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4 papers · 2 filters
Collision Integrals and the Generalized Kinetic Equation for Charged Particle Beams
Stephan I. Tzenov
In the present paper we study the role of particle interactions on the evolution of a high energy beam. The interparticle forces taken into account are due to space charge alone. W…
Formation of Patterns and Coherent Structures in Charged Particle Beams
Stephan I. Tzenov
In the present paper we study the long wavelength and slow time scale behavior of a coasting beam in a resonator adopting a broad-band impedance model. Based on the renormalization…
Coherent Nonlinear Phenomena in High Energy Synchrotrons: Observations and Theoretical Models
P. L. Colestock, L. K. Spentzouris, S. I. Tzenov
Nonlinear waves have been observed in synchrotrons for years but have received little attention in the literature. While pathological, these phenomena are worth studying on at leas…
Solitary Waves on a Coasting High-Energy Stored Beam
S. I. Tzenov, P. L. Colestock
In this work we derive evolution equations for the nonlinear behavior of a coasting beam under the influence of a resonator impedance. Using a renormalization group approach we fin…