Generalized Thomson problem in arbitrary dimensions and non-euclidean geometries

Systems of identical particles with equal charge are studied under a special type of confinement. These classical particles are free to move inside some convex region S and on the boundary of it Ω (the Sd−1−sphere, in our case). We shall show how particles arrange themselves under the sole action of...

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Veröffentlicht in:	Physica A 2016-06, Vol.451, p.237-250
Hauptverfasser:	Batle, J., Bagdasaryan, Armen, Abdel-Aty, M., Abdalla, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundaries Charge Confinement Coulomb friction Euclidean geometry Infinite charge system Non-Euclidean geometries Optimization Sole Statistical mechanics Structures and symmetry in higher Euclidean dimensions Thomson model
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