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Title:Effective topological charge cancelation mechanism
Authors:ID Mesarec, Luka (Author)
ID Góźdź, Wojciech (Author)
ID Iglič, Aleš (Author)
ID Kralj, Samo (Author)
Files:.pdf Scientific_Reports_2016_Mesarec_et_al._Effective_Topological_Charge_Cancelation_Mechanism.pdf (2,15 MB)
MD5: 9A7CC422DE7002DDB5876344883269E5
 
URL http://www.nature.com/articles/srep27117
 
Language:English
Work type:Scientific work (r2)
Typology:1.01 - Original Scientific Article
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Topological defects (TDs) appear almost unavoidably in continuous symmetry breaking phase transitions. The topological origin makes their key features independent of systems’ microscopic details; therefore TDs display many universalities. Because of their strong impact on numerous material properties and their significant role in several technological applications it is of strong interest to find simple and robust mechanisms controlling the positioning and local number of TDs. We present a numerical study of TDs within effectively two dimensional closed soft films exhibiting in-plane orientational ordering. Popular examples of such class of systems are liquid crystalline shells and various biological membranes. We introduce the Effective Topological Charge Cancellation mechanism controlling localised positional assembling tendency of TDs and the formation of pairs {defect, antidefect} on curved surfaces and/or presence of relevant “impurities” (e.g. nanoparticles). For this purpose, we define an effective topological charge Δmeff consisting of real, virtual and smeared curvature topological charges within a surface patch Δς identified by the typical spatially averaged local Gaussian curvature K. We demonstrate a strong tendency enforcing Δmeff → 0 on surfaces composed of Δς exhibiting significantly different values of spatially averaged K. For Δmeff ≠ 0 we estimate a critical depinning threshold to form pairs {defect, antidefect} using the electrostatic analogy.
Keywords:topological defects, topological charge, numerical studies, orientational ordering, nematic liquid crystals, liquid crystalline shells, biological membranes, nanoparticles, Gaussian curvature, electrostatic analogy, annihilation, topology
Year of publishing:2016
Publication status in journal:Published
Article version:Publisher's version of article
Number of pages:str. 1-9
Numbering:Letn. 6
PID:20.500.12556/DKUM-66394 New window
ISSN:2045-2322
UDC:515.1
ISSN on article:2045-2322
COBISS.SI-ID:22256136 New window
DOI:10.1038/srep27117 New window
NUK URN:URN:SI:UM:DK:HNWZJJU0
Publication date in DKUM:23.06.2017
Views:728
Downloads:308
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Categories:Misc.
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Record is a part of a journal

Title:Scientific Reports
Publisher:Nature Publishing Group
ISSN:2045-2322
COBISS.SI-ID:18727432 New window

Document is financed by a project

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Project number:P1-0099
Name:Fizika mehkih snovi, površin in nanostruktur

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:23.06.2017

Secondary language

Language:Slovenian
Keywords:topološki defekti, topološki naboj, numerične raziskave, orientacijski red, nematični tekoči kristali, tekoče kristalne lupine, biološke membrane, nanodelci, Gaussova ukrivljenost, elektrostatična analogija, anihilacija, topologija


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