Journal
COMPUTATIONAL MATERIALS SCIENCE
Volume 49, Issue 1, Pages 70-83Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.commatsci.2010.04.023
Keywords
Ring statistics; Connectivity; Amorphous materials; King's rings; Shortest path rings; Primitive rings; Strong rings
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In a first part we present the state of the art of the ring statistics when used to study the structural properties of solids. The different possibilities used to classify rings when analysing a material using the graph theory framework are presented. Afterwards a new and original method is proposed to analyse the connectivity of a topological network using ring statistics. This method allows to obtain the connectivity profile of the network and then to study and compare with efficiency the connectivity of different networks using ring statistics. Then a detailed analysis of SiO2 and GeS2 amorphous samples obtained using molecular dynamics is proposed to illustrate the main features of our method. A FORTRAN 90 code mainly devoted to the ring statistics analysis of materials with an implementation of the present method is also presented. (C) 2010 Elsevier B.V. All rights reserved.
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