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

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 pro...

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Main Author: Ganikhodjaev, Nasir
Format: Conference or Workshop Item
Language:English
Published: 2009
Subjects:
Online Access:http://irep.iium.edu.my/13876/
http://irep.iium.edu.my/13876/1/abstract_NUUZ%5B1%5D%5B1%5D.pdf
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recordtype eprints
spelling iium-138762012-02-01T12:44:58Z http://irep.iium.edu.my/13876/ On some dynamic systems arising in lattice models with competing ternary interactions Ganikhodjaev, Nasir QA Mathematics 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 2009-09-18 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/13876/1/abstract_NUUZ%5B1%5D%5B1%5D.pdf 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 (Unpublished)
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Ganikhodjaev, Nasir
On some dynamic systems arising in lattice models with competing ternary interactions
description 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
format Conference or Workshop Item
author Ganikhodjaev, Nasir
author_facet Ganikhodjaev, Nasir
author_sort Ganikhodjaev, Nasir
title On some dynamic systems arising in lattice models with competing ternary interactions
title_short On some dynamic systems arising in lattice models with competing ternary interactions
title_full On some dynamic systems arising in lattice models with competing ternary interactions
title_fullStr On some dynamic systems arising in lattice models with competing ternary interactions
title_full_unstemmed On some dynamic systems arising in lattice models with competing ternary interactions
title_sort on some dynamic systems arising in lattice models with competing ternary interactions
publishDate 2009
url http://irep.iium.edu.my/13876/
http://irep.iium.edu.my/13876/1/abstract_NUUZ%5B1%5D%5B1%5D.pdf
first_indexed 2023-09-18T20:23:02Z
last_indexed 2023-09-18T20:23:02Z
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