Equilibrium Configurations of Tripolar Charges

Equilibrium configurations of tripolar charges

It is shown that an ensemble of particles with tripolar (colour) charges will necessarily cohere in a hierarchy of structures, from simple clusters and strings to complex aggregates and cyclic moleculelike structures. The basic combinatoric rule remains essentially the same on different levels of the hierarchy, thus leading to a pattern of resemblance between different levels. The number of pri...

Equilibrium configurations of defective crystals

Uniqueness of Equilibrium Configurations in Solid Crystals

In this article, under suitable assumptions, it is proved that infu∈UΛ E[u] is dual to sup(a,b){ ∫ Ω a(F(x))dx + ∫ Λ b(y)dy}, where, E[u] := ∫ Ω(h(detDu) − F · u)dx. Here, the infimum is performed over UΛ, the set of all orientation-preserving deformations u ∈ C1(Ω)d that are homeomorphisms from Ω̄ onto Λ̄, and the supremum is performed over the set of all upper semicontinuous functions a, b such...

Equilibrium Configurations of Solid Cohesionless Bodies

The bodies of the Solar System exist in a variety of irregular shapes. Studies of those shapes are conducted to infer information about the internal composition, structure, and history of those bodies. However, such inferences require knowing how the composition and structure or history relates to the shape and internal forces. That connection is known only for fluid bodies, where the permissib...

Equilibrium configurations of relativistic White Dwarfs

— The Feynman-Metropolis-Teller treatment for compressed atoms [1] is here reconsidered in the framework of the relativistic generalised Fermi-Thomas model, obtained by Ruffini et al. [13]. Physical properties of a zero temperature plasma is thus investigated and the resulting equation of state, which keeps into account quantum, relativistic and electromagnetic effects, is applied to the study ...