scholarly journals Structural and Dynamical Behaviour of Colloids with Competing Interactions Confined in Slit Pores

2021 ◽  
Vol 22 (20) ◽  
pp. 11050
Author(s):  
Horacio Serna ◽  
Wojciech T. Góźdź ◽  
Eva G. Noya

Systems with short-range attractive and long-range repulsive interactions can form periodic modulated phases at low temperatures, such as cluster-crystal, hexagonal, lamellar and bicontinuous gyroid phases. These periodic microphases should be stable regardless of the physical origin of the interactions. However, they have not yet been experimentally observed in colloidal systems, where, in principle, the interactions can be tuned by modifying the colloidal solution. Our goal is to investigate whether the formation of some of these periodic microphases can be promoted by confinement in narrow slit pores. By performing simulations of a simple model with competing interactions, we find that both the cluster-crystal and lamellar phases can be stable up to higher temperatures than in the bulk system, whereas the hexagonal phase is destabilised at temperatures somewhat lower than in bulk. Besides, we observed that the internal ordering of the lamellar phase can be modified by changing the pore width. Interestingly, for sufficiently wide pores to host three lamellae, there is a range of temperatures for which the two lamellae close to the walls are internally ordered, whereas the one at the centre of the pore remains internally disordered. We also find that particle diffusion under confinement exhibits a complex dependence with the pore width and with the density, obtaining larger and smaller values of the diffusion coefficient than in the corresponding bulk system.

1994 ◽  
Vol 26 (04) ◽  
pp. 1022-1043 ◽  
Author(s):  
Xinhong Ding

Many disordered random systems in applications can be described by N randomly coupled Ito stochastic differential equations in : where is a sequence of independent copies of the one-dimensional Brownian motion W and ( is a sequence of independent copies of the ℝ p -valued random vector ξ. We show that under suitable conditions on the functions b, σ, K and Φ the dynamical behaviour of this system in the N → (limit can be described by the non-linear stochastic differential equation where P(t, dx dy) is the joint probability law of ξ and X(t).


2000 ◽  
Vol 112 (4) ◽  
pp. 1984-1994 ◽  
Author(s):  
Karl P. Travis ◽  
Keith E. Gubbins

Soft Matter ◽  
2009 ◽  
Vol 5 (12) ◽  
pp. 2390 ◽  
Author(s):  
Juan Carlos Fernandez Toledano ◽  
Francesco Sciortino ◽  
Emanuela Zaccarelli

In this paper we give an overview of cubic liquid-crystalline mesophases formed by amphiphiles. In § 1 we present brief descriptions of the principal types of translationally ordered lyotropic phases, and describe the locations in the phase diagrams where the different types of cubic phase occur. In §2 we discuss the various forces that act between bilayers. These transverse interactions are relatively straightforward to quantify in the case of lamellar phases, but are more complex for cubic phases, because of the non-planar geometry. In §3 we show how an intrinsic desire for interfacial curvature can lead to a state of physical frustration. We then introduce the curvature elastic energy, and describe how this may be related to the stress profile across the bilayer. In the following sections we focus attention on the inverse (water-in-oil) versions of the non-lamellar phases, although analogous effects also operate in the normal topology (oil-in-water) structures. In §4 we briefly describe the inverse hexagonal phase, which is the simplest inverse phase with curved interfaces. This allows us to illustrate the role of hydrocarbon chain packing frustration in a rather clear way before coming on to the more subtle interplay between packing and curvature frustration, characteristic of the bicontinuous cubic phases, which is discussed in §5. In §6 we describe an entirely different class of cubic phases, with positive interfacial gaussian curvature. These cubic phases are composed of complex packings of discrete micellar or inverse micellar aggregates, which may be quasi-spherical and/or anisotropic in shape. Finally, in §7 we discuss geometric aspects of transitions between lamellar, hexagonal and cubic phases, and show how determination of the epitaxial relations between phases can shed light on the precise mechanisms of the phase transitions.


2006 ◽  
Vol 74 (1) ◽  
Author(s):  
A. de Candia ◽  
E. Del Gado ◽  
A. Fierro ◽  
N. Sator ◽  
M. Tarzia ◽  
...  

2011 ◽  
Vol 109 (23-24) ◽  
pp. 2981-2987 ◽  
Author(s):  
A. Coniglio ◽  
A. de Candia ◽  
A. Fierro

2002 ◽  
Vol 117 (17) ◽  
pp. 8162-8163 ◽  
Author(s):  
Thomas M. Truskett ◽  
Pablo G. Debenedetti ◽  
Salvatore Torquato

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