2011
DOI: 10.1039/c1sm05813d
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Topological defects of nematic liquid crystals confined in porous networks

Abstract: We study the formation of topological defects in nematic liquid crystals confined in open bicontinuous networks produced in glass by femtosecond laser micromachining. We obtain a careful classification of the number and localisation of the defects as a function of the topological properties of the network. Our findings lead to a general formula that predicts the total topological charge in open complex networks, thus complementing the classic Stein-Gauss theorem. Our result provides a justification for the obs… Show more

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Cited by 40 publications
(36 citation statements)
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References 26 publications
(38 reference statements)
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“…(2) To find a material which exhibits, at least in some directions, a large ratio between weight and fracture toughness [186][187][188][189][190][191][192][193][194][195]. 3To find a deformable porous material saturated by an electrically or magnetically active nematic fluid, to enhance Darcy dissipation to control the propagation of electro-or magneto-nematic waves [196][197][198][199]. (4) To find an adaptive material endowed with an embedded sensing system activating variations in mechanical constitutive parameters; for example: a beam with a section moment of inertia that can be modified by the actuation driven by mechanical wave propagation or by an electrical signal, or other kinds of smart materials for bone fracture repair purposes [200][201][202][203][204][205][206][207][208][209][210][211][212][213][214].…”
Section: Examples Of Possible Implementations Of the Mission Statementmentioning
confidence: 99%
“…(2) To find a material which exhibits, at least in some directions, a large ratio between weight and fracture toughness [186][187][188][189][190][191][192][193][194][195]. 3To find a deformable porous material saturated by an electrically or magnetically active nematic fluid, to enhance Darcy dissipation to control the propagation of electro-or magneto-nematic waves [196][197][198][199]. (4) To find an adaptive material endowed with an embedded sensing system activating variations in mechanical constitutive parameters; for example: a beam with a section moment of inertia that can be modified by the actuation driven by mechanical wave propagation or by an electrical signal, or other kinds of smart materials for bone fracture repair purposes [200][201][202][203][204][205][206][207][208][209][210][211][212][213][214].…”
Section: Examples Of Possible Implementations Of the Mission Statementmentioning
confidence: 99%
“…An interesting recent development, very different from display applications where defects must be avoided at any price, is the research on well-controlled defect configurations and ways of applying them. [1][2][3][4][5][6][7][8][9][10][11][12] A fascinating special case is given by LC droplets 13,14 and shells 15,16 since the spherical topology in combination with planar alignment (director n in the plane of the drop/shell surface) ensures specific configurations of topo- logical defects (disclinations) on the surface, 17 always with a net sum s = 2. The parameter s is the winding number that specifies how many full turns the director (or its projection on the surface) rotates around a defect.…”
Section: Introductionmentioning
confidence: 99%
“…Studies of liquid-crystalline textures of small molecules confined to volumes of differing micro-/nano-size, shape, and topology (e.g. droplets [7,8] to 3D periodic networks [9]) show that such textures are highly dependent on the shape of the confining volume, orientational symmetries of the ordered phases [10,11], and, crucially, the anchoring of alignment at the confining surface [12]. Analogous alignment may be expected from the spontaneously formed interface between unlike components, posing a basic question, do segments align parallel (homogeneous) or normal (homeotropic) to inter-domain surfaces?…”
mentioning
confidence: 99%