Telephone-cord instabilities in thin smectic capillaries

Biscari, Paolo; Calderer, M. Carme

doi:10.1103/physreve.71.051701

Cited by 8 publications

(8 citation statements)

References 24 publications

(28 reference statements)

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“…Magdeburg, Germany (Biscari and Calderer 2005;Bauman and Phillips 2009) and Kent, Ohio(Antal Jákli, Krüerke, and Nair 2003;T. Ostapenko et al 2014;Salili, Ostapenko, et al 2016) providing information on filament tensions and damping processes (Martin W. Schroder Gerhard Pelzl, and Wolfgang Weissflog 2004;Yao, Spiegelberg, and McKinley 2000;Stannarius, Nemeş, and Eremin 2005;Nemeş 2008;Nemeş et al 2006;Nemes, Eremin, and Stannarius 2006;Petzold et al 2009;Antal Jákli, Krüerke, and Nair 2003;Coleman et al 2003).…”

Section: Dynamical Properties Of Freely Suspended Liquid Crystal Filamentioning

confidence: 99%

Physics of liquid crystals of bent-shaped molecules

2018

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Thermotropic liquid crystals can be formed by various molecular shapes, some discovered over 125 years ago. The simplest and most-studied liquid crystals are made of rodshaped molecules and led to today's omnipresent LCDs. While applied scientists and engineers have been perfecting LCDs, a large group of liquid crystal scientists have become excited about liquid crystals of bent-shaped (banana-shaped) molecules. These compounds were first reported 20 years ago, and since then have taken center stage in current liquid crystal science. The "banana-mania" is due to the fact that even a small kink in the molecular shape leads to fundamentally new properties and phases. In this review we summarize the large variety of novel structures and physical properties, and describe the underlying physics. We emphasize that macroscopic properties depend on both the shape of the molecules and the flexibility of the central core. Most rigid bent-core molecules form smectic and sometimes columnar structures; only a minority forms nematic phases. By contrast, most flexible bent-core molecules form nanostructured nematic phases, including the twist-bend nematic phase discovered very recently.

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Section: Dynamical Properties Of Freely Suspended Liquid Crystal Filamentioning

confidence: 99%

Physics of liquid crystals of bent-shaped molecules

2018

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“…Suppose that K 2 , K 3 ≥ 8c 1 and 0 < |C ⊥ | 2Dq 2 ≤ 1. If (n, P, ω) is a minimizer of E, then the following estimates hold: ||(∇ω × n)|P| − P(|∇ω × n|)|| 2 2,Ω ≤ 2Ē 0 , (4.6)…”

Section: (43)mentioning

confidence: 98%

“…Modeling of static liquid crystal helical filaments can be found in [2,36]. Chevron structures with alternating domains of opposite polarization are also found in some materials [5].…”

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confidence: 98%

Analysis of Nonlocal Electrostatic Effects in Chiral Smectic C Liquid Crystals

Park¹,

Calderer²

2006

SIAM J. Appl. Math.

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We present modeling and analysis of smectic C phases of liquid crystals capable of sustaining spontaneous polarization. The layered liquid crystals are also assumed to be chiral. We study minimization of the total energy subject to electrostatic constraints. In order to determine mathematically and physically relevant boundary conditions, we appeal to the analogy between the current problem and the vorticity in fluids. We place a special emphasis on the nonlocal and selfenergy effects arising from spontaneous polarization. We discuss examples pertaining to the electric field created by the liquid crystal in dielectric medium, and also to the possible role of a domain shape as an energy reduction mechanism.

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“…The energy of a smectic C liquid crystal may be written as the sum of a nematic energy term, which in the simplest approximation is the Frank energy (4), and a smectic term of the form (cf. [11], [15])…”

Section: Applications To Smectics Cmentioning

confidence: 99%

Constant-angle surfaces in liquid crystals

Cermelli

Scala

2007

Philosophical Magazine

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International audienceWe discuss some properties of surfaces in $\rr^3$ whose unit normal vector has constant angle with an assigned direction field. The constant angle condition can be rewritten as an Hamilton-Jacobi equation correlating the surface and the direction field. We focus on examples motivated by the physics of interfaces in liquid crystals and of layered fluids, and examine some properties of the constant-angle surfaces when the direction field is singular along a line (disclination) or at a point (hedgehog). We also show how our results may be used to study the shape of disclination cores

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Telephone-cord instabilities in thin smectic capillaries

Cited by 8 publications

References 24 publications

Physics of liquid crystals of bent-shaped molecules

Physics of liquid crystals of bent-shaped molecules

Analysis of Nonlocal Electrostatic Effects in Chiral Smectic C Liquid Crystals

Constant-angle surfaces in liquid crystals

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