Melting Scenarios of Two-Dimensional Systems: Possibilities of Computer Simulation

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Modern theories of melting of two-dimensional systems are discussed that are mainly based on the concepts of the Berezinskii–Kosterlitz–Thouless (BKT) theory of phase transitions in two-dimensional systems with continuous symmetry. Today there exist three basic scenarios of melting of two-dimensional crystals. First of all, this is the Berezinskii–Kosterlitz–Thouless–Halperin–Nelson–Young (BKTHNY) theory, in which two-dimensional crystals are melted through two BKT-type continuous transitions with an intermediate hexatic phase. In this case a first-order phase transition can also occur. The third scenario has recently been proposed by Bernard and Krauth (BK), in which melting can occur through a BKT-type transition; in this case the hexatic phase–isotropic fluid transition is a first-order transition. The review presents a critical analysis of the approaches used to determine the parameters and the type of transition by computer simulation methods.

作者简介

V. RYZHOV

Vereshchagin Institute of High Pressure Physics, Russian Academy of Sciences, Troitsk, Moscow, Russia

Email: fomin314@mail.ru
Troitsk, Moscow, 108840 Russia

E. Gayduk

Vereshchagin Institute of High Pressure Physics, Russian Academy of Sciences

Email: ryzhov@hppi.troitsk.ru
Troitsk, Moscow, 108840 Russia

E. Tareeva

Vereshchagin Institute of High Pressure Physics, Russian Academy of Sciences

Email: ryzhov@hppi.troitsk.ru
Troitsk, Moscow, 108840 Russia

Yu. Fomin

Vereshchagin Institute of High Pressure Physics, Russian Academy of Sciences

Email: ryzhov@hppi.troitsk.ru
Troitsk, Moscow, 108840 Russia

E. Tsiok

Vereshchagin Institute of High Pressure Physics, Russian Academy of Sciences

编辑信件的主要联系方式.
Email: ryzhov@hppi.troitsk.ru
Troitsk, Moscow, 108840 Russia

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