Electrostatic Patterns in the Interior of a Circular Region

Year: 2007 Authors: N.G. Nicolis

Core claim

Ground-state and excited-state charge configurations in a circular confinement form symmetric shell structures whose stability changes with N and can be computed by dissipative numerical integration.

Topics

electrostatic equilibrium, symmetry and shells, numerical simulation, ground states

Domains

classical mechanics, optimization, potential energy surfaces, numerical integration, pattern formation, symmetry, generative graphics, aesthetics

Methods

Euler’s method, dissipative simulation, random initialization, energy minimization

Media

point charges, harmonic oscillator potential, circular region, Cartesian coordinates

Source status

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