Stochastic effects in real and simulated charged particle beams
Open Access
- 24 March 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Special Topics - Accelerators and Beams
- Vol. 3 (3), 034202
- https://doi.org/10.1103/physrevstab.3.034202
Abstract
The Vlasov equation embodies the smooth field approximation of the self-consistent equation of motion for charged particle beams. This framework is fundamentally altered if we include the fluctuating forces that originate from the actual charge granularity. We thereby perform the transition from a reversible description to a statistical mechanics description covering also the irreversible aspects of beam dynamics. Taking into account contributions from fluctuating forces is mandatory if we want to describe effects such as intrabeam scattering or temperature balancing within beams. Furthermore, the appearance of “discreteness errors” in computer simulations of beams can be modeled as “exact” beam dynamics that are being modified by fluctuating “error forces.” It will be shown that the related emittance increase depends on two distinct quantities: the magnitude of the fluctuating forces embodied in a friction coefficient, , and the correlation time dependent average temperature anisotropy. These analytical results are verified by various computer simulations.
Keywords
This publication has 10 references indexed in Scilit:
- From Molecular Dynamics to Dissipative Particle DynamicsPhysical Review Letters, 1999
- Concept of entropy in the realm of charged particle beamsPhysical Review E, 1996
- The Fokker-Planck EquationSpringer Series in Synergetics, 1996
- Theory and Design of Charged Particle BeamsPublished by Wiley ,1994
- Relation between Field Energy and RMS Emittance in Intense Particle BeamsIEEE Transactions on Nuclear Science, 1985
- Longitudinal Resistive Instabilities of Intense Coasting Beams in Particle AcceleratorsReview of Scientific Instruments, 1965
- Theory of the alternating-gradient synchrotronAnnals of Physics, 1958
- The Resistive-Wall AmplifierProceedings of the IRE, 1953
- Stochastic Problems in Physics and AstronomyReviews of Modern Physics, 1943
- Brownian motion in a field of force and the diffusion model of chemical reactionsPhysica, 1940