Nematic Phase Emergence in Solutions of Similarly Charged Rodlike Polyelectrolytes

Constantinescu, Adi; Jho, YongSeok

doi:10.7566/jpsj.83.014002

Cited by 3 publications

(3 citation statements)

References 55 publications

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“…In infinite space, without any anchoring fields,n is arbitrary but would be set by surface free energy terms [48], which we did not invoke explicitly, since the Maier-Saupe equation is local and thus valid for any orientation. One can recall Equations (3) and (24), which means that…”

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

confidence: 99%

“…In addition, for rod-like charged cylinders, a generalized Onsager theory could also be used to describe the ordering transition with electrostatic interactions strongly modifying the hard core diameter of the rods as well as providing a mechanism for the twisting interaction as first described by Odijk [20][21][22]. This approach has seen many further developments with different level modifications and extensions [23][24][25][26][27]. A generalized variational field theory of particles with rigid charge distributions [28] and an order parameter-based mean-field approximation of rod-like polyelectrolytes [29] both lead to an ordering transition in 3D.…”

Section: Introductionmentioning

confidence: 99%

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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%

Section: Introductionmentioning

confidence: 99%

Theory of Inhomogeneous Rod-like Coulomb Fluids

Podgornik

2021

Symmetry

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“…In addition, for rod-like charged cylinders a generalized Onsager theory could also be used to describe the ordering transition with electrostatic interactions strongly modifying the hard core diameter of the rods as well as providing a mechanism for twisting interaction as first described by Odijk [20][21][22]. This approach has seen many further developments with different level modifications and extensions [23][24][25][26][27]. A generalized variational field theory of particles with rigid charge distributions [28] and an order parameter based mean-field approximation of rod-like polyelectrolytes [29] both lead to an ordering transition in 3D.…”

Section: Introductionmentioning

confidence: 99%

Theory of inhomogeneous rod-like 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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Ordering of adsorbed rigid rods mediated by the Boussinesq interaction on a soft substrate

Kumari

Podgornik

2020

The Journal of Chemical Physics

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Orientational ordering driven by mechanical distortion of soft substrates plays a major role in material transformation processes such as elastocapillarity and surface anchoring. We present a theoretical model of the orientational response of anisotropic rods deposited onto a surface of a soft, elastic substrate of finite thickness. We show that anisotropic rods exhibit a continuous isotropic–nematic phase transition, driven by orientational interactions between surface deposited rods. This interaction is mediated by the deformation of the underlying elastic substrate and is quantified by the Boussinesq solution adapted to the case of slender, surface deposited rods. From the microscopic rod–rod interactions, we derive the appropriate Maier–Saupe mean-field description, which includes the Boussinesq elastic free energy contribution due to the substrate elasticity, derive the conditions for the existence of a continuous orientational ordering transition, and discuss the implication of results in the soft (bio)system context.

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Nematic Phase Emergence in Solutions of Similarly Charged Rodlike Polyelectrolytes

Cited by 3 publications

References 55 publications

Theory of Inhomogeneous Rod-like Coulomb Fluids

Theory of Inhomogeneous Rod-like Coulomb Fluids

Theory of inhomogeneous rod-like Coulomb fluids

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

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