Physical Review E, volume 103, issue 2, publication number 022709

Molecular origin of the heterogeneity in the nematic and smectic liquid crystals: Elastic constants, gradients of order parameters, and visualization of small objects

Filimonova E. S. 2
Khokhlov A R 1
2
 
Institute of Physics, Martin Luther University of Halle-Wittenberg, 06120, Halle (Saale), Germany
Publication typeJournal Article
Publication date2021-02-01
Quartile SCImago
Q1
Quartile WOS
Q1
Impact factor2.4
ISSN24700045, 24700053, 15393755, 15502376, 1063651X, 10953787
Abstract
The formation of heterogeneous nematic and smectic liquid crystals in the general case of an arbitrary geometry is investigated in the framework of molecular-statistical approach [Emelyanenko and Khokhlov, J. Chem. Phys. 142, 204905 (2015)JCPSA60021-960610.1063/1.4921684]. The molecular aspects of the orientational and translational orderings at the curved surfaces of small solid objects dispersed in liquid crystal are considered, and the differential equations for gradients of the order parameters in vicinities of the small objects are presented in the general form. The five elastic constants are obtained within the same approach, from which we were able to predict that a significant space variations of the order parameters can be observed within the 0.5-0.8μm area around any small object, almost independently of its own dimension. Therefore, the liquid crystals can be a simple tool for the optical visualization of nano-objects. It is also demonstrated that the kind of molecular self-organization (smectic, nematic or conventionally isotropic) at the surfaces of small solid objects can be different from that in the bulk of mesogenic material. Totally we predict eight various combinations of simple states at the surfaces and in the bulk depending on the solid objects' size and temperature. It is also shown that the surfaces of 10μm-size solid objects and larger act almost as flat surfaces, while the surfaces of 1μm-size solid objects and smaller act almost as point defects.

Citations by journals

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Physical Review E
Physical Review E, 3, 75%
Physical Review E
3 publications, 75%
Journal of Molecular Liquids
Journal of Molecular Liquids, 1, 25%
Journal of Molecular Liquids
1 publication, 25%
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American Physical Society (APS)
American Physical Society (APS), 3, 75%
American Physical Society (APS)
3 publications, 75%
Elsevier
Elsevier, 1, 25%
Elsevier
1 publication, 25%
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Emelyanenko A. V. et al. Molecular origin of the heterogeneity in the nematic and smectic liquid crystals: Elastic constants, gradients of order parameters, and visualization of small objects // Physical Review E. 2021. Vol. 103. No. 2. 022709
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Emelyanenko A. V., Filimonova E. S., Khokhlov A. R., Khokhlov A. R. Molecular origin of the heterogeneity in the nematic and smectic liquid crystals: Elastic constants, gradients of order parameters, and visualization of small objects // Physical Review E. 2021. Vol. 103. No. 2. 022709
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TY - JOUR
DO - 10.1103/PhysRevE.103.022709
UR - https://doi.org/10.1103%2FPhysRevE.103.022709
TI - Molecular origin of the heterogeneity in the nematic and smectic liquid crystals: Elastic constants, gradients of order parameters, and visualization of small objects
T2 - Physical Review E
AU - Emelyanenko, A. V.
AU - Filimonova, E. S.
AU - Khokhlov, A R
AU - Khokhlov, Alexei R.
PY - 2021
DA - 2021/02/01 00:00:00
PB - American Physical Society (APS)
IS - 2
VL - 103
SN - 2470-0045
SN - 2470-0053
SN - 1539-3755
SN - 1550-2376
SN - 1063-651X
SN - 1095-3787
ER -
BibTex
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BibTex Copy
@article{2021_Emelyanenko
author = {A. V. Emelyanenko and E. S. Filimonova and A R Khokhlov and Alexei R. Khokhlov},
title = {Molecular origin of the heterogeneity in the nematic and smectic liquid crystals: Elastic constants, gradients of order parameters, and visualization of small objects},
journal = {Physical Review E},
year = {2021},
volume = {103},
publisher = {American Physical Society (APS)},
month = {feb},
url = {https://doi.org/10.1103%2FPhysRevE.103.022709},
number = {2},
doi = {10.1103/PhysRevE.103.022709}
}
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