Phase transition for the p-adic Ising–Vannimenus model on the Cayley tree

QR Code

Phase transition for the p-adic Ising–Vannimenus model on the Cayley tree

In this present paper, we consider the p-adic Ising Vannimenus model on the Cayley tree of order two. A new measure-theoretical approach (in the p-adic sense) to investigate such a model is proposed. The main result of this paper is to establish the existence of the phase transition for the model. B...

Full description

Bibliographic Details
Main Authors:	Mukhamedov, Farrukh, Dogan, Mutlay, Akin, Hasan
Format:	Article
Language:	English English
Published:	IOP Publishing Ltd. 2014
Subjects:	QA Mathematics QC Physics
Online Access:	http://irep.iium.edu.my/38902/ http://irep.iium.edu.my/38902/1/mfmdha-JSTAT%282014%29.pdf http://irep.iium.edu.my/38902/4/38902_Phase%20transition_scopus_new.pdf

Similar Items

On p-adic Ising–Vannimenus model on an arbitrary order Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2015)

On P-Adic lambda-model on the cayley tree II: Phase transitions
by: Mukhamedov, Farrukh, et al.
Published: (2015)

On p-adic ising model with competing interactions on the cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2014)

Phase transition of p-adic Ising λ-model
by: Dogan, Mutlay, et al.
Published: (2015)

Phase transitions for p-adic Potts model on the Cayley tree of order three
by: Mukhamedov, Farrukh, et al.
Published: (2013)

The p-adic potts model on the cayley tree of order three
by: Mukhamedov, Farrukh, et al.
Published: (2013)

Existence of p-adic quasi Gibbs measures for mixed type p-adic ising lambda-model
by: Mukhamedov, Farrukh, et al.
Published: (2016)

A dynamical system approach to phase transitions for p-adic Potts model on the Cayley tree of order two
by: Mukhamedov, Farrukh
Published: (2012)

Translation-invariant p-adic quasi-Gibbs measures for the Ising–Vannimenus model on a Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2016)

Phase transitions in the Blume-Emery-Griffiths-Vannimenus model on the Cayley Tree
by: Ganikhodjaev, Nasir
Published: (2012)

Phase transition and chaos: P-adic Potts model on a Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2016)

On p-Adic quasi Gibbs Measures for q+1-state Potts model on the cayley tree
by: Mukhamedov, Farrukh
Published: (2010)

On an Algebraic Property of the Disordered Phase of the Ising Model with Competing Interactions on a Cayley Tree
by: Mukhamedov, Farrukh, et al.
Published: (2016)

Lyapunov exponents and modulated phases of an ising model on cayley tree of arbitrary order
by: Uguz, Selman, et al.
Published: (2012)

On the behavior of a class of p-adic dynamical systems
by: Akin, Hasan, et al.
Published: (2014)

On quantum Markov chains on Cayley tree III: Ising model
by: Accardi, Luigi, et al.
Published: (2014)

On dynamical systems and phase transitions for q + 1-state p-adic Potts model on the Cayley tree
by: Mukhamedov, Farrukh
Published: (2013)

On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree
by: Mukhamedov, Farrukh
Published: (2010)

Renormalization method in p-adic λ-model on the Cayley tree
by: Mukhamedov, Farrukh
Published: (2015)

Quantum phase transition for Ising type models on a Cayley tree of order two
by: Mukhamedov, Farrukh, et al.
Published: (2014)

Phase diagrams of an Ising system with competing binary, prolonged ternary and next-nearest interactions on a Cayley tree
by: Ganikhodjaev, Nasir, et al.
Published: (2011)

Phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions
by: Ganikhodjaev, Nasir, et al.
Published: (2011)

Phase transitions for quantum Markov chains associated with Ising type models on a Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2015)

Phase transitions for quantum Markov chains associated with ising type models on a Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2016)

On the strong phase transition for the one-dimensional countable statep-adic Potts model
by: Mukhamedov, Farrukh
Published: (2014)

On periodic Gibbs measures of p-adic Potts model on a Cayley Tree
by: Mukhamedov, Farrukh, et al.
Published: (2016)

Quantum Markov Chains and Ising model on Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2013)

Strange attractors in the Vannimenus model on an arbitrary order cayley tree
by: Ganikhodjaev, Nasir, et al.
Published: (2013)

Strange attractors in the Vannimenus Model on an arbitrary order Cayley Tree
by: Ganikhodjaev, Nasir, et al.
Published: (2012)

Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree
by: Mukhamedov, Farrukh
Published: (2012)

On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree
by: Khrennikov, Andrei, et al.
Published: (2009)

Ising model with restricted interactions on general Cayley tree of arbitrary order
by: Ganikhodjaev, Nasir, et al.
Published: (2011)

On phase transitions in Quantum Markov Chains on Cayley tree
by: Accardi, Luigi, et al.
Published: (2011)

Phase diagram of the Blume-Emery-Griffiths-Vannimenus model on the Cayley tree
by: Ganikhodjaev, Nasir
Published: (2013)

Modulated phase of an Ising system with competing interactions on a Cayley Tree of arbitrary order
by: Uguz, Selman, et al.
Published: (2010)

Phase transition for Ising model with two competing interaction on Cayley tree of order
by: Ali, Rukiah, et al.
Published: (2011)

On quantum Markov chains on Cayley tree II: phase transitions for the associated chain with XY -Model on the Cayley tree of order tree
by: Accardi, Luigi, et al.
Published: (2011)

On extreme Gibbs measures of the Vannimenus model
by: Ganikhodjaev, Nasir, et al.
Published: (2011)

Ising model on a general Cayley tree with competing next-nearest-neighbour interactions
by: Ganikhodjaev, Nasir, et al.
Published: (2011)

On dynamical system relating to quantum Markov chain associated with Ising Model on Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2011)