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RENORMALIZATION GROUP STUDY OF THE MELTING OF A TWO-DIMENSIONAL SYSTEM OF COLLAPSING HARD DISKSстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 8 августа 2017 г.
- Авторы: Ryzhov V.N., Tareyeva E.E., Fomin Yu D., Tsiok E.N., Chumakov E.S.
- Журнал: Theoretical and Mathematical Physics
- Том: 191
- Номер: 3
- Год издания: 2017
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 842
- Последняя страница: 855
- DOI: 10.1134/S0040577917060058
- Аннотация: We consider the melting of a two-dimensional system of collapsing hard disks (a system with a hard-disk potential to which a repulsive step is added) for different values of the repulsive-step width. We calculate the system phase diagram by the method of the density functional in crystallization theory using equations of the Berezinskii-Kosterlitz-Thouless-Halperin-Nelson-Young theory to determine the lines of stability with respect to the dissociation of dislocation pairs, which corresponds to the continuous transition from the solid to the hexatic phase. We show that the crystal phase can melt via a continuous transition at low densities (the transition to the hexatic phase) with a subsequent transition from the hexatic phase to the isotropic liquid and via a first-order transition. Using the solution of renormalization group equations with the presence of singular defects (dislocations) in the system taken into account, we consider the influence of the renormalization of the elastic moduli on the form of the phase diagram.
- Добавил в систему: Рыжов Валентин Николаевич