The oscillator approach in the mean field model of the highly ordered Langmuir monolayer

Balashov, S. M.; Крылов, В. А.

doi:10.1016/0040-6090(94)90119-8

Cited by 7 publications

(4 citation statements)

References 23 publications

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“…The rods are put on a lattice, hexagonal or distorted hexagonal, reflecting the presence of (albeit short-range) translational order in the hexatic phases. Models of cylindrical rods were considered by Safran, Robbins, and Garoff (1986), Cai andRice (1990, 1992), Kaganer, Osipov, and Peterson (1993), Balashov and Krylov (1994), Shin and Rice (1994), Schmid, Johannsmann, and Halperin (1996), Wang and Gong (1996), and Schmid and Lange (1997). Swanson, Hardy, and Eckhardt (1996) studied a closely related model of ''beaded strings.''…”

Section: A Tilting Transitionsmentioning

confidence: 99%

“…The entropy considered by Kaganer, Osipov, and Peterson (1993) is due to motion of a rod in the hard-core repulsive potential of the six neighbors fixed in the mean positions. Balashov and Krylov (1994) considered a similar problem with the Lennard-Jones potential. The polar interactions between the heads of the molecules, although discussed in the literature (Andelman, Brochard, and Joanny, 1987;Urbakh and Klafter, 1993), were not included in models of the tilting transition.…”

Section: A Tilting Transitionsmentioning

confidence: 99%

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Structure and phase transitions in Langmuir monolayers

1999

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Lipid monolayers on the surface of water have been studied for over a hundred years, but in the last decade there has been a dramatic evolution in our understanding of the structures and phase transitions of these systems, driven by new experimental techniques and theoretical advances. In this review, dense monolayers of simple lipids are described in detail, including structures revealed by x-ray-diffraction experiments, computer simulations, molecular models, and a phenomenological theory of phase transitions. The effects of chirality and the structures of phospholipid monolayers are considered. Open questions and possible approaches to finding answers are discussed.[S0034-6861(99)00203-2] CONTENTS 815

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Section: A Tilting Transitionsmentioning

confidence: 99%

Section: A Tilting Transitionsmentioning

confidence: 99%

Structure and phase transitions in Langmuir monolayers

1999

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“…The more realistic models of monolayers have essentially been of two kinds: rigid rod models, [40][41][42][43][44][45][46][47][48][49][50] and lattice models, [51][52][53][54][55] The latter focus on the relationship between monolayer structure and chain conformation, while the former explore the effects of chain alignment. We discuss them first.…”

Section: Introductionmentioning

confidence: 99%

Liquid phases of Langmuir monolayers

Schmid

Schick

1995

The Journal of Chemical Physics

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Monte Carlo simulation of the solid to super liquid phase transition of Langmuir monolayers using crosssection potentialsThe liquid phases of Langmuir monolayers are studied in a simple continuum model in which molecules are treated as flexible chains made up of rodlike segments, with the head confined to the air-water interface. The model is studied within mean-field approximation. We show that both properties of chain flexibility and of segment rigidity, with concomitant anisotropic rodlike interactions, are needed to produce two stable liquid phases. Uniform tilt can occur in the liquid-condensed phase, but requires a mismatch between the size of the head segment and that of the others comprising the chain. The chain conformational order, and the effect of chain length on phase behavior, are also discussed.

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“…Brushes with LC ordering have been investigated far less than isotropic brushes. [4][5][6][7][8] Recent experiments using Scanning Force Microscopy ͑SFM͒ and Surface Force Apparatus ͑SFA͒ technique revealed a strong correlation between the monolayer structure and their tribology. [9][10][11][12][13] In particularly, the friction force strongly depends not only on the interactions in the monolayer, which in most cases depends on the chemical nature of the chains, but also on the chain length.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear elasticity and friction of liquid-crystalline polymer monolayers

Субботин

Brinke

Куличихин

et al. 1998

The Journal of Chemical Physics

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In the present paper we consider nonlinear elasticity and friction of grafted persistent chains, which are highly stretched in the normal to the surface direction due to orientational interactions. We examine the normal and the lateral forces both in equilibrium and under shear sliding when the monolayer is confined by a bare surface. We show that in the confined monolayer in equilibrium the tilted orientation of the director becomes stable. In the sliding regime the friction force passes through a maximum value. The additional normal force in the sliding regime, when the distance between the surfaces is fixed, is also considered. We show that this force is attractive for small velocities and becomes repulsive for high velocities after the friction force passes through the maximum value.

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The oscillator approach in the mean field model of the highly ordered Langmuir monolayer

Cited by 7 publications

References 23 publications

Structure and phase transitions in Langmuir monolayers

Structure and phase transitions in Langmuir monolayers

Liquid phases of Langmuir monolayers

Nonlinear elasticity and friction of liquid-crystalline polymer monolayers

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