Dynamics of the labyrinthine patterns at the diffuse phase boundaries

Cēbers, A.

doi:10.1590/s0103-97332001000300015

Cited by 6 publications

(7 citation statements)

References 3 publications

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“…Our results for models 1 and 2 show that the transition from the stripe to hexagonal droplet phase goes through a pearling instability that is similar to recent experimental observations. It should be noted that this pearling instability during the stripe-to-hexagonal phase transition has also been observed in other quasi-two-dimensional two-component systems. , …”

Section: Discussionsupporting

confidence: 55%

“…It should be noted that this pearling instability during the stripe-to-hexagonal phase transition has also been observed in other quasi-two-dimensional twocomponent systems. 29,30 We also studied a three-component system with electrostatic interactions between membrane components in model 3. Specifically, we explored the transition from a disordered phase to the hexagonal phase.…”

Section: Discussionmentioning

confidence: 99%

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Kinetic Pathways of Phase Ordering in Lipid Raft Model Systems

2006

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We studied kinetic pathways of order-order transitions in bilayer lipid mixtures using a time-dependent Ginzburg-Landau (TDGL) approach. During the stripe-to-hexagonal phase transition in an incompressible two-component system, the stripe phase first develops a pearl-like instability along the phase boundaries, which grows and drives the stripes to break up into droplets that arrange into a hexagonal pattern. These dynamic features are consistent with recent experimental observations. During the disorder-to-hexagonal phase transition in an incompressible three-component system, the disordered state first passes through a transient stripelike structure, which eventually breaks up into a hexagonal droplet phase. Our results suggest experiments with synthetic vesicles where the stripelike patterns could be observed.

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Section: Discussionsupporting

confidence: 55%

Section: Discussionmentioning

confidence: 99%

Kinetic Pathways of Phase Ordering in Lipid Raft Model Systems

2006

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“…In one approach, the dipolar energy of the system is formulated as a function of its boundary . Another approach writes the free energy in terms of particle concentration expressed as a Ginzburg−Landau expansion similar to eq and combines these terms with a formulation expressing the surface energy . The latter study predicts a further transformation of the labyrinthine pattern into a bubble array when a rotating in-plane magnetic field is superposed on the steady, perpendicular magnetic field.…”

Section: Ferrofluids and Their Compositesmentioning

confidence: 99%

Modulated Phases: Review and Recent Results

Andelman

Rosensweig²

2008

J. Phys. Chem. B

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We consider aspects of patternings that occur in a wide array of physical systems due to interacting combinations of dipolar, interfacial, charge exchange, entropic, and geometric influences. We review well-established phenomena as a basis for discussion of more recent developments. The materials of interest range from bulk inorganic solids and polymer organic melts to fluid colloids. Often, there are unifying principles behind the various modulated structures, such as the competition between surface or line tension and dipolar interaction in thermally reversible systems. Generally, their properties can be understood by free-energy minimization.

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“…In this case the drop forms a flat disk rotating like a hard body. For large values of B this disk developes peaks around its perimenter due to the normal field instability [9,11,13] making an experimental determination of the rotation frequency easy. As can be seen from fig.3 the linear theory again strongly overestimates the rotation frequency whereas the non-linear theory yields substantially smaller results.…”

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confidence: 99%

Shape transformations in rotating ferrofluid drops

2002

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Floating drops of magnetic fluid can be brought into rotation by applying a rotating magnetic field. We report theoretical and experimental results on the transition from a spheroid equilibrium shape to non-axissymmetrical three-axes ellipsoids at certain values of the external field strength. The transitions are continuous for small values of the magnetic susceptibility and show hysteresis for larger ones. In the non-axissymmetric shape the rotational motion of the drop consists of a vortical flow inside the drop combined with a slow rotation of the shape. Nonlinear magnetization laws are crucial to obtain quantitative agreement between theory and experiment.PACS numbers: 47.20.Hw, 47.55.Dz, 75.50.Mm The equilibrium shapes of rotating fluid bodies are of importance in various fields of physics as, e.g., astrophysics [1], nuclear fission [2], plasma [3], and biological physics [4]. The famous controversy between Newton and Cassini on whether the Earth has the form of an oblate or prolate rotational ellipsoid started a series of ingenious investigations of the equilibrium shapes of heavenly bodies including work by Maupertius, MacLaurin, Jacobi, Riemann, Poincaré and others. Among the suprising results discovered are the possibility of threeaxes ellipsoids as shown by Jacobi and the emergence of pear-shaped configurations found by Poincaré. In rotating non-neutral plasmas, laser cooled in a Penning trap, a novel equilibrium state with non-axissymmetric surface has recently been observed [5]. Tank-treading elliptical membranes in a shear flow have been used as a theoretical model for the motion of human red blood cells [6].Experimental investigations of the stationary shapes of rotating bodies in the laboratory usually start with a static drop of fluid floating in another, immiscible fluid of the same density. The rotational motion of the drop is then set up by, e.g., using a rotating shaft [7] or applying an acoustic torque [8]. An elegant way to spin up drops made from polarizable fluids is to use rotating electric [5] or magnetic fields [9,10].In the present letter we report theoretical and experimental investigations of rotating ferrofluid drops and in particular perform the first quantitative study of a transition from a spheroidal to a non-axissymmetric equilibrium shape in this system. Moreover, providing an approximate solution of the hydrodynamic flow problem inside and outside the drop we are able to analyze the rotational motion of the drop shape and to separate it from the internal hydrodynamic flow.Ferrofluids are suspensions of ferromagnetic nanoparticles in suitable carrier liquids combining the hydrodynamic behaviour of a Newtonian fluid with the magnetic properties of a super-paramagnet [11]. A rotating external field induces a rotational motion of the nanoparticles which due to their viscous coupling to the surrounding liquid transfer the angular momentum to the whole drop. The system has been studied previously by Bacri et al. using microdrops with a typical radius of 10 µm, very small surfac...

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Dynamics of the labyrinthine patterns at the diffuse phase boundaries

Cited by 6 publications

References 3 publications

Kinetic Pathways of Phase Ordering in Lipid Raft Model Systems

Kinetic Pathways of Phase Ordering in Lipid Raft Model Systems

Modulated Phases: Review and Recent Results

Shape transformations in rotating ferrofluid drops

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