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

IF 1 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Journal of Experimental and Theoretical Physics Pub Date : 2023-08-22 DOI:10.1134/S1063776123070129
V. N. Ryzhov, E. A. Gaiduk, E. E. Tareeva, Yu. D. Fomin, E. N. Tsiok
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Abstract

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.

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二维系统的熔化情景:计算机模拟的可能性
本文主要以连续对称二维体系的Berezinskii-Kosterlitz-Thouless (BKT)相变理论的概念为基础,讨论了二维体系熔化的现代理论。目前存在三种二维晶体熔化的基本情况。首先,这是berezinskii - kosterlitz - thoulless - halperin - nelson - young (BKTHNY)理论,其中二维晶体通过两个bkt型连续转变与中间六相熔化。在这种情况下,一阶相变也会发生。Bernard和Krauth (BK)最近提出了第三种情况,在这种情况下,融化可能通过bkt型转变发生;在这种情况下,六相各向同性流体转变是一阶转变。该评论提出了一个关键的分析方法,用于确定参数和过渡类型的计算机模拟方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.90
自引率
9.10%
发文量
130
审稿时长
3-6 weeks
期刊介绍: Journal of Experimental and Theoretical Physics is one of the most influential physics research journals. Originally based on Russia, this international journal now welcomes manuscripts from all countries in the English or Russian language. It publishes original papers on fundamental theoretical and experimental research in all fields of physics: from solids and liquids to elementary particles and astrophysics.
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