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Zheng W. Anchoring-mediated stick-slip winding of cholesteric liquid crystals. Phys Rev E 2024; 109:044701. [PMID: 38755887 DOI: 10.1103/physreve.109.044701] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/11/2023] [Accepted: 03/13/2024] [Indexed: 05/18/2024]
Abstract
The stick-slip phenomenon widely exists in contact mechanics, from the macroscale to the nanoscale. During cholesteric-nematic unwinding by external fields, there is controversy regarding the role of planar surface anchoring, which may induce discontinuous stick-slip behaviors despite the well-known continuous transitions observed in past experiments. Here we observe three regimes, namely, constrained, stick-slip, and sliding-slip, under mechanical winding with different anchoring conditions, and measure the corresponding forces by the surface force balance. These behaviors result from a balance of cholesteric elastic torque and surface torque, reminiscent of the slip morphology on frictional substrates [T. G. Sano et al., Phys. Rev. Lett. 118, 178001 (2017)10.1103/PhysRevLett.118.178001], and provide evidence of dynamics in static rotational friction.
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Affiliation(s)
- Weichao Zheng
- Department of Chemistry, Physical and Theoretical Chemistry Laboratory, University of Oxford, Oxford OX1 3QZ, United Kingdom
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Sun P, Wang Y, Yuan C, Jia S, Shen D, Zheng Z. Tailoring ultra-broadband vector beams via programming the electric field vector of light. OPTICS EXPRESS 2022; 30:28506-28513. [PMID: 36299044 DOI: 10.1364/oe.462908] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/02/2022] [Accepted: 07/08/2022] [Indexed: 06/16/2023]
Abstract
With spatially inhomogeneous polarization, vector beam (VB) has created substantial opportunities in both optics and photonics. However, the limited spectral bandwidth of VB generator hinders further advances for higher level of integration and functionality. Here, an innovative approach of programming the electric field vector of light is proposed to tailor arbitrary ultra-broadband VBs, in parallel among an unprecedented wavelength range over 1000 nm covering the visible and NIR band. We demonstrate the twisted nematic liquid crystals (TNLCs), specifically arranged in-situ by a dynamic programmable photopatterning, enable to directly manipulate the electric field vector of transmitted light into the VB as desired. Furthermore, the electrical responsiveness of TNLCs yields a dynamic multifunctionality between the VB and Gaussian beam. We anticipate this ultra-broadband VB generator would be promising for a variety of applications like optical manipulation, super-resolution imaging, and integrated optical communication system.
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Cousins JRL, Wilson SK, Mottram NJ, Wilkes D, Weegels L. Transient flow-driven distortion of a nematic liquid crystal in channel flow with dissipative weak planar anchoring. Phys Rev E 2021; 102:062703. [PMID: 33466031 DOI: 10.1103/physreve.102.062703] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/22/2020] [Accepted: 11/09/2020] [Indexed: 11/07/2022]
Abstract
Motivated by the one-drop-filling (ODF) method for the industrial manufacturing of liquid crystal displays, we analyze the pressure-driven flow of a nematic in a channel with dissipative weak planar anchoring at the boundaries of the channel. We obtain quasisteady asymptotic solutions for the director angle and the velocity in the limit of small Leslie angle, in which case the key parameters are the Ericksen number and the anchoring strength parameter. In the limit of large Ericksen number, the solution for the director angle has narrow reorientational boundary layers and a narrow reorientational internal layer separated by two outer regions in which the director is aligned at the positive Leslie angle in the lower half of the channel and the negative Leslie angle in the upper half of the channel. On the other hand, in the limit of small Ericksen number, the solution for the director angle is dominated by splay elastic effects with viscous effects appearing at first order. As the Ericksen number varies, there is a continuous transition between these asymptotic behaviors, and in fact the two asymptotic solutions capture the behavior rather well for all values of the Ericksen number. The steady-state value of the director angle at the boundaries and the timescale of the evolution toward this steady-state value in the asymptotic limits of large and small Ericksen number are determined. In particular, using estimated parameter values for the ODF method, it is found that the boundary director rotation timescale is substantially shorter than the timescale of the ODF method, suggesting that there is sufficient time for significant transient flow-driven distortion of the nematic molecules at the substrates from their required orientation to occur.
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Affiliation(s)
- J R L Cousins
- Department of Mathematics and Statistics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, United Kingdom
| | - S K Wilson
- Department of Mathematics and Statistics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, United Kingdom
| | - N J Mottram
- Department of Mathematics and Statistics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, United Kingdom
| | - D Wilkes
- Merck KGaA, Frankfurter Strasse 250, Darmstadt 64293, Germany
| | - L Weegels
- Merck KGaA, Frankfurter Strasse 250, Darmstadt 64293, Germany
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Tenishchev SS, Kiselev AD, Ivanov AV, Uzdin VM. Multiple minimum-energy paths and scenarios of unwinding transitions in chiral nematic liquid crystals. Phys Rev E 2020; 100:062704. [PMID: 31962453 DOI: 10.1103/physreve.100.062704] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/10/2019] [Indexed: 11/07/2022]
Abstract
We apply the minimum-energy paths (MEPs) approach to study the helix unwinding transition in chiral nematic liquid crystals. A mechanism of the transition is determined by a MEP passing through a first order saddle point on the free energy surface. The energy difference between the saddle point and the initial state gives the energy barrier of the transition. Two starting approximations for the paths are used to find the MEPs representing different transition scenarios: (a) the director slippage approximation with in-plane helical structures and (b) the anchoring breaking approximation that involves the structures with profound out-of-plane director deviations. It is shown that, at sufficiently low voltages, the unwinding transition is solely governed by the director slippage mechanism with the planar saddle-point structures. When the applied voltage exceeds its critical value below the threshold of the Fréedericksz transition, the additional scenario through the anchoring breaking transitions is found to come into play. For these transitions, the saddle-point structure is characterized by out-of-plane deformations localized near the bounding surface. The energy barriers for different paths of transitions are computed as a function of the voltage and the anchoring energy strengths.
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Affiliation(s)
- Semen S Tenishchev
- Department of Mathematics, ITMO University, Kronverkskiy, 49, 197101 Saint Petersburg, Russia.,Faculty of Physics, Saint Petersburg State University, 199034 Saint Petersburg, Russia
| | - Alexei D Kiselev
- Department of Mathematics, ITMO University, Kronverkskiy, 49, 197101 Saint Petersburg, Russia.,Faculty of Physics, Saint Petersburg State University, 199034 Saint Petersburg, Russia
| | - Aleksei V Ivanov
- Faculty of Physics, Saint Petersburg State University, 199034 Saint Petersburg, Russia.,Science Institute and Faculty of Physical Sciences, University of Iceland VR-III, 107 Reykjavík, Iceland
| | - Valery M Uzdin
- Department of Mathematics, ITMO University, Kronverkskiy, 49, 197101 Saint Petersburg, Russia.,Faculty of Physics, Saint Petersburg State University, 199034 Saint Petersburg, Russia
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Boniello G, Luo Y, Beller DA, Serra F, Stebe KJ. Colloids in confined liquid crystals: a plot twist in the lock-and-key mechanism. SOFT MATTER 2019; 15:5220-5226. [PMID: 31172164 DOI: 10.1039/c9sm00788a] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
By confining soft materials within tailored boundaries it is possible to design energy landscapes to address and control colloidal dynamics. This provides unique opportunities to create reconfigurable, hierarchically organized structures, a leading challenge in materials science. Example soft matter systems include liquid crystals. For instance, when nematic liquid crystals (NLCs) are confined in a vessel with undulated boundaries, bend and splay distortions can be used to position particles. Here we confine this system in a twist cell. We also study cholesteric liquid crystals, which have an "intrinsic" twist distortion which adds to the ones imposed by the solid boundaries. The cholesteric pitch competes with the other length scales in the system (colloid radius, vessel thickness, wavelength of boundary undulations), enriching the possible configurations. Depending on the pitch-to-radius and pitch-to-thickness ratios the interaction can be attractive or repulsive. By tuning the pitch (i.e. changing the concentration of the chiral dopant), it is possible to selectively promote or inhibit particle trapping at the docking sites.
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Affiliation(s)
- Giuseppe Boniello
- Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, PA 19104, USA.
| | - Yimin Luo
- Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, PA 19104, USA.
| | - Daniel A Beller
- Department of Physics, University of California, Merced, CA 95343, USA
| | - Francesca Serra
- Physics and Astronomy, Johns Hopkins University, Baltimore, MD 21218, USA.
| | - Kathleen J Stebe
- Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, PA 19104, USA.
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de Souza RF, Granado SA, Evangelista LR, Lenzi EK, Li Q, Zola RS. Effect of dynamically changing the substrate's easy axis on the response time of nematic samples. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:505401. [PMID: 30457123 DOI: 10.1088/1361-648x/aaea51] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
Recent discoveries of advanced photocontrolled materials have kindled a great deal of interest on their use as command surfaces that switch easy axis under light radiation. One noticeable point when using switchable surfaces on any application is how the dynamical process propagates to the bulk directors. In this paper, we theoretically study the effect of a relaxing easy axis over time on a nematic sample when finite anchoring energy and surface viscosity are included. We first consider the case where just one of the substrates decay over time in an initially distorted director organization. Next, we assume that both substrates can be switched simultaneously. From the calculated director we obtained the optical profile and finally the molecular response time of the material. The response time depends on both the materials and the surfaces properties including its decay time. Our results might be used for understanding and engineering liquid crystal displays and other electro-optical devices with photocontrolled alignment layers.
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Affiliation(s)
- R F de Souza
- Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo, 5790-87020-900 Maringá, Paraná, Brazil
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