# On the connected-charges Thomson problem

@article{Slosar2006OnTC, title={On the connected-charges Thomson problem}, author={An{\vz}e Slosar and R. Podgornik}, journal={EPL}, year={2006}, volume={75}, pages={631-637} }

We investigate the modifications brought about by the linear connectivity among charges in the classical Thomson problem. Instead of packing with local hexagonal order interspersed with topological defects, we find charge distributions with helical symmetry wound around the surface of the sphere. This finding should have repercussions in the viral packing and macroion adsorption theories.

## 17 Citations

Packing of charged chains on toroidal geometries.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2013

It is found that the electrostatic energy of confined chains on tori conforms to a power law regardless of the screening effect in some typical cases studied, and uniform packing, which breaks the mirror symmetry the least, has the lowest value of the order parameter.

ENERGY MINIMIZATION OF POINT CHARGES ON A SPHERE WITH PARTICLE SWARMS

- Computer Science
- 2009

A method to study the Thomson problem of finding the lowest energy configuration of N point charges constrained to the surface of a unit sphere and the basic principles of thePSO metaheuristic, together with experimental results that confirm the effectiveness of the PSO approach.

Confined nematic polymers: order and packing in a nematic drop.

- Materials SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2010

This work solves the Euler-Lagrange equations numerically with the appropriate boundary conditions for the director and density field and investigates the orientation and density profile within a sphere of nematic polymers inside a confining hard sphere.

On the Packing of Stiff Rods on Ellipsoids Part II -- Entropy and Self Avoidance

- Physics
- 2022

Using a statistical - mechanics approach, we study the eﬀects of geometry and entropy on the ordering of slender ﬁlaments inside non-isotropic containers, considering cortical microtubules in plant…

Structural transitions of encapsidated polyelectrolytes

- Materials ScienceThe European physical journal. E, Soft matter
- 2008

The various competing structures given by the theory were recovered by the Monte Carlo simulations, which indicated that the tennis ball texture was favored over the spiral structure by the long-range interactions for semi-flexible chains.

Packings of a charged line on a sphere.

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

This work finds equilibrium configurations of open and closed lines of charge on a sphere, and tracks them with respect to varying sphere radius, finding the spiral shape is the unique stable equilibrium of the closed line.

Electrostatic potential between charged particles at an oil-water interface.

- PhysicsPhysical review. E
- 2020

The in-plane potential of a point charge at an interface between two electrolyte solutions with different, finite dielectric permittivities and Debye screening lengths is calculated and it is shown that the asymptotic behavior of this potential is neither a dipole, which characterizes the potential at air-water interfaces, nor a screened monopoles, which describes the bulk behavior in a single electrolyte solution.

Stochastic curvature of enclosed semiflexible polymers.

- MathematicsPhysical review. E
- 2019

A Monte Carlo algorithm is developed for use in computer simulations in order to study the conformational states in a compact domain and the case of a semiflexible polymer enclosed in a square domain of side a is presented as an explicit example of the formulated theory and algorithm.

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