Bifurcation properties of nematic liquid crystals exposed to an electric field: Switchability, bistability, and multistability

Handle URI:
http://hdl.handle.net/10754/597668
Title:
Bifurcation properties of nematic liquid crystals exposed to an electric field: Switchability, bistability, and multistability
Authors:
Cummings, L. J.; Cai, C.; Kondic, L.
Abstract:
Bistable liquid crystal displays (LCDs) offer the potential for considerable power savings compared with conventional (monostable) LCDs. The existence of two (or more) stable field-free states that are optically distinct means that contrast can be maintained in a display without an externally applied electric field. An applied field is required only to switch the device from one state to the other, as needed. In this paper we examine the basic physical principles involved in generating multiple stable states and the switching between these states. We consider a two-dimensional geometry in which variable surface anchoring conditions are used to control the steady-state solutions and explore how different anchoring conditions can influence the number and type of solutions and whether or not switching is possible between the states. We find a wide range of possible behaviors, including bistability, tristability, and tetrastability, and investigate how the solution landscape changes as the boundary conditions are tuned. © 2013 American Physical Society.
Citation:
Cummings LJ, Cai C, Kondic L (2013) Bifurcation properties of nematic liquid crystals exposed to an electric field: Switchability, bistability, and multistability. Phys Rev E 88. Available: http://dx.doi.org/10.1103/PhysRevE.88.012509.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Jul-2013
DOI:
10.1103/PhysRevE.88.012509
PubMed ID:
23944476
Type:
Article
ISSN:
1539-3755; 1550-2376
Sponsors:
This work was supported by the NSF under Grants No. DMS-0908158 and No. DMS-1211713. L. J. C. also gratefully acknowledges partial support from King Abdullah University of Science and Technology in the form of an OCCAM Visiting Fellowship, funded by Award No. KUK-C1-013-04.
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Full metadata record

DC FieldValue Language
dc.contributor.authorCummings, L. J.en
dc.contributor.authorCai, C.en
dc.contributor.authorKondic, L.en
dc.date.accessioned2016-02-25T12:44:04Zen
dc.date.available2016-02-25T12:44:04Zen
dc.date.issued2013-07en
dc.identifier.citationCummings LJ, Cai C, Kondic L (2013) Bifurcation properties of nematic liquid crystals exposed to an electric field: Switchability, bistability, and multistability. Phys Rev E 88. Available: http://dx.doi.org/10.1103/PhysRevE.88.012509.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid23944476en
dc.identifier.doi10.1103/PhysRevE.88.012509en
dc.identifier.urihttp://hdl.handle.net/10754/597668en
dc.description.abstractBistable liquid crystal displays (LCDs) offer the potential for considerable power savings compared with conventional (monostable) LCDs. The existence of two (or more) stable field-free states that are optically distinct means that contrast can be maintained in a display without an externally applied electric field. An applied field is required only to switch the device from one state to the other, as needed. In this paper we examine the basic physical principles involved in generating multiple stable states and the switching between these states. We consider a two-dimensional geometry in which variable surface anchoring conditions are used to control the steady-state solutions and explore how different anchoring conditions can influence the number and type of solutions and whether or not switching is possible between the states. We find a wide range of possible behaviors, including bistability, tristability, and tetrastability, and investigate how the solution landscape changes as the boundary conditions are tuned. © 2013 American Physical Society.en
dc.description.sponsorshipThis work was supported by the NSF under Grants No. DMS-0908158 and No. DMS-1211713. L. J. C. also gratefully acknowledges partial support from King Abdullah University of Science and Technology in the form of an OCCAM Visiting Fellowship, funded by Award No. KUK-C1-013-04.en
dc.publisherAmerican Physical Society (APS)en
dc.titleBifurcation properties of nematic liquid crystals exposed to an electric field: Switchability, bistability, and multistabilityen
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionNew Jersey Institute of Technology, Newark, United Statesen
kaust.grant.numberKUK-C1-013-04en

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