The Potts model with countable set of spin values on a Cayley tree
We consider a nearest-neighbor Potts model, with countable spin values 0, 1, . . .,and non zero external field, on a Cayley tree of order k (with k+1 neighbors). We study translation-invariant ‘splitting’ Gibbs measures. We reduce the problem to the description of the solutions of some infinite sys...
Main Authors: | Ganikhodjaev, Nasir, Rozikov, Utkir Abdulloevich |
---|---|
Format: | Article |
Language: | English |
Published: |
Springer Netherlands
2006
|
Subjects: | |
Online Access: | http://irep.iium.edu.my/14417/ http://irep.iium.edu.my/14417/ http://irep.iium.edu.my/14417/ http://irep.iium.edu.my/14417/1/gnnru_lmp%2806%29%5B1%5D.pdf |
Similar Items
-
Limiting Gibbs measures of Potts model with countable set of spin values
by: Ganikhodjaev, Nasir
Published: (2007) -
On Ising model with four competing interactions on Cayley tree
by: Ganikhodjaev, Nasir, et al.
Published: (2009) -
On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree
by: Khrennikov, Andrei, et al.
Published: (2009) -
Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree
by: Mukhamedov, Farrukh
Published: (2012) -
Two Potts Models on Cayley Tree of Arbitrary Order
by: Ganikhodjaev, Nasir, et al.
Published: (2012)