Speaker
Abstract
Relativistic magnetized electron cooling is essential for proposed electron-ion collider designs. Fast, accurate calculations of magnetized dynamic friction are required, with the ability to include all relevant physics that might increase the cooling time, including space charge forces, field errors and complicated phase space distributions of imperfectly magnetized electron beams. We present a new algorithm that is Hamiltonian and effectively exploits the perturbative nature of the problem.
Summary
Relativistic magnetized electron cooling in untested parameter regimes is essential to achieve the ion luminosity requirements of proposed electron-ion collider (EIC) designs. Therefore, accurate calculations of magnetized dynamic friction are required, with the ability to include all relevant physics that might increase the cooling time, including space charge forces, field errors and complicated phase space distributions of imperfectly magnetized electron beams. This advanced technique for phase space control of high-intensity hadron beams is also relevant to experiments planned for the novel IOTA ring, which is under construction at Fermilab.
Previous work by the first author contributed to important advances in the understanding of unmagnetized dynamic friction, made possible by rapid semi-analytic treatment of individual electron-ion collisions [1]. We are generalizing this previous work to the case of magnetized friction. Recent work by one of us [2] shows how to correctly treat the perturbation of Vlasov systems over long times, which enables a fundamentally new semi-analytic treatment of dynamic friction. The new algorithm is Hamiltonian and conserves momentum to machine precision. Individual collisions between one drifting ion and one magnetized electron can be treated in a single step (i.e. no need to numerically integrate the complicated Larmor trajectories), made possible by effectively exploiting the perturbative nature of the problem.
[1] A. Sobol et al., New Journal of Physics 12, 093038 (2010).
[2] S.D. Webb, J. Math. Phys. 57, 042905 (2016).
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