Structural transformations of nematic disclinations.
Journal
The European physical journal. E, Soft matter
ISSN: 1292-895X
Titre abrégé: Eur Phys J E Soft Matter
Pays: France
ID NLM: 101126530
Informations de publication
Date de publication:
20 Sep 2022
20 Sep 2022
Historique:
received:
19
05
2022
accepted:
13
08
2022
entrez:
20
9
2022
pubmed:
21
9
2022
medline:
21
9
2022
Statut:
epublish
Résumé
Topological defects (TDs) are a consequence of symmetry breaking phase transitions and are ubiquitous in nature. An ideal testbed for their study are liquid crystals (LCs) owing to their large response to external stimuli and their large electrical and optical anisotropies. In this paper, we perform numerical simulations of topological defects of [Formula: see text] or [Formula: see text] enforced by the confining boundary. We use the Landau-de Gennes phenomenological model in terms of the tensor nematic order parameter and the Jones beam propagation model to simulate polarized optical microscopy images. We demonstrate the structure of closed disclination loops near the boundary known as boojums that can be topologically charged or chargeless. We show that pairs of chargeless disclination loops can interact repulsively or attractively depending on if they are arranged parallel or antiparallel, respectively. Sufficiently closely spaced antiparallel pairs can rewire while parallel pairs simply exhibit stronger bending due to the repulsion.
Identifiants
pubmed: 36125597
doi: 10.1140/epje/s10189-022-00226-x
pii: 10.1140/epje/s10189-022-00226-x
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
78Subventions
Organisme : Javna Agencija za Raziskovalno Dejavnost RS
ID : P1-0099
Organisme : Javna Agencija za Raziskovalno Dejavnost RS
ID : PR-07585
Informations de copyright
© 2022. The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature.
Références
W.H. Zurek, Nature 317, 505 (1985)
doi: 10.1038/317505a0
M. Kleman, O. Lavrentovich, Soft Matter Physics: An Introduction (Springer Science & Business Media, New York, 2004)
doi: 10.1007/b97416
R.D. Kamien, Rev. Mod. Phys. 74, 953 (2002)
doi: 10.1103/RevModPhys.74.953
N.D. Mermin, Rev. Mod. Phys. 51, 591 (1979)
doi: 10.1103/RevModPhys.51.591
G.E. Volovik, O.D. Lavrentovich, Sov. Phys. JETP 58, 1159 (1983)
O.D. Lavrentovich, Liq. Cryst. 24, 117 (1998)
doi: 10.1080/026782998207640
I.I. Smalyukh, Rep. Prog. Phys. 83, 106601 (2020)
doi: 10.1088/1361-6633/abaa39
M. Kleman, Rep. Prog. Phys. 52, 555 (1989)
doi: 10.1088/0034-4885/52/5/002
M.V. Kurik, O.D. Lavrentovich, Sov. Phys. Usp. 31, 196 (1988)
doi: 10.1070/PU1988v031n03ABEH005710
S. Afghah, R.L.B. Selinger, J.V. Selinger, Liq. Cryst. 45, 2022 (2018)
doi: 10.1080/02678292.2018.1494857
N. Schopohl, T.J. Sluckin, Phys. Rev. Lett. 59, 2582 (1987)
doi: 10.1103/PhysRevLett.59.2582
S. Kralj, E.G. Virga, S. Žumer, Phys. Rev. E 60, 1858 (1999)
doi: 10.1103/PhysRevE.60.1858
D. Svenšek, S. Žumer, Phys. Rev. E 70, 061707 (2004)
doi: 10.1103/PhysRevE.70.061707
Y.K. Kim, S.V. Shiyanovskii, O.D. Lavrentovich, J Phys.: Condens. Matter 25, 404202 (2013)
S. Kralj, B. Murray, C. Rosenblatt, Phys. Rev. E 95, 042702 (2017)
doi: 10.1103/PhysRevE.95.042702
S. Zhou, S.V. Shiyanovskii, H.S. Park, O.D. Lavrentovich, Nat. Commun. 8, 14974 (2017)
doi: 10.1038/ncomms14974
A.L. Susser, S. Harkai, S. Kralj, C. Rosenblatt, Soft Matter 16, 4814–4822 (2020)
doi: 10.1039/D0SM00218F
Q. Liu, B. Senyuk, M. Tasinkevych, I.I. Smalyukh, Proc. Natl. Acad. Sci. 110, 9231 (2013)
doi: 10.1073/pnas.1301464110
X. Wang, Y.K. Kim, E. Bukusoglu, B. Zhang, D.S. Miller, N.L. Abbot, Phys. Rev. Lett. 116, 147801 (2016)
doi: 10.1103/PhysRevLett.116.147801
F. Bisi, E.C. Garland, R. Rosso, E.G. Virga, Phys. Rev. E 68, 021707 (2003)
doi: 10.1103/PhysRevE.68.021707
C. Chiccoli, I. Feruli, O.D. Lavrentovich, P. Pasini, S.V. Shiyanovskii, C. Zannoni, Phys. Rev. E 66, 030701 (2002)
doi: 10.1103/PhysRevE.66.030701
B.S. Murray, R.A. Pelcovits, C. Rosenblatt, Phys. Rev. E 90, 052501 (2014)
doi: 10.1103/PhysRevE.90.052501
A.L. Susser, S. Kralj, C. Rosenblatt, Soft Matter 17, 9616–9623 (2021)
doi: 10.1039/D1SM01124C
B.S. Murray, S. Kralj, C. Rosenblatt, Soft Matter 13, 8442–8450 (2017)
doi: 10.1039/C7SM01954H
S. Harkai, B.S. Murray, C. Rosenblatt, S. Kralj, Phys. Rev. Res. 2, 013176 (2020)
doi: 10.1103/PhysRevResearch.2.013176
P.G. De Gennes, J. Prost, The Physics of Liquid Crystals (Clarendon, Oxford, 1994)
D.H. Goldstein, Polarized Light, 3rd edn. (CRC Press, Boca Raton, 2010)
M. Tasinkevych, M.G. Campbell, I.I. Smalyukh, Proc. Nat. Acad. Sci. 111, 16268 (2014)
doi: 10.1073/pnas.1405928111