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Collision Integrals and the Generalized Kinetic Equation for Charged Particle Beams

1998/09/22 by Stephan I. Tzenov, Tzenov, Stephan I.
Mathematics · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Plasma Physics (physics.plasm-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #physics.acc-ph #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.physics/9809034

LaTeX, 17 pages

arxiv created 1998/09/22 · openalex publication_date 1998/09/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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. We derive the collision integral for a charged particle beam in the form of Balescu-Lenard and Landau and consider its further simplifications. Finally, the transition to the generalized kinetic equation has been accomplished by using the method of adiabatic elimination of fast variables.

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