IIUM Repository

On some dynamic systems arising in lattice models with competing ternary interactions

Ganikhodjaev, Nasir (2009) On some dynamic systems arising in lattice models with competing ternary interactions. In: Proceedings of Modern Problems of Applied Mathematics and Information Technologies-Al Khowrezmi 2009, 18-21 September 2009, Tashkent, Uzbekistan. (Unpublished)

[img] PDF (On Some Dynamic Systems Arising in Lattice Models with Competing Ternary Interactions ) - Presentation
Restricted to Registered users only until 29 December 2020.

Download (67kB) | Request a copy


The lattice models on a Cayley tree with competing interactions has recently been studied extensively because of the appearance of nontrivial magnetic orderings [1]. In the case of the Ising model on the Cayley tree of second order with competing binary nearestneighbour interactions J and binary prolonged second neighbour interactions Jp Vannimenus [1] was able to find new modulated phases, in addition to the expected paramagnetic and ferromagnetic phases. Later similar result was proved for Potts model with three spins [2]. Let Let

Item Type: Conference or Workshop Item (Lecture)
Additional Information: 4430/13876
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Prof. Nasir Ganikhodjaev
Date Deposited: 01 Feb 2012 20:44
Last Modified: 01 Feb 2012 20:44
URI: http://irep.iium.edu.my/id/eprint/13876

Actions (login required)

View Item View Item


Downloads per month over past year