Coulomb-Like Elastic Interaction in Liquid Crystal Colloids
DOI:
https://doi.org/10.15407/ujpe70.10.684Keywords:
liquid crystal colloids, Coulomb-like interaction, soft matter, elastic interactionAbstract
This article is dedicated to the memory of my teacher P.M. Tomchuk and contains a review of his important results in one of the many areas of theoretical physics in which new solutions and approaches have been proposed, namely, in the theory of liquid crystal colloids. A theoretical approach to the description of long-range elastic interaction between particles immersed in a liquid crystal is proposed. It is shown that the nature of the interaction between particles is dictated by the symmetry breaking in the distribution of the elastic director field around each particle. The symmetry breaking is caused by deformations of the director field by the surface of the particle introduced into the liquid crystal. In cases where the particles induce a deformation with a non-zero torque moment, the Coulomb-like interaction between them is predicted. In addition, it is determined that the Coulomb interaction occurs in the cases of interaction of a particle with a deformation region characterized by a specific distribution of the elastic field. The paper presents experimental data confirming the theoretical predictions of the Coulomb-like interaction of immersed macroscopic particles in a liquid crystal.
References
1. B.I. Lev, P.M. Tomchuk. Interaction of foreign macrodroplets in a nematic liquid crystal and induced supermolecular structures. Phys. Rev. E 59, 591 (1999).
https://doi.org/10.1103/PhysRevE.59.591
2. B.I. Lev, S.B. Chernyshuk, P.M. Tomchuk, H. Yokoyama. Symmetry breacing and interaction of colloidal particles in nematic liquid crystals. Phys. Rev. E 65, 021709 (2002).
https://doi.org/10.1103/PhysRevE.65.021709
3. S.B. Chernyshuk, B.I. Lev, H. Yokoyama. Collective effects in doped nematic liquid crystals. J. Exp. Theor. Phys. 93, 760, (2001).
https://doi.org/10.1134/1.1420444
4. B.I. Lev. The ground state and the character of the interaction between colloidal particles in a liquid crystal. arXiv:1311.1878v1 [cond-mat.soft] 8 Nov2013.
5. B.I. Lev, S.B. Chernyshuk, O.M. Tovkach. Elastic monopoles and external torques in nematic liquid crystal colloids. arXiv:1311.4593v1 [cond-mat.soft] 19 Nov 2013.
6. V. Nazarenko, A. Nych, B. Lev. Crystal structure in nematic emulsion. Phys. Rev. Lett. 87, 075504 (2001).
https://doi.org/10.1103/PhysRevLett.87.075504
7. I.I. Smalyukh, S. Chernyshuk, B.I. Lev, A.B. Nych, U. Ognysta, V.G. Nazarenko, O.D. Lavrentovich. Ordered droplet structures at the liquid crystal surface and elastic capillary colloidal interactions. Phys. Rev. Lett. 93, 117801 (2004).
https://doi.org/10.1103/PhysRevLett.93.117801
8. I. Muˇseviˇc, M.ˇSkarabot, U. Tkalec, M. Ravnik, S.ˇZumer. Two-dimensional nematic colloidal crystals self-assembled by topological defects. Science 313, 954 (2006).
https://doi.org/10.1126/science.1129660
9. P. Poulin, H. Stark, T.C. Lubensky, D.A. Weitz. Novel colloidal interactions in anisotropic fluids. Science 275, 1770 (1997).
https://doi.org/10.1126/science.275.5307.1770
10. P. Poulin, D.A. Weitz. Inverted and multiple nematic emulsions. Phys. Rev. E 57, 626 (1998).
https://doi.org/10.1103/PhysRevE.57.626
11. J. Loudet, P. Barois, P. Poulin. Colloidal ordering from phase separation in a liquid-crystalline continuous phase. Nature 407, 611 (2000).
https://doi.org/10.1038/35036539
12. T.C. Lubensky, D. Pettey, N. Currier, H. Stark. Topological defects and interactions in nematic emulsions. Phys. Rev. E 57, 610 (1998).
https://doi.org/10.1103/PhysRevE.57.610
13. H. Stark. Director field configurations around a spherical particle in a nematic liquid crystal. Eur. Phys. J. B 10, 311 (1999).
https://doi.org/10.1007/s100510050860
14. E.D. Belockii, B.I. Lev, P.M. Tomchuk. Pisma Zh. Eksp. Teor. Fiz. 31, 573 (1980).
15. P.G. de Gennes, J. Prost. The Physics of Liquid Cristals (Clarendon Press, 1993).
https://doi.org/10.1093/oso/9780198520245.001.0001
16. F. Brochard, P.G. De Gennes. J. Phys. 31, 691 (1970) (Paris).
https://doi.org/10.1051/jphys:01970003107069100
17. I.I. Smalyukh, O.D. Lavrentovich, A.N. Kuzmin, A.V. Kachynski, P.N. Prasad. Elasticity-mediated self-organization and colloidal interactions of solid spheres with tangential anchoring in a nematic liquid crystal. Phys. Rev. Lett. 95, 157801 (2005).
https://doi.org/10.1103/PhysRevLett.95.157801
18. I.I. Smalyukh, A.N. Kuzmin, A.V. Kachynski, P.N. Prasad, O.D. Lavrentovich. Appl. Phys. Lett. 86, 021913 (2005).
https://doi.org/10.1063/1.1849839
19. J. Kotar, M. Vilfan, N. Osterman, D. Babiˇc, M.ˇCopiˇc, I. Poberaj. Interparticle potential and drag coefficient in nematic colloids. Phys. Rev. Lett. 96, 207801 (2006).
https://doi.org/10.1103/PhysRevLett.96.207801
20. M.ˇSkarabot, M. Ravnik, S.ˇZumer, U. Tkalec, I. Poberaj, D. Babiˇc, N. Osterman, I. Muˇseviˇc. Interactions of quadrupolar nematic colloids. Phys. Rev. E 77, 031705 (2008).
https://doi.org/10.1103/PhysRevE.77.031705
21. M.ˇSkarabot, M. Ravnik, S.ˇZumer, U. Tkalec, I. Poberaj, D. Babiˇc, N. Osterman, I. Muˇseviˇc. Two-dimensional dipolar nematic colloidal crystals. Phys. Rev. E 76, 051406 (2007).
https://doi.org/10.1103/PhysRevE.76.051406
22. U. Ognysta, A. Nych, V. Nazarenko, I. Muˇseviˇc, M.ˇSkarabot, M. Ravnik, S.ˇZumer, I. Poberaj, D. Babiˇc. 2D interactions and binary crystals of dipolar and quadrupolar nematic colloids. Phys. Rev. Lett. 100, 217803 (2007).
https://doi.org/10.1103/PhysRevLett.100.217803
23. S. Ramaswamy, R. Nityananda, V.A. Gaghunathan, J. Prost. Power-law forces between particles in a nematic. Mol. Cryst. Liq. Cryst. 288, 175 (1996).
https://doi.org/10.1080/10587259608034594
24. A. Nych, U. Ognysta, M. Skarabot, M. Ravnik, S. Zumer, I. Musevic. Assembly and control of 3D nematic dipolar colloidal crystals. Nature Commun. 4, 1489 (2013).
https://doi.org/10.1038/ncomms2486
25. B. Lev, A. Nych, U. Ognysta, S.B. Chernyshuk, V. Nazarenko, M.M. Skarabot, I. Poberaj, D. Babich. N. Osterman, I. Musevic. Anisotropic laser trapping in nematic colloidal dispersion. Eur. Phys. J. E 20, 215 (2006).
https://doi.org/10.1140/epje/i2006-10015-3
26. P.G. de Gennes, J. Prost. The Physics of Liquid Crystals (Clarendon Press, 1993).
https://doi.org/10.1093/oso/9780198520245.001.0001
27. Beom-Kyu Lee, Sung-Jo Kim, Jong-Hyun Kim, Bohdan Lev. Coulomb-like elastic interaction induced by symmetry breaking in nematic liquid crystal colloids. Scientific Reports 7, 15916 (2017).
https://doi.org/10.1038/s41598-017-16200-z
28. S.H. Chen, N.M. Amer. Cellular structures in ferronematics. Phys. Rev. Lett. 51, 2298 (1983).
https://doi.org/10.1103/PhysRevLett.51.2298
29. D. Pires, J-B. Fleury, Y. Galerne. Colloid particles in the interaction field of a disclination line in a nematic phase. Phys. Rev. Lett. 98, 247801 (2007).
https://doi.org/10.1103/PhysRevLett.98.247801
30. S.L. Lopatnikov, V.A. Namiot. Interaction of macromolecules injected it to liquid crystal. Zh. Eksp. Teor. Fiz. 75, 361 (1978).
Downloads
Published
Issue
Section
License
Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.
.png){kind=small}
