Translation-invariant Gibbs measures for a model with logarithmic potential on a Cayley tree
https://doi.org/10.17586/2220-8054-2016-7-5-893-899
Аннотация
In this paper, we consider a model with logarithmical potential and with the set [0, 1] of spin values, on a Cayley tree Гk of the order k. In the case k = 2, 3, we shall prove that, there is a unique translation-invariant splitting Gibbs measure for this model. For the case k = 4, we show that there are three translation-invariant Gibbs measures for this model.
Ключевые слова
Об авторах
Yu. Eshkabilov
National University of Uzbekistan
Узбекистан
Узбекистан
Sh. Bobonazarov
Tashkent Institute of Irrigation and Melioration
Узбекистан
Узбекистан
R. Teshaboev
Termez State University
Узбекистан
Узбекистан
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Рецензия
Для цитирования:
, , . Наносистемы: физика, химия, математика. 2016;7(5):893-899. https://doi.org/10.17586/2220-8054-2016-7-5-893-899
For citation:
Eshkabilov Yu.Kh., Bobonazarov Sh.P., Teshaboev R.I. Translation-invariant Gibbs measures for a model with logarithmic potential on a Cayley tree. Nanosystems: Physics, Chemistry, Mathematics. 2016;7(5):893-899. https://doi.org/10.17586/2220-8054-2016-7-5-893-899
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