs measures is considered for this model. Our result of the critical curve shows that the phase transition occurs in this model, further it confirms a particular case of a conjecture AIP Publishing 2016-06-21 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/51153/1/1.4954524.pdf application/pdf en http://irep.iium.edu.my/51153/4/51153_exact_solution_preface.pdf application/pdf en http://irep.iium.edu.my/51153/7/51153_Exact%20solution%20for%20an%20Ising%20model_scopus.pdf Jamil, Hakim and Pah, Chin Hee (2016) Exact solution for an Ising model on the Cayley tree of order. In: 2015 National Symposium of Mathematical Sciences, 24–26 November 2015, Johor Bahru, Malaysia. http://scitation.aip.org/content/aip/proceeding/aipcp/1750?ver=pdfcov http://dx.doi.org/10.1063/1.4954524 |
| spellingShingle | QA Mathematics Jamil, Hakim Pah, Chin Hee Exact solution for an Ising model on the Cayley tree of order |
| title | Exact solution for an Ising model on the Cayley tree of order |
| title_full | Exact solution for an Ising model on the Cayley tree of order |
| title_fullStr | Exact solution for an Ising model on the Cayley tree of order |
| title_full_unstemmed | Exact solution for an Ising model on the Cayley tree of order |
| title_short | Exact solution for an Ising model on the Cayley tree of order |
| title_sort | exact solution for an ising model on the cayley tree of order |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/51153/ http://irep.iium.edu.my/51153/ http://irep.iium.edu.my/51153/ http://irep.iium.edu.my/51153/1/1.4954524.pdf http://irep.iium.edu.my/51153/4/51153_exact_solution_preface.pdf http://irep.iium.edu.my/51153/7/51153_Exact%20solution%20for%20an%20Ising%20model_scopus.pdf |