Confinement of two-dimensional rods in slit pores and square cavities

Geigenfeind, Thomas; Rosenzweig, Sebastian; Schmidt, Matthias; Heras, Daniel de las

doi:10.1063/1.4919307

Cited by 55 publications

(48 citation statements)

References 58 publications

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“…Layering behaviors have been also observed in colloidal-polymer mixtures [29,30,31] and in the system of confined two dimensional hard rods [32,33,34,35].…”

Section: Introductionmentioning

confidence: 93%

Biaxial layering transition of hard rodlike particles in narrow slitlike pores

et al. 2018

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The phase behaviour of hard rectangular rods with length L and diameter D is studied in a narrow slit-like pore using the Parsons-Lee density functional theory. Using the restricted orientation approximation, we find strong adsorption at the walls with planar ordering, second order uniaxial-biaxial ordering transitions and first order layering transitions. The layering transition takes place between two fluids having n and n+1 layers, where the layer spacing is in the order of D. In the case of weak shape anisotropy (L/D=3), the coexisting fluids can be either uniaxial or biaxial, while both phases are found to be biaxial for L/D=6and L/D=9. Interestingly, even two or more layering transitions can be observed with increasing density at a given shape anisotropy and pore width. *

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“…Layering behaviors have been also observed in colloidal-polymer mixtures [29,30,31] and in the system of confined two dimensional hard rods [32,33,34,35].…”

Section: Introductionmentioning

confidence: 93%

Biaxial layering transition of hard rodlike particles in narrow slitlike pores

et al. 2018

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“…Recently, liquid-crystalline ordering has been studied in square cavities using density-functional [48] and MC simulation [49]. Domain walls can be stabilised in these systems.…”

Section: Discussionmentioning

confidence: 99%

Domain walls in two-dimensional nematics confined in a small circular cavity

Heras

Velasco

2014

Soft Matter

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Using Monte Carlo simulation, we study a fluid of two-dimensional hard rods inside a small circular cavity bounded by a hard wall, from the dilute regime to the high-density, layering regime. Both planar and homeotropic anchoring of the nematic director can be induced at the walls through a free-energy penalty. The circular geometry creates frustration in the nematic phase and a polarsymmetry configuration with a distorted director field plus two +1/2 disclinations is created. At higher densities, a quasi-uniform structure is observed with a (minimal) director distortion which is relaxed via the formation of orientational domain walls. This novel structure is not predicted by elasticity theory and is similar to the step-like structures observed in three-dimensional hybrid slit pores. We speculate that the formation of domain walls is a general mechanism to relax elastic stresses in conditions of strong surface anchoring and severe spatial confinement.

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“…topology of the defects, domain formation) are examined by density functional theories [26][27][28][29] and Monte Carlo simulations [29][30][31][32]. In slit pores the capillary nematisation and layering transitions are observed for large shape anisotropies with walls favouring homeotropic anchoring [32]. In the case of hard walls, planar ordering and increased nematic ordering can be seen with respect to isotropic and tetratic order [33,34].…”

Section: Introductionmentioning

confidence: 99%

“…In spherical and square cavities the nature of wall induced defective structures (e.g. topology of the defects, domain formation) are examined by density functional theories [26][27][28][29] and Monte Carlo simulations [29][30][31][32]. In slit pores the capillary nematisation and layering transitions are observed for large shape anisotropies with walls favouring homeotropic anchoring [32].…”

Section: Introductionmentioning

confidence: 99%

Ordering of hard rectangles in strong confinement

Gurin

Varga

Gonzalez-Pinto

et al. 2017

The Journal of Chemical Physics

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Using transfer operator and fundamental measure theories, we examine the structural and thermodynamic properties of hard rectangles confined between two parallel hard walls. The side lengths of the rectangle (L and D, L > D) and the pore width (H) are chosen such that maximum two layers are allowed to form in planar order (L is parallel to the wall), while only one in homeotropic order (D is parallel to the wall). We observe three different structures: (i) a low density fluid phase with parallel alignment to the wall, (ii) an intermediate and high density fluid phase with two layers and planar ordering and (iii) a dense single fluid layer with homeotropic ordering. The appearance of these phases and the change in the ordering direction with density is a consequence of the varying close packing structures with L and H. Interestingly, even three different structures can be observed with increasing density if L is close to H.

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Confinement of two-dimensional rods in slit pores and square cavities

Cited by 55 publications

References 58 publications

Biaxial layering transition of hard rodlike particles in narrow slitlike pores

Biaxial layering transition of hard rodlike particles in narrow slitlike pores

Domain walls in two-dimensional nematics confined in a small circular cavity

Ordering of hard rectangles in strong confinement

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