Ordering of adsorbed rigid rods mediated by the Boussinesq interaction on a soft substrate

Kumari, Sunita; Ye, Fangfu; Podgornik, Rudolf

doi:10.1063/5.0022556

Cited by 6 publications

(5 citation statements)

References 71 publications

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“…where the nematic order parameter is then extracted from Equation 27as S = γ/( 9 4 u QQ (0) c + ). In 2D, the same type of analysis would just replace the Dawson integral by a modified Bessel function integral [52]. Equation 31 18, we only considered local nematic interactions.…”

Section: Coupled System Of Maier-saupe and Poisson-boltzmann Equationsmentioning

confidence: 99%

Theory of Inhomogeneous Rod-like Coulomb Fluids

Podgornik

2021

Symmetry

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A field theoretic representation of the classical partition function is derived for a system composed of a mixture of anisotropic and isotropic mobile charges that interact via long range Coulomb and short range nematic interactions. The field theory is then solved on a saddle-point approximation level, leading to a coupled system of Poisson–Boltzmann and Maier–Saupe equations. Explicit solutions are finally obtained for a rod-like counterion-only system in proximity to a charged planar wall. The nematic order parameter profile, the counterion density profile and the electrostatic potential profile are interpreted within the framework of a nematic–isotropic wetting phase with a Donnan potential difference.

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Section: Coupled System Of Maier-saupe and Poisson-boltzmann Equationsmentioning

confidence: 99%

Theory of Inhomogeneous Rod-like Coulomb Fluids

Podgornik

2021

Symmetry

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“…38 we only considered local nematic interactions. A similar path can be pursued also in 2D except that instead of the Dawson integral one ends up with a modified Bessel function integral [53].…”

Section: Solution Of the Mean-field Equationsmentioning

confidence: 99%

Theory of Inhomogeneous Calamitic Coulomb Fluids

Podgornik¹

2020

Preprint

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A field theoretic representation of the classical partition function is derived for a system composed of a mixture of anisotropic and isotropic mobile charges that interact via long range Coulomb and short range nematic interactions. The field theory is then solved on a saddle-point approximation level, leading to a coupled system of Poisson-Boltzmann and Maier-Saupe equations. Explicit solutions are finally obtained for a calamitic counterion-only system in proximity of a charged planar wall. The nematic order parameter profile, the counterion density profile and the electrostatic potential profile are interpreted within the framework of a nematic-isotropic wetting phase with a Donnan potential difference.

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“…In addition, particle-particle interactions can be mediated or affected by the surface. Moreover, there can be particle-particle interactions that are originated by the surface and do not exist in a 3D system (for example, if the particles produce an elastic deformation on the surface, the deformation fields of different particles can interact [16]). Orientational and excluded volume terms, σ and ρ, are given by…”

Section: A Free Energy and Phase Orderingmentioning

confidence: 99%

“…Several theoretical approaches, both molecular simulations and mean-field theories, considering hard-core excluded volume effect or attractive interactions, have been developed to study nematic 2D systems. The quasinematic phase with algebraic order is predicted for high surface density [13][14][15][16], in a range that becomes broader as the aspect ratio of the particles increases. For hard-core systems with no attractive interactions, the transition from isotropic to quasinematic phase is continuous or second order.…”

Section: Introductionmentioning

confidence: 95%

Generalized van der Waals theory for phase behavior of two-dimensional nematic liquid crystals. II. Phase coexistence and adsorption

Soulé

2020

Phys. Rev. E

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Adsorption of asymmetric particles or molecules into monolayers is important for many biological and technologically relevant physical systems. In-plane ordering can drastically affect adsorption and phase behavior. In this work, a generalized van der Waals theory previously developed [M. V. Zonta and E. R. Soulé, Phys. Rev. E 100, 062703 (2019)] is used to calculated phase behavior and adsorption isotherms in a system of hard-core rodlike particles with in-plane nematic order, as a function of the model parameters (aspect ratio L/B, isotropic and anisotropic interaction parameters χ and ν, and adsorption constant K ads ). For small L/B, isotropic-nematic and/or (depending on χ ) isotropic liquid-gas coexistence is observed; as L/B increases, coexistence between two different nematic phases appears at low temperature, and liquid-gas equilibrium ceases to be observed for large enough L/B; this is understood considering that as aspect ratio increases, the range of stability of the nematic phase becomes larger. Adsorption isotherms are found to significantly deviate from Langmuir behavior, and are strongly affected by ordering and interactions (surface density in the adsorbed layer increases as interaction parameters and ordering increase). Phase coexistence is observed as discontinuous transitions in adsorption isotherms, where adsorption-desorption hysteresis cycles are possible.

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Ordering of adsorbed rigid rods mediated by the Boussinesq interaction on a soft substrate

Cited by 6 publications

References 71 publications

Theory of Inhomogeneous Rod-like Coulomb Fluids

Theory of Inhomogeneous Rod-like Coulomb Fluids

Theory of Inhomogeneous Calamitic Coulomb Fluids

Generalized van der Waals theory for phase behavior of two-dimensional nematic liquid crystals. II. Phase coexistence and adsorption

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