A Renormalization-Group Study of the Potts Model with Competing Ternary and Binary Interactions View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2011-07-20

AUTHORS

Nasir Ganikhodjaev , Seyit Temir , Selman Uğuz , Hasan Akin

ABSTRACT

We study the phase diagram for Potts model on a Cayley tree with competing prolonged ternary and nearest–neighbor interactions. Recently Ganikhodjaev et al. [19] proved that the phase diagram of Potts model with competing nearest–neighbor and prolonged next-nearest–neighbor interactions contains a modulated phase, as found for similar Ising models on periodic lattices. At vanishing temperature, the phase diagram is fully determined for all values of interaction parameters. We show that the set of modulated phases has very simple structure, namely consist of phases with period 4, so called antiphase. More... »

PAGES

117-125

Book

TITLE

Nonlinear and Complex Dynamics

ISBN

978-1-4614-0230-5
978-1-4614-0231-2

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4614-0231-2_9

DOI

http://dx.doi.org/10.1007/978-1-4614-0231-2_9

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1003294140


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