ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE
2005 ◽
Vol 08
(02)
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pp. 277-290
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Keyword(s):
We consider a nearest-neighbor inhomogeneous p-adic Potts (with q≥2 spin values) model on the Cayley tree of order k≥1. The inhomogeneity means that the interaction Jxy couplings depend on nearest-neighbors points x, y of the Cayley tree. We study (p-adic) Gibbs measures of the model. We show that (i) if q∉pℕ then there is unique Gibbs measure for any k≥1 and ∀ Jxy with | Jxy |< p-1/(p -1). (ii) For q∈p ℕ, p≥3 one can choose Jxy and k≥1 such that there exist at least two Gibbs measures which are translation-invariant.
2015 ◽
Vol 18
(01)
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pp. 1550006
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Keyword(s):
2015 ◽
Vol 18
(1)
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2006 ◽
Vol 09
(03)
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pp. 471-488
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Keyword(s):
2018 ◽
Vol 196
(1)
◽
pp. 1043-1058
2017 ◽
Vol 31
(13)
◽
pp. 1750093
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Keyword(s):
2016 ◽
Vol 189
(2)
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pp. 1651-1659
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2014 ◽
Vol 156
(1)
◽
pp. 189-200
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2016 ◽
Vol 15
(2)
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pp. 239-255
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