Potts model with competing interactions on the Cayley tree: The contour method

Theoretical and Mathematical Physics ◽

10.1007/s11232-007-0125-x ◽

2007 ◽

Vol 153 (1) ◽

pp. 1423-1433 ◽

Author(s):

G. I. Botirov ◽

U. A. Rozikov

Keyword(s):

Potts Model ◽

Cayley Tree ◽

Contour Method ◽

Competing Interactions

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Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree

Theoretical and Mathematical Physics ◽

10.1134/s004057792111009x ◽

2021 ◽

Vol 209 (2) ◽

pp. 1633-1642

Author(s):

G. I. Botirov ◽

U. U. Qayumov

Keyword(s):

Potts Model ◽

Cayley Tree ◽

Ground States ◽

Competing Interactions

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Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree

Theoretical and Mathematical Physics ◽

10.1007/s11232-013-0103-4 ◽

2013 ◽

Vol 176 (3) ◽

pp. 1236-1251 ◽

Author(s):

M. M. Rakhmatullaev

Keyword(s):

Potts Model ◽

Cayley Tree ◽

Gibbs Measures ◽

Ground States ◽

Competing Interactions

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On Phase Transitions for p-Adic Potts Model with Competing Interactions on a Cayley Tree

10.1063/1.2193118 ◽

2006 ◽

Author(s):

F. M. Mukhamedov

Keyword(s):

Phase Transitions ◽

Potts Model ◽

Cayley Tree ◽

Competing Interactions

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Paramagnetic phases of four-state Potts model on a Cayley tree in the presence of competing interactions

Phase Transitions ◽

10.1080/01411594.2019.1639700 ◽

2019 ◽

Vol 92 (8) ◽

pp. 730-736

Author(s):

Nasir Ganikhodjaev ◽

Anasbek Rahmatullaev

Keyword(s):

Potts Model ◽

Cayley Tree ◽

Competing Interactions

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New classes of ground states for the Potts model with random competing interactions on a Cayley tree

Theoretical and Mathematical Physics ◽

10.1007/s11232-014-0182-x ◽

2014 ◽

Vol 180 (1) ◽

pp. 827-834 ◽

Author(s):

N. M. Khatamov

Keyword(s):

Potts Model ◽

Cayley Tree ◽

Ground States ◽

Competing Interactions

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The Hamiltonian three-parameter spaces of the q-state Potts model with three competing interactions on a Cayley tree

Journal of the Korean Physical Society ◽

10.3938/jkps.66.1467 ◽

2015 ◽

Vol 66 (10) ◽

pp. 1467-1474 ◽

Author(s):

Selman Uguz ◽

Nasir Ganikhodjaev ◽

Hasan Dogan

Keyword(s):

Potts Model ◽

Cayley Tree ◽

Competing Interactions ◽

Parameter Spaces

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On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree

Journal of Mathematical Physics ◽

10.1063/1.2408398 ◽

2007 ◽

Vol 48 (1) ◽

pp. 013301 ◽

Author(s):

Farrukh Mukhamedov ◽

Utkir Rozikov ◽

José F. F. Mendes

Keyword(s):

Potts Model ◽

Cayley Tree ◽

Competing Interactions

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On Gibbs Measures of the Potts Model with Three Competing Interactions on Cayley Tree of Order 3

Acta Physica Polonica A ◽

10.12693/aphyspola.129.845 ◽

2016 ◽

Vol 129 (4) ◽

pp. 845-848 ◽

Author(s):

H. Akin ◽

H. Saygılı

Keyword(s):

Potts Model ◽

Cayley Tree ◽

Gibbs Measures ◽

Competing Interactions

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Functional equations for the Potts model with competing interactions on a Cayley tree

Nanosystems Physics Chemistry Mathematics ◽

10.17586/2220-8054-2016-7-3-401-404 ◽

2016 ◽

pp. 401-404

Author(s):

G.I. Botirov

Keyword(s):

Potts Model ◽

Functional Equations ◽

Cayley Tree ◽

Competing Interactions

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Phase transition of the Potts model with three competing interactions on Cayley tree of order 3

10.1063/1.4930452 ◽

2015 ◽

Author(s):

Hasan Akın ◽

Halit Saygılı

Keyword(s):

Phase Transition ◽

Potts Model ◽

Cayley Tree ◽

Competing Interactions

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