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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Il nuovo cimento della Società Italiana di Fisica 18 (1996), S. 449-457 
    ISSN: 0392-6737
    Keywords: Nonneutral plasmas ; Storage rings ; Plasma simulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Summary Crystallization for an ion beam in a storage ring was theoretically studied. Properties of ordered state of ion beams are discussed under smooth approximation. In particle simulations, performed in a realistic lattice, high-density three-dimension crystalline structures were achieved. In all cases the crystal had no shear slippage and only particle oscillations with the lattice periodicity took place. A linear dependence of longitudinal velocity on horizontal position, foreseen by the theory for ground states in a smooth lattice, was observed in all cases. This is a step forward in the understanding of crystalline ground states: the particles spontaneously organize themselves so to have the same angular velocity and to maintain their reciprocal position as in usual matter crystals. Theoretical considerations on shear and breathing are presented.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1434-6052
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract. We consider a charged plasma of positive ions in a periodic focusing channel of quadrupolar magnets in the presence of RF cavities. The ions are bunched into charged triaxial ellipsoids and their description requires the solution of a fully 3D Poisson-Vlasov equation. We also analyze the trajectories of test particles in the exterior of the ion bunches in order to estimate their diffusion rate. This rate is relevant for a high intensity linac (TRASCO project). A numerical PIC scheme to integrate the Poisson-Vlasov equations in a periodic focusing system in 2 and 3 space dimensions is presented. The scheme consists of a single particle symplectic integrator and a Poisson solver based on FFT plus tri-diagonal matrix inversion. In the 2D version arbitrary boundary conditions can be chosen. Since no analytical self-consistent 3D solution is known, we chose an initial Neuffer-KV distribution in phase space, whose electric field is close to the one generated by a uniformly filled ellipsoid. For a matched (periodic) beam the orbits of test particles moving in the field of an ellipsoidal bunch, whose semi-axis satisfy the envelope equations, is similar to the orbits generated by the self-consistent charge distribition obtained from the PIC simulation, even though it relaxes to a Fermi-Dirac-like distribution. After a transient the RMS radii and emittances have small amplitude oscillations. The PIC simulations for a mismatched (quasiperiodic) beam are no longer comparable with the ellipsoidal bunch model even though the qualitative behavior is the same, namely a stronger diffusion due to the increase of resonances.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Hyperfine interactions 115 (1998), S. 3-15 
    ISSN: 1572-9540
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Coulomb crystals in storage rings have been studied theoretically but not observed experimentally. We review here some aspects of the theory of crystalline beams and show that the main requirement to achieve crystallization is not fulfilled by existing storage rings.
    Type of Medium: Electronic Resource
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  • 4
    ISSN: 1572-9540
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract After the successful exploitation of electron cooling in several heavy ion storage rings the possibility of generating crystalline ion beams gained the interest of particle accelerator physicists. New cooling methods, such as laser cooling, give further opportunity to reach ultra cold system of particles necessary for the state transition to the crystalline configuration. Crystalline beams will give insight into a completely new research field, reaching higher standards in precision measurements and techniques. The applicative potentialities of crystalline beams justify a careful investigation on this subject. The conceptual design of a low-energy heavy-ion storage ring, called CRYSTAL, proposed for the experimental demonstration of crystalline beams at Legnaro LNL is presented.
    Type of Medium: Electronic Resource
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