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0406U005267,
к.ф.-м.н.
08-12-2006
o
The critical properties investigation of some statistical models
Galdina Alexandra Nickolaevna,
popup.head Soldatova Evgenia Dmitrievna
popup.opponent Лев Богдан Іванович
popup.opponent Васильєв Олексій Миколайович
Об'єкт дослідження - критичні явища і фазові переходи у двовимірних статистичних моделях. Мета - дослідити термодинамічну стійкість моделей Ліба, Бекстера, Ешкіна-Теллера, Поттса, жорстких квадратів і триспінової моделі. Методом дослідження є термодинамічний метод дослідження критичних станів простих однокомпонентних систем. Отримано аналітичні вирази для повного комплексу характеристик стійкості для кожної моделі. Визначено типи критичної поведінки в моделях. Пояснено причини порушення гіпотези подібності в моделях Ліба і жорстких квадратів і причини поуршення гіпотези універсальності в моделях Бекстера і Ешкіна-Теллера. Проаналізовано критичну поведінку реальних сегнетоелектриків й феромагнетиків за відомими експериментальними даними і проведено порівняння з модельними розрахунками. Сфера практичного застосування - обробка експериментальних даних для реальних кристалів, моделювання розв'язків для тривимірних об'єктів.
2006-12-08
2020-04-04
Updated: 2025-12-09
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