4.7 Article

Modeling smectic layers in confined geometries: Order parameter and defects

Journal

PHYSICAL REVIEW E
Volume 90, Issue 3, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.90.032507

Keywords

-

Funding

  1. NSF [DMR-0605889, DMR-1106014, DMR-1409658]
  2. Direct For Mathematical & Physical Scien
  3. Division Of Materials Research [1106014] Funding Source: National Science Foundation
  4. Division Of Materials Research
  5. Direct For Mathematical & Physical Scien [1409658] Funding Source: National Science Foundation

Ask authors/readers for more resources

We identify problems with the standard complex order parameter formalism for smectic-A (SmA) liquid crystals and discuss possible alternative descriptions of smectic order. In particular, we suggest an approach based on the real smectic density variation rather than a complex order parameter. This approach gives reasonable numerical results for the smectic layer configuration and director field in sample geometries and can be used to model smectic liquid crystals under nanoscale confinement for technological applications.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.7
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Correction Chemistry, Physical

Molecular field theory for biaxial smectic A liquid crystals (vol 139, 134902, 2013)

T. B. T. To, T. J. Sluckin, G. R. Luckhurst

JOURNAL OF CHEMICAL PHYSICS (2020)

Article Physics, Multidisciplinary

Liquid crystal director fields in three-dimensional non-Euclidean geometries

Jean-Francois Sadoc, Remy Mosseri, Jonathan Selinger

NEW JOURNAL OF PHYSICS (2020)

Review Physics, Condensed Matter

Director Deformations, Geometric Frustration, and Modulated Phases in Liquid Crystals

Jonathan Selinger

Summary: This article analyzes modulated phases in liquid crystals, including the long-established cholesteric and blue phases and the recently discovered twist-bend, splay-bend, and splay nematic phases. The analysis is based on the concept of four fundamental modes of director deformation and discusses how the liquid crystal forms a complex global phase when developing a certain type of spontaneous order.

ANNUAL REVIEW OF CONDENSED MATTER PHYSICS (2022)

Article Engineering, Multidisciplinary

Violation of Ericksen Inequalities in Lyotropic Chromonic Liquid Crystals

Cheng Long, Jonathan Selinger

Summary: By analyzing the elastic theory for nematic liquid crystals, three regimes of elastic constants can be distinguished. One regime satisfies the Ericksen inequalities and has a uniform ground state for the director field. In another regime, certain necessary inequalities are violated and the free energy becomes thermodynamically unstable. In the intermediate regime, the Ericksen inequalities are violated but the system remains stable. Remarkably, lyotropic chromonic liquid crystals fall into this intermediate regime, and the nonuniform structure of the director field is found to depend sensitively on the system geometry.

JOURNAL OF ELASTICITY (2023)

Review Chemistry, Physical

Les vertus des defauts: The scientific works of the late Mr Maurice Kleman analysed, discussed and placed in historical context, with particular stress on dislocation, disclination and other manner of local material disbehaviour

Timothy J. Sluckin

Summary: In memory of Maurice Kleman, this article discusses the history of defects in condensed matter, particularly in the context of dislocations, disclinations, and defects in liquid crystals. Maurice's contributions in this field, as well as his interdisciplinary approach combining mathematics, physics, material science, and biology, are highlighted.

LIQUID CRYSTALS REVIEWS (2022)

Article Engineering, Multidisciplinary

Jerry Ericksen: Liquid Crystal Pioneer

Timothy J. J. Sluckin, M. Carme Calderer

Summary: This paper gives a brief summary of Jerry Ericksen's major contributions to the construction of the continuum theory of nematic liquid crystals in the 1960s, as well as the consequent giant impact on the field.

JOURNAL OF ELASTICITY (2022)

Article Physics, Multidisciplinary

The effect of defects on magnetic droplet nucleation

Federico Ettori, Timothy J. Sluckin, Paolo Biscari

Summary: In this paper, the influence of defects and impurities on the timing and character of (re)ordering or disordering transitions in two-dimensional magnetic systems is analysed. The classical JMAK theory is adapted to consider the effects of defects on various parameters such as free energy barriers, critical droplet area, and metastable time. The predictions resulting from this analysis are validated using Monte-Carlo simulations and the Glauber dynamics method, providing reliable time-dependent results. Finite-size effects and the dependence of the spinodal line on system size, defect fraction, and external field are also investigated.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2023)

Article Chemistry, Physical

Explicit demonstration of geometric frustration in chiral liquid crystals

Cheng Long, Jonathan V. Selinger

Summary: Many materials exhibit geometric frustration due to the compromise between ideal local structure and geometric constraints. This paper investigates the structures formed by chiral liquid crystals under different spatial constraints, and analyzes the relative free energies using theory and simulations.

SOFT MATTER (2023)

Article Materials Science, Multidisciplinary

Theoretical model of an electrically tunable liquid-crystal-based contact lens

O. Sova, T. J. Sluckin, S. Kaur, H. F. Gleeson, V. Reshetnyak

Summary: This paper constructs a theoretical model for the electronic liquid crystal contact lens for the correction of presbyopia. The study shows good agreement between theory and experimental data, although the precise parameters of the lens differ slightly from the original design. The model is useful for engineering optimization of the existing prototype.

OPTICAL MATERIALS EXPRESS (2023)

Article Physics, Fluids & Plasmas

Modulated phases of nematic liquid crystals induced by tetrahedral order

Michely P. Rosseto, Jonathan Selinger

Summary: Recent theoretical research has developed a framework to understand director deformations and modulated phases in nematic liquid crystals. Four fundamental director deformation modes are considered, including a fourth mode related to saddle-splay. The research shows that this mode can induce spontaneous cholesteric or splay nematic phases.

PHYSICAL REVIEW E (2022)

Article Chemistry, Physical

Coarse-grained theory for motion of solitons and skyrmions in liquid crystals

Cheng Long, Jonathan Selinger

Summary: Applied electric fields can induce motion of skyrmions in chiral nematic liquid crystals. A coarse-grained approach is developed to describe the dynamics of skyrmions. The results show that skyrmions move in a direction perpendicular to the induced tilt of the background director.

SOFT MATTER (2021)

Article Chemistry, Physical

Geometry and mechanics of disclination lines in 3D nematic liquid crystals

Cheng Long, Xingzhou Tang, Robin L. B. Selinger, Jonathan Selinger

Summary: In the study of disclination structures in 3D nematic liquid crystals, vectors and tensors are used to represent the orientation and higher-order structure of disclinations based on analysis of director deformation modes and nematic order tensor inside the disclination core. This geometric analysis method is applied to investigate how the structure changes along the contour length under different types of forces acting on disclinations.

SOFT MATTER (2021)

Article Physics, Multidisciplinary

Alignment-induced reconfigurable walls for patterning and assembly of liquid crystal skyrmions

Ayhan Duzgun, Avadh Saxena, Jonathan Selinger

Summary: Skyrmions have attracted interest for their topological properties and unique potential for applications such as data storage and soft robotics. They behave like particles and can be controlled by an electric field, surface anchoring, and light, despite not being real particles. They can be used as building blocks for new experimental efforts and applications.

PHYSICAL REVIEW RESEARCH (2021)

Article Physics, Fluids & Plasmas

Alignment of a topological defect by an activity gradient

Xingzhou Tang, Jonathan Selinger

Summary: The modeling of a topological defect with a charge of +1/2 moving in an activity gradient using three methods demonstrates that the defect orientation aligns in the presence of the gradient, offering a potential method for controlling defect motion.

PHYSICAL REVIEW E (2021)

Article Communication

Innovation on the web: the end of the S-curve?

Maria Priestley, T. J. Sluckin, Thanassis Tiropanis

INTERNET HISTORIES (2020)

No Data Available