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...
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2016
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| Online Access: | 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 http://irep.iium.edu.my/51153/ http://scitation.aip.org/content/aip/proceeding/aipcp/1750?ver=pdfcov http://dx.doi.org/10.1063/1.4954524 |
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my.iium.irep.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 Conference or Workshop Item REM 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 |
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QA Mathematics Jamil, Hakim Pah, Chin Hee Exact solution for an Ising model on the Cayley tree of order |
| 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 |
| format |
Conference or Workshop Item |
| author |
Jamil, Hakim Pah, Chin Hee |
| author_facet |
Jamil, Hakim Pah, Chin Hee |
| author_sort |
Jamil, Hakim |
| title |
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_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_sort |
exact solution for an ising model on the cayley tree of order |
| publisher |
AIP Publishing |
| publishDate |
2016 |
| url |
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 http://irep.iium.edu.my/51153/ http://scitation.aip.org/content/aip/proceeding/aipcp/1750?ver=pdfcov http://dx.doi.org/10.1063/1.4954524 |
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