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Continuous limit of discrete systems with long-range interactionстатья
Информация о цитировании статьи получена из
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
- Автор: Tarasov Vasily E.
- Журнал: Journal of physics A: Mathematical and general
- Том: 39
- Номер: 48
- Год издания: 2006
- Издательство: IOP Publishing
- Местоположение издательства: [Bristol, UK], England
- Первая страница: 14895
- Последняя страница: 14910
- DOI: 10.1088/0305-4470/39/48/005
- Аннотация: Discrete systems with long-range interactions are considered. Continuous medium models as continuous limit of discrete chain system are defined. Longrange interactions of chain elements that give the fractional equations for the medium model are discussed. The chain equations of motion with long-range interaction are mapped into the continuum equation with the Riesz fractional derivative. We formulate the consistent definition of continuous limit for the systems with long-range interactions. In this paper, we consider a wide class of long-range interactions that give fractional medium equations in the continuous limit. The power-law interaction is a special case of this class.
- Добавил в систему: Тарасов Василий Евгеньевич