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Coulomb coupling and heating of charged particle beams in the presence of dispersion

Okamoto, Hiromi*; Sugimoto, Hiroshi*; Yuri, Yosuke

We study the heating of space-charge-dominated coasting beams circulating in a storage ring. A number of molecular dynamics simulations are performed systematically to figure out the parameter-dependence of the heating rate due to interparticle Coulomb collisions. We introduce a new definition of the Coulomb coupling constant $$Gamma$$ that characterizes the phase of one-component plasmas. The new $$Gamma$$ is based on observable quantities and can be applied to dispersive situations. It is confirmed that the heating rate comes to a peak when the beam is in a liquid phase; the peak is always located at $$Gamma approx 1$$ regardless of particle species, beam energy, the strength of external confinement forces, and line density.

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