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Geometrical defects in two-dimensional melting of many-particle Yukawa systems

Radzvilavičius, A; (2012) Geometrical defects in two-dimensional melting of many-particle Yukawa systems. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , 86 (5) 10.1103/PhysRevE.86.051111.

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Abstract

We present a theoretical polygon construction analysis of two-dimensional melting and freezing transitions in many-particle Yukawa systems. Two-dimensional melting transitions can be characterized as proliferation of geometrical defects-nontriangular polygons, obtained by removing unusually long bonds in the triangulation of particle positions. A liquid state is characterized by the temperature-independent number of quadrilaterals and linearly increasing number of pentagons. We analyze specific types of vertices, classified by the type and distribution of polygons surrounding them, and determine temperature dependencies of their concentrations. Solid-liquid phase transitions are followed by the peaks in the abundances of certain types of vertices. © 2012 American Physical Society.

Type:Article
Title:Geometrical defects in two-dimensional melting of many-particle Yukawa systems
DOI:10.1103/PhysRevE.86.051111
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > CoMPLEX - Maths and Physics in the Life Sciences and Experimental Biology

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