3,785 research outputs found
On the icosahedron: from two to three dimensions
In his famous book, Felix Klein describes a complex variable for the
quotients of the ordinary sphere by the finite groups of rotations and in
particular for the most complex situation of the quotient by the symmetry group
of the icosahedron. The purpose of this work and its sequels is to obtain
similar results for the quotients of the three--dimensional sphere. Various
properties of the group and of its representations are used to obtain
explicit expressions for coordinates and the relations they satisfy.Comment: 8 page
Spinons as Composite Fermions
We show that gauge invariant composites in the fermionic realization of
conformal field theory explicitly exhibit the holomorphic
factorization of the corresponding WZW primaries. In the case we show
that the holomorphic sector realizes the spinon algebra, thus
allowing the classification of the chiral Fock space in terms of semionic
quasi-particle excitations created by the composite fermions.Comment: SU(N)_1 case included. Final version to appear in Mod. Phys. Lett. A.
Latex, 13 page
Turbulent jet simulation using high-order DG methods for aeroacoustics analysis
In this work, a high-order discontinuous Galerkin (DG) method is used to
perform a large-eddy simulation (LES) of a subsonic isothermal jet at high
Reynolds number Re D = 10^6 on a fully un-structured mesh. Its radiated
acoustic field is computed using the Ffowcs Williams and Hawkings formulation.
In order to assess the accuracy of the DG method, the simulation results are
compared to experimental measurements and a reference simulation based on a
finite volume method. The comparisons are made on the flow quantities (mean,
rms and spectra) and pressure far field (rms and spectra)
Phase Transitions in a Kinetic Flocking Model of Cucker-Smale Type
We consider a collective behavior model in which individuals try to imitate each others' velocity and have a preferred speed. We show that a phase change phenomenon takes place as diffusion decreases, bringing the system from a “disordered” to an “ordered” state. This effect is related to recently noticed phenomena for the diffusive Vicsek model. We also carry out numerical simulations of the system and give further details on the phase transition
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