Численное исследование спиновых систем с примесями тема автореферата и диссертации по физике, 01.04.02 ВАК РФ

I Введение.

II Используемые модели и численные методы.

I Модель Изинга без примесей: критическое поведение и теория подобия.

II Модель Изинга с немагнитными примесями.

III Численные методы для модели Изинга.

III Распределение числа связей между занятыми узлами.

IV Распределение числа связей между занятыми узлами в зависимости от способа создания образца.

V Вывод характеристик распределения числа связей.

А Одномерный случай, способ э.

Б Одномерный случай, способ р.

В «¿-мерный случай, способ р.

Г (¿-мерный случай, способ в

VI Распределение энергии для модели Изинга при нулевой температуре.

VII Анализ эффективности способов формирования образцов.

А Сравнение дисперсий термодинамических величин для разных способов распределения примесей.'.

Б Сравнение нормированной дисперсии термодинамических величин для разных способов распределения примесей.

VIII Самоусреднение в моделях с примесями.

А Критерий возможности самоусреднения в моделях с примесями.

Б Численная проверка наличия самоусреднения для модели перколяции по узлам и связям.

IV Модель Изинга с немагнитными примесями.

IX Теплоемкость модели Изинга с немагнитными примесями.

X Магнитная восприимчивость модели Изинга с немагнитными примесями: исследование класса универсальности.

А Новый метод определения критической температуры.

1 Критическое поведение магнитной восприимчивости модели Изинга с немагнитными примесями.

2 Анализ существующих методов определения критической температуры.

3 Новый метод определения критической температуры.

Б Систематические и статистические погрешности нового метода определения критической температуры.

1 Чувствительность к погрешностям при аппроксимации для нового метода.

2 Статистические погрешности.

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