On the existence of phase transition for the 1D p-Adic countable state potts models
In the present paper we establish the existence of a phase transition for one-dimensional the countable state p-adic Potts model. To establish such results, we investigate an infinite dimensional nonlinear p-adic operator associated with the model. It turns out that the finding condition does not...
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| Format: | Article |
| Language: | English English |
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Pleiades Publishing
2015
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| Online Access: | http://irep.iium.edu.my/44199/ http://irep.iium.edu.my/44199/ http://irep.iium.edu.my/44199/ http://irep.iium.edu.my/44199/1/mf-MathNotes-2015.pdf http://irep.iium.edu.my/44199/4/44199_On%20the%20existence%20of%20phase%20transition%20for%20the%201D%20p-Adic%20countable%20state%20potts%20models_SCOPUS.pdf |
| Summary: | In the present paper we establish the existence of a phase transition for one-dimensional
the countable state p-adic Potts model. To establish such results, we investigate an infinite
dimensional nonlinear p-adic operator associated with the model. It turns out that the finding
condition does not depend on values of the prime p, and therefore, an analogous fact is not true
when the number of spins is finite. |
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