DLR-Logo -> http://www.dlr.de
DLR Portal Home | Imprint | Privacy Policy | Contact | Deutsch
Fontsize: [-] Text [+]

Discrimination of different crystalline structures in manyparticle- systems using scaling indices

Hartmann, Alexander and Räth, Christoph and Huber, Peter and Thomas, Hubertus (2015) Discrimination of different crystalline structures in manyparticle- systems using scaling indices. DSDP 2015, 09.-11. Sep. 2015, Kiel. (Unpublished)

[img] PDF


Bond order parameters and scaling indices are local measures which are used to determine local structures in a point distribution. Local invariants, which measure the angular relation between the point and its next neighbors, are calculated for each point in the distribution for determining the bond order parameters [1]. Scaling indices measure how the number of neighbors in a vicinity of radius r scales with r for each point in the distribution. Anisotropy can then be implemented weighting the dimensions differently in the calculation of the distance measure [2]. We calculated the local invariants q4, q6 and a set of anisotropic scaling indices for each point of three artificially created point distributions of perfect bcc-, fcc- or hcp-like shape with additive Gaussian noise, and determined the quality of discrimination. It is found that the limit noise level (Gaussian noise std.dev.) for a sufficient discrimination is about 10% of the average point distance for scaling indices, and only about 8% for bond order parameters. The results from these data sets are then transferred to experimentally obtained data, e.g. for discriscriminating local crystalline structures of bcc, fcc and hcp type in 3d data of plasma crystals in a PK-3- Plus experiment [3]. [1] P. J. Steinhardt, D. R. Nelson, M. Ronchetti, Phys. Rev. B, 28 784 (1983) [2] C. Räth, R. Monetti, J. Bauer, I. Sidorenko, D. Müller, M. Matsuura, E.-M. Lochmüller, P. Zysset, F. Eckstein, New J. Phys. 10, 125010 (2008) [3] H. M. Thomas, G. E. Morfill, V. E. Fortov, A. V. Ivlev, V. I. Molotkov, A. M. Lipaev, T. Hagl, H. Rothermel, S. A. Khrapak, R. K. Suetterlin, M. Rubin-Zuzic, O. F. Petrov, V. I. Tokarev and S. K. Krikalev, New J. Phys. 10, 033036 (2008)

Item URL in elib:https://elib.dlr.de/99288/
Document Type:Conference or Workshop Item (Speech)
Title:Discrimination of different crystalline structures in manyparticle- systems using scaling indices
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Hartmann, Alexanderalexander.hartmann (at) dlr.deUNSPECIFIED
Räth, Christophchristoph.raeth (at) dlr.deUNSPECIFIED
Huber, Peterp.huber (at) dlr.deUNSPECIFIED
Thomas, Hubertushubertus.thomas (at) dlr.deUNSPECIFIED
Date:September 2015
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Keywords:Komplexe Plasmen, complex, plasmas, data analysis, Datenanalyse, bond order, scaling indices
Event Title:DSDP 2015
Event Location:Kiel
Event Type:Workshop
Event Dates:09.-11. Sep. 2015
Organizer:Christian-Albrechts-Universität Kiel
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Forschung unter Weltraumbedingungen
DLR - Research theme (Project):R - Komplexe Plasmen / Data analysis
Location: Oberpfaffenhofen
Institutes and Institutions:Research Group Complex Plasma
Deposited By: Hartmann, Alexander
Deposited On:09 Nov 2015 17:04
Last Modified:31 Jul 2019 19:56

Repository Staff Only: item control page

Help & Contact
electronic library is running on EPrints 3.3.12
Copyright © 2008-2017 German Aerospace Center (DLR). All rights reserved.