# Packing of charged chains on toroidal geometries.

@article{Yao2013PackingOC, title={Packing of charged chains on toroidal geometries.}, author={Zhenwei Yao and Monica Olvera de la Cruz}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2013}, volume={87 1}, pages={ 012603 } }

We study a strongly adsorbed flexible polyelectrolyte chain on tori. In this generalized Thomson problem, the patterns of the adsorbed chain are analyzed in the space of the toroidal coordinates and in terms of the orientation of each chain segment. Various patterns are found, including double spirals, disclination-like structures, Janus tori, and uniform wrappings, arising from the long-range electrostatic interaction and the toroidal geometry. Their broken mirror symmetry is quantitatively…

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## References

SHOWING 1-10 OF 85 REFERENCES

Strong and weak adsorptions of polyelectrolyte chains onto oppositely charged spheres.

- PhysicsThe Journal of chemical physics
- 2006

It is found that the critical sphere charge density exhibits a distinctively different dependence on the Debye screening length than for PE adsorption onto a flat surface.

Polyelectrolyte adsorption onto oppositely charged interfaces: unified approach for plane, cylinder, and sphere.

- PhysicsPhysical chemistry chemical physics : PCCP
- 2011

It is found, particularly at low-salt conditions, that curved convex surfaces necessitate much larger surface charge densities to trigger polyelectrolyte adsorption, as compared to a planar interface in the same solution.

Defective ground states of toroidal crystals.

- Materials SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

The structural properties of toroidal crystals are analyzed and a unified description based on the elastic theory of defects in curved geometries is provided, suggesting a mechanism for creating toroidal templates with precisely controlled valency via functionalization of the defect sites.

Electrostatic-driven pattern formation in fibers, nanotubes and pores

- Physics
- 2011

The physical properties of interfaces between media with different dielectric permittivities are modified by the adsorption of charged particles. The adsorbed charges can be arranged into…

Spontaneous chirality via long-range electrostatic forces.

- PhysicsPhysical review letters
- 2007

A model for periodic patterns of charges constrained over a cylindrical surface with the constraint of global electroneutrality is considered, finding a ring phase for small radii and a chiral helical phase for large radii.

Ion condensation in salt‐free dilute polyelectrolyte solutions

- Materials Science
- 1995

We study ion condensation in salt‐free dilute solutions of polyelectrolyte chains of different fractal geometries, from random walks to rigid rods. In finite size chains with a discrete charge…

Pleats in crystals on curved surfaces

- Materials ScienceNature
- 2010

This work shows that, for more general curved surfaces, curvature may be relaxed by pleats: uncharged lines of dislocations that vanish on the surface and play the same role as fabric pleats, and experimentally investigates crystal order on surfaces with spatially varying positive and negative curvature.

Charged particles on surfaces: coexistence of dilute phases and periodic structures at interfaces.

- PhysicsPhysical review letters
- 2007

The coexistence between a high density ionic periodic phase and a dilute isotropic ionic phase is determined and the periodic length scale of the solid phase is found to scale as epsilon/(lB psi3/2), where psi is the effective charge density, lB is the Bjerrum length, and Epsilon is the cohesive energy.

Macroion Attraction Due to Electrostatic Correlation between Screening Counterions. 1. Mobile Surface-Adsorbed Ions and Diffuse Ion Cloud

- Physics
- 1996

Highly charged macroion surfaces in solutions of multivalent electrolytes attract each other electrostatically through correlations in their counterion environment. We show that significant…

Adhesion between a charged particle in an electrolyte solution and a charged substrate: Electrostatic and van der Waals interactions.

- Physics, ChemistryJournal of colloid and interface science
- 2008