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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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 (Unpublished) |
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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 |
_version_ |
1777408234438524928 |