Partially Annealed Disorder and Collapse of Like-Charged Macroions

Mamasakhlisov, Y. Sh.; Naji, Ali; Podgornik, Rudolf

doi:10.1007/s10955-008-9635-7

Cited by 30 publications

(27 citation statements)

References 55 publications

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“…While characteristic properties of disorder induced interactions in confined LCs are similar to the general behavior found in systems with monopolar charge disorder in the context of EM Casimir effect or Coulomb fluids [16][17][18][19][20][21][22][23], our results nevertheless show a fundamental difference between this latter case and the confined LCs. The easy direction disorder turns out to become important in general only in an intermediate range of intersurface separations-or, in other words, for intermediate strength of the anchoring energy-and becomes negligible (relative to the pseudo-Casimir contribution) both for very small and very large separations.…”

Section: Discussionsupporting

confidence: 78%

“…They have been shown to cause a pronounced effect on the interactions between these disorder inducing surfaces mostly via the coupling between the thermal fluctuations and the surface induced disorder. This coupling leads, after an appropriate averaging depending on the nature of the disorder [18], to additional free energy terms that depend on the separation between apposed surfaces. This disorder-induced interaction can be sometimes larger than the standard Casimir interaction and should thus be at least in principle easier to detect.…”

Section: Introductionmentioning

confidence: 99%

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Pseudo-Casimir interactions across nematic films with disordered anchoring axis

Haddadan

Naji

Seifi

et al. 2014

J. Phys.: Condens. Matter

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We consider the effective pseudo-Casimir interaction forces mediated by a nematic liquidcrystalline film bounded by two planar surfaces, one of which imposes a random (disordered) distribution of the preferred anchoring axis in the so-called easy direction. We consider both the case of a quenched as well as an annealed disorder for the easy direction on the disordered surface and analyze the resultant fluctuation-induced interaction between the surfaces. In the case of quenched disorder, we show that the disorder effects appear additively in the total interaction and are dominant at intermediate inter-surface separations. Disorder effects are shown to be unimportant at both very small and very large separations. In the case of annealed disorder its effects are non-additive in the total inter-surface interaction and can be rationalized in terms of a renormalized extrapolation length.

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Section: Discussionsupporting

confidence: 78%

Section: Introductionmentioning

confidence: 99%

Pseudo-Casimir interactions across nematic films with disordered anchoring axis

Haddadan

Naji

Seifi

et al. 2014

J. Phys.: Condens. Matter

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“…This effect was attributed to the correlation of opposing charge domains: That is, as the surfaces approached, mobile positively charged domains on each of the surfaces were thought to move laterally (with velocities v domain ) so as to line up opposite the exposed negatively charged domains, driven by the lower free energy associated with such correlations. Theoretical studies of surfaces bearing patterned charge domains predict a long-range attraction as a result of such net correlations between the domains [8][9][10][11][12][13]. In the case of quenched disordered heterogeneous surfaces (i.e., random, and uncorrelated), Naji and Podgornik [14] showed that opposing charge domains which are small (relative to the surface separation) resulted in no interaction at the mean-field level.…”

mentioning

confidence: 99%

Long-Ranged Attraction between Disordered Heterogeneous Surfaces

Silbert

Ben-Yaakov²,

Dror³

et al. 2012

Phys. Rev. Lett.

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Interactions in aqueous media between uniformly charged surfaces are well understood, but most real surfaces are heterogeneous and disordered. Here we show that two such heterogeneous surfaces covered with random charge domains experience a long-range attraction across water that is orders of magnitude stronger than van der Waals forces, even in the complete absence of any charge correlations between the opposing surfaces. We demonstrate that such strong attraction may arise generally, even for overall neutral surfaces, from the inherent interaction asymmetry between equally and between oppositely charged domains.

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“…For two overall neutral surfaces, on the other hand, the effect of charge modulation is expected to be substantial [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Electrostatic attraction between overall neutral surfaces

2016

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Two overall neutral surfaces with positive and negative charged domains ("patches") have been shown in recent experiments to exhibit long-range attraction when immersed in an ionic solution. Motivated by the experiments, we calculate analytically the osmotic pressure between such surfaces within the Poisson-Boltzmann framework, using a variational principle for the surface-averaged free energy. The electrostatic potential, calculated beyond the linear Debye-Hückel theory, yields an overall attraction at large inter-surface separations, over a wide range of the system's controlled length scales. In particular, the attraction is stronger and occurs at smaller separations for surface patches of larger size and charge density. In this large patch limit, we find that the attractionrepulsion crossover separation is inversely proportional to the square of the patch charge-density and to the Debye screening length.

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Partially Annealed Disorder and Collapse of Like-Charged Macroions

Cited by 30 publications

References 55 publications

Pseudo-Casimir interactions across nematic films with disordered anchoring axis

Pseudo-Casimir interactions across nematic films with disordered anchoring axis

Long-Ranged Attraction between Disordered Heterogeneous Surfaces

Electrostatic attraction between overall neutral surfaces

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