2005
DOI: 10.1021/jp0524431
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Stability Analysis of Three-Dimensional Colloidal Domains:  Quadratic Fluctuations

Abstract: Three-dimensional domain patterns can self-assemble in a charged colloidal suspension with competing short-range attraction and long-range Yukawa repulsion. Following the investigation of the ground-state domain shapes in our previous paper, we study the stability of isolated spherical, cylindrical, and lamellar domains with respect to shape fluctuations on boundaries. In the framework of the continuum model, we expand the free energy variation to quadratic terms under the constraint of constant volume. For th… Show more

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Cited by 8 publications
(9 citation statements)
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“…DFT can also give insights into the relative stability of various cluster shapes. 76 Assuming that the main free energy of the clusters can be split between surface and core contributions, different cluster morphologies can be compared. This approach shows that models with SALR interactions can give rise to equilibrium cluster shapes that are far from spherical.…”
Section: ■ Liquid-state Theorymentioning
confidence: 99%
“…DFT can also give insights into the relative stability of various cluster shapes. 76 Assuming that the main free energy of the clusters can be split between surface and core contributions, different cluster morphologies can be compared. This approach shows that models with SALR interactions can give rise to equilibrium cluster shapes that are far from spherical.…”
Section: ■ Liquid-state Theorymentioning
confidence: 99%
“…A realistic framework for the modelization of these systems is represented by DLVO interaction potentials [16], which combine short-range attractions and long-range repulsions. A suited choice of DLVO models has in fact allowed to reproduce, by means of molecular dynamics calculations, many experimental observations, like the cluster phase and the gel-like slow dynamics [13][14][15].On the other hand, competing interactions have been studied in many other systems, ranging from spin systems to aqueous surfactants or mixtures of block copolymers, and often lead to pattern formation or to the creation of periodic phases [17][18][19][20][21][22][23].In this paper, we simulate by molecular dynamics a system composed of monodisperse particles, interacting with a short range attraction and a long range repulsion in analogy with DLVO models, for a large range of temperatures and volume fractions. At low temperature, increasing the volume fraction in the region of phase space where the system forms a percolating network and waiting long enough, we observe that the system spontaneously orders, to form a periodic structure composed by parallel columns of particles.…”
mentioning
confidence: 99%
“…On the other hand, competing interactions have been studied in many other systems, ranging from spin systems to aqueous surfactants or mixtures of block copolymers, and often lead to pattern formation or to the creation of periodic phases [17][18][19][20][21][22][23].…”
mentioning
confidence: 99%
“…Our approach can be generalized to investigate other inorganic and organic elastic membrane systems, [35][36][37] including the self-assembled polymer materials and colloidal aggregations. 38,39 In the actual devices, the deformed SWCNT may be supported by the substrate. The present results provide the theoretical boundary for this CNT-based devices.…”
Section: Discussionmentioning
confidence: 99%
“…Our approach can be generalized to investigate other inorganic and organic elastic membrane systems [35,36], including the self-assembled polymer materials and colloidal aggregations. [37,38]…”
mentioning
confidence: 99%