Кинетические процессы и фазовые переходы в растворах
Диссертация
Бурное развитие в последние десятилетия новейших микро и нанотехнологий ставит перед исследователями целый ряд научных проблем, решение которых весьма важно для практических приложений. Особую роль играют вопросы, связанные с созданием новых материалов. Последние могут быть получены как при квазиравновесных физико-химических процессах с образованием темодинамически стабильного вещества, так и при… Читать ещё >
Содержание
- Введение ^
- 1. Кинетические процессы в равновесных растворах
- 1. 1. Основные временные корреляционные функции и методы их вычисления
- 1. 1. 1. Определение важнейших корреляционных функций
- 1. 1. 2. Уравнение Ланжевена
- 1. 1. 3. Уравнение Фоккера-Планка
- 1. 1. 4. Обобщенное уравнение Ланжевена
- 1. 1. 5. Времена корреляции и коэффициенты поступательной и вращательной диффузии
- 1. 1. 6. Характеристики ориентационного движения молекул
- 1. 2. Корреляционные функции и кинетические коэффициенты для основных моделей жидкостей и растворов
- 1. 2. 1. Модель твердых сфер
- 1. 2. 2. Модель динамических локальных структур в жидкости
- 1. 2. 3. Особенности молекулярного движения в воде и водны. х растворах
- 1. 2. 4. Гидродинамическое описание молекулярного движения в растворах
- 1. 3. Влияние электростатических взаимодействий на молекулярное движение в растворах
- 1. 3. 1. Уравнения Хаббарда-Онзагера. Коэффициенты вращательного и поступательного трения ионов и полярных молекул
- 1. 3. 2. Влияние электростатических взаимодействий с растворителем на вращательную динамику заряженных макромолекул
- 1. 3. 3. Влияние электростатических взаимодействий между макромолекулами на их броуновскую динамику
- 1. 4. Временные корреляционные функции и кинетические коэффициенты для систем с межфазным объменом
- 1. 4. 1. Кинетическое уравнение для процесса обмена
- 1. 4. 2. Расчет корреляционных функций в системах с обменом
- 1. 4. 3. Примеры корреляционных функций для систем с обменом
- 1. 4. 4. Кинетика активационных межфазных переходов. Среднее время жизни в фазе
- 1. 1. Основные временные корреляционные функции и методы их вычисления
- 2. 1. Основные неравновесные процессы
- 2. 1. 1. Диффузионный транспорт при образовании структур
- 2. 1. 2. Обобщенная кинетическая модель роста в поверхностном слое
- 2. 1. 3. Модели нуклеации
- 2. 2. Кинетийа кластеризации в растворах
- 2. 2. 1. Модели аддитивного роста кластеров
- 2. 2. 2. Кинетика’агрегации в моделях аддитивного роста без источника мономеров
- 2. 2. 3. Аддитивные модели с источником
- 2. 2. 4. Численное моделирование процессов аддитивного роста
- 2. 3. Нуклеация и рост в системах со многими стабильными фазами
- 2. 3. 1. Модели полифазной нуклеации и роста
- 2. 3. 2. Теория среднего поля полифазной нуклеации
- 2. 3. 3. Точные решения задачи одномерной полифазной нуклеации
- 2. 3. 4. Численное моделирование в двумерном случае
- 2. 4. Адсорбция в растворах: кинетика процесса, образование фрактальных структур и упорядочивание
- 2. 4. 1. Полидисперсная последовательная случайная адсорбция
- 2. 4. 2. Теоретическое описание процесса адсорбции
- 2. 4. 3. Упорядочивание при адсорбции."
- 3. 1. Метод Монте Карло
- 3. 1. 1. Метод Монте-Карло. Использование термодинамического скейлинга
- 3. 1. 2. Термодинамические данные для жидкости с потенциалом прямоугольной ямы
- 3. 2. Исследование критических свойств жидкости методом Монте-Карло с термодинамическим скейлингом
- 3. 3. Эффективный магнитный гамильтониан и критерий Гинзбурга для жидкости
- 3. 3. 1. Преобразование Хаббарда-Скофилда
- 3. 3. 2. Вычисление коэффициентов эффективного Гамильтониана
- 3. 3. 3. Среднеполевые соотношения для критической точки
- 3. 3. 4. Параметр Гинзбурга для жидкости
- 3. 4. Гауссово приближение для эффективного Гамильтониана. Качественный анализ критических явлений.. .. °
- 3. 4. 1. Соотношения между критическими параметрами
- 3. 4. 2. Анализ эффектов, связанных с конечностью размеров системы
- 3. 4. 3. Коллапс РГ — потоков в системах конечного размера
- 4. 1. Метод эффективного Гамильтониана для анализа критических явлений в ионных жидкостях
- 4. 1. 1. Теория кулоновского фазового перехода
- 4. 1. 2. Вывод эффективного Гамильтониана
- 4. 1. 3. Исследование критического поведения системы методом ренормали-зационной группы
- 4. 2. Теоретико-полевое описание кулоновских жидкостей. Обобщение уравнения Пуассона-Больцмана
- 4. 2. 1. Решеточная модель кулоновского газа
- 4. 2. 2. Обобщенное уравнение Пуассона-Больцмана
- 4. 3. Уравнение состояния однокомпонентной плазмы
- 4. 3. 1. Формулировка модели однокомпонентной плазмы и ее термодинамические свойства
- 4. 3. 2. Эффективный Гамильтониан и теоретико-полевое представление для ОКП
- 4. 3. 3. Уравнение состояния ОКП и анализ его точности
- 4. 3. 4. Уравнение состояния ОКП твердых сфер
- 4. 4. Фазовые переходы в растворах частиц с переменным зарядов
- 4. 4. 1. Свободная энергия раствора частиц с активными поверхностными группами: общий анализ
- 4. 4. 3. Вычисление избыточной свободной энергии" системы полиионов и противоионов
- 4. 5. Коллапс цепи и конденсация контрионов в разбавленных растворах полиэлектролитов
- 4. 5. 1. Конформационные свойства полиэлектролитов
- 4. 5. 2. Свободная энергия разбавленного раствора полиэлектролита
- 4. 5. 3. Взаимосвязь размеров цепи полиэлектролита и распределения контрионов в растворе
- 4. 5. 4. Индуцированный конденсацией контрионов коллапс полиэлектролита, как фазовый переход первого рода
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