Self-assembly of lipids in water. Exact results from a one-dimensional lattice model

Pȩkalski, J.; Rogowski, Paweł; Ciach, A.

doi:10.1080/00268976.2014.975765

Cited by 7 publications

(6 citation statements)

References 38 publications

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“…Recently close similarity between the bulk properties of the SALR and the amphiphilic systems has been demonstrated in Ref. [35,36]. Based on this similarity we may expect that our results concern also amphiphilic systems in confinement, but this expectation should be verified.…”

Section: Discussionsupporting

confidence: 69%

Bistability in a self-assembling system confined by elastic walls: Exact results in a one-dimensional lattice model

Pȩkalski

Ciach

Almarza

2015

The Journal of Chemical Physics

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The impact of confinement on self-assembly of particles interacting with short-range attraction and long-range repulsion potential is studied for thermodynamic states corresponding to local ordering of clusters or layers in the bulk. Exact and asymptotic expressions for the local density and for the effective potential between the confining surfaces are obtained for a one-dimensional lattice model introduced by J. Pȩkalski et al. [J. Chem. Phys. 138, 144903 (2013)]. The simple asymptotic formulas are shown to be in good quantitative agreement with exact results for slits containing at least 5 layers. We observe that the incommensurability of the system size and the average distance between the clusters or layers in the bulk leads to structural deformations that are different for different values of the chemical potential µ. The change of the type of defects is reflected in the dependence of density on µ that has a shape characteristic for phase transitions. Our results may help to avoid misinterpretation of the change of the type of defects as a phase transition in simulations of inhomogeneous systems. Finally, we show that a system confined by soft elastic walls may exhibit bistability such that two system sizes that differ approximately by the average distance between the clusters or layers are almost equally probable. This may happen when the equilibrium separation between the soft boundaries of an empty slit corresponds to the largest stress in the confined self-assembling system. C 2015 AIP Publishing LLC. [http://dx

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Section: Discussionsupporting

confidence: 69%

Bistability in a self-assembling system confined by elastic walls: Exact results in a one-dimensional lattice model

Pȩkalski

Ciach

Almarza

2015

The Journal of Chemical Physics

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“…The isotherms very similar to Fig. 3 were obtained for the 1D model with short-range attraction and long-range repulsion (SALR) [15], and for the 1D model of aqueous solution of amphiphilic molecules [20]. In model I and in Ref.…”

supporting

confidence: 73%

Exactly solvable model for self-assembly of hard core–soft shell particles at interfaces

Ciach

Pȩkalski

2017

Soft Matter

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A lattice model with soft repulsion followed by attraction is developed for a monolayer of hybrid core-shell particles self-assembling at an interface. The model is solved exactly in one dimension.One, two or three periodic structures and variety of shapes of the pressure-density isotherms may occur in different versions of the model. For strong interactions the isotherm consists of vertical segments separated by plateaus. The range of order depends strongly on the strength of attraction and on the density. Our results agree with experimental observations.

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“…When the pattern formation is induced by competing attractive and repulsive interactions the size and shape of the confinement was shown to be crucial when the aim is to fabricate a defect free pattern [22] or a chiral structure [23]. The confinement effects on SALR clusters were described also in 1D case, where the aggregates were shown to induce spatial bistability [24] or pressure decrease upon increase of the density [25]. To our knowledge, however, for particles interacting with isotropic competing interactions 2D adsoprtion isotherms have not been described so far.…”

Section: Introductionmentioning

confidence: 99%

Adsorption anomalies in a two-dimensional model of cluster-forming systems

et al. 2020

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Adsorption on a boundary line confining a monolayer of particles self-assembling into clusters is studied by MC simulations. We focus on a system of particles interacting via competing interaction potential in which effectively short-range attraction is followed by long-range repulsion, mimicking the so called SALR system. For the chemical potential values below the order-disorder phase transition the adsorption isotherms were shown to undergo non-standard behavior, i. e. the adsorption exhibits a maximum upon structural transition between structureless and disordered cluster fluid. In particular, we have found that the adsorption decreases for increasing chemical potential when (i) clusters dominate over monomers in the bulk, (ii) the density profile in the direction perpendicular to the confining line exhibits an oscillatory decay, (iii) the correlation function in the layer near the adsorption wall exhibits an oscillatory decay in the direction parallel to this wall. Our report indicates striking differences between simple and complex fluid adsorption processes.

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Self-assembly of lipids in water. Exact results from a one-dimensional lattice model

Cited by 7 publications

References 38 publications

Bistability in a self-assembling system confined by elastic walls: Exact results in a one-dimensional lattice model

Bistability in a self-assembling system confined by elastic walls: Exact results in a one-dimensional lattice model

Exactly solvable model for self-assembly of hard core–soft shell particles at interfaces

Adsorption anomalies in a two-dimensional model of cluster-forming systems

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