On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree
DOI:
https://doi.org/10.15407/mag12.04.302Анотація
Вивчено модель Поттса з q-станами (де q = 3, 4, 5, ... ) i зi спецiальним зовнiшнiм полем на деревi Келi порядку k ≥ 2. Для антиферомагнiтної моделi Поттса з такими зовнiшнiми полями при k ≥ 6 доведено неєдинiсть слабкоперiодичної (неперiодичної) мiри Гiббса. Також вивчено слабкоперiодичнi мiри Гiббса для моделi Поттса з нульовим зовнiшнiм полем. Доведено, що за деяких умовах таких мiр може бути не менш нiж 2q - 2.
Mathematics Subject Classification: 82B26, 60K35.
Ключові слова:
дерево Келі, міра Гіббса, модель Поттса, слабкоперiодичі мiриПосилання
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