Publisher's Note: Liquid-crystalline Casimir effect in the presence of a patterned substrate [Phys. Rev. E<b>70</b>, 041701 (2004)]

Haddadan, Fahimeh Karimi Pour; Schlesener, F.; Dietrich, S.

doi:10.1103/physreve.70.059901

Cited by 13 publications

(15 citation statements)

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“…Beside surfaces with a homogeneous adsorption preference [14,15], the critical Casimir force has been investigated in the presence of a chemically structured substrate [16], leading to a laterally varying adsorption preference, as well as in the presence of a substrate with a gradient in the adsorption preference [17]. Theoretical investigations of the critical Casimir force for inhomogeneous BC have considered the film geometry in the presence of a chemically striped substrate, studied within mean-field theory [46], within Gaussian approximation [47,48], and recently by MC simulations [8,39,44]. The critical Casimir force in the presence of a chemically structured substrate has also been studied within the Derjaguin approximation for a sphere [49] and a cylindrical colloid [50] close to a planar wall.…”

Section: Introductionmentioning

confidence: 99%

Critical Casimir force in the presence of random local adsorption preference

Toldin

2015

Phys. Rev. E

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We study the critical Casimir force for a film geometry in the Ising universality class. We employ a homogeneous adsorption preference on one of the confining surfaces, while the opposing surface exhibits quenched random disorder, leading to a random local adsorption preference. Disorder is characterized by a parameter p, which measures, on average, the portion of the surface that prefers one component, so that p=0,1 correspond to homogeneous adsorption preference. By means of Monte Carlo simulations of an improved Hamiltonian and finite-size scaling analysis, we determine the critical Casimir force. We show that by tuning the disorder parameter p, the system exhibits a crossover between an attractive and a repulsive force. At p=1/2, disorder allows to effectively realize Dirichlet boundary conditions, which are generically not accessible in classical fluids. Our results are relevant for the experimental realizations of the critical Casimir force in binary liquid mixtures.

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Section: Introductionmentioning

confidence: 99%

Critical Casimir force in the presence of random local adsorption preference

Toldin

2015

Phys. Rev. E

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“…The coupling between the latter and the fluctuating fields is modelled within the RapiniPapoular surface interaction phenomenology [26]. In the case of annealed disorder, we obtain an effective free energy for the fluctuating director field which takes a standard pseudo-Casimir form [9][10][11][12][13][14] but with a renormalized anchoring energy, while in the case of quenched disorder, we find that the disorder in the homeotropic easy direction leads to a distinct additive term besides the pseudo-Casimir contribution in the total interaction free energy. This is very similar to the general state of affairs in the context of Coulomb fluids under imposed external disorder in the monopolar charge distribution on bound-ing surfaces [19].…”

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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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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“…33 The Casimir forces due to director fluctuations in liquid crys-tals confined between a patterned and a homogeneous substrate have been recently studied within Gaussian approximation. 34 Here we focus on the universal features of the force generated by binary liquid mixtures close to their critical point and confined between two chemically inhomogeneous substrates with laterally varying preferences for the two species of the binary mixture. Within mean field theory we calculate numerically the order parameter profiles and fully take into account the effect of critical adsorption.…”

Section: Introductionmentioning

confidence: 99%

Forces between chemically structured substrates mediated by critical fluids

Sprenger

Schlesener

Dietrich

2006

The Journal of Chemical Physics

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We consider binary liquid mixtures close to their critical points confined by two parallel, geometrically flat, and chemically structured substrates. Universal order parameter profiles are calculated within mean field theory for periodic patterns of stripes with alternating preferences for the two species of the mixture and with different relative positions of the two substrates. From the order parameter profiles the effective forces between the two plates are derived. The tuning of Casimir amplitudes is discussed.

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Publisher's Note: Liquid-crystalline Casimir effect in the presence of a patterned substrate [Phys. Rev. E70, 041701 (2004)]

Cited by 13 publications

References 0 publications

Critical Casimir force in the presence of random local adsorption preference

Critical Casimir force in the presence of random local adsorption preference

Pseudo-Casimir interactions across nematic films with disordered anchoring axis

Forces between chemically structured substrates mediated by critical fluids

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