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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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2009
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/13876/ http://irep.iium.edu.my/13876/1/abstract_NUUZ%5B1%5D%5B1%5D.pdf |
| Summary: | 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 |
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