NDLI: General moment model of beam transport

Content Provider	IEEE Xplore Digital Library
Author	Shadwick, B.A. Wurtele, J.S.
Copyright Year	1999
Description	Author affiliation: Dept. of Phys., California Univ., Berkeley, CA, USA (Shadwick, B.A.)
Abstract	Using the Hamiltonian structure of the Vlasov equation, we develop a general, relativistic, three-dimensional model of beam transport based on phase space moments of the beam particle distribution. Evolution equations for these moments are derived from the non-canonical Poisson bracket for the Vlasov equation. In this model, the beam centroid experiences the full non-linear forces in the system while the higher order moments are coupled to both the centroid and to various spatial derivatives of the applied fields. For example, when moments up to second order are retained, the physics content is similar to considering linearized forces. Given the large number of equations (there are 27 equations when all second order moments are kept) and their algebraic complexity, the use of symbolic computation in the derivation was critical to ensuring the correctness of the equations. This approach also allows for analytical verification of conservation laws associated with the model. The initial investigations have considered only externally applied fields, however in principle space-charge forces can also be included. We discuss the necessary extensions to the basic theory needed to model ionization cooling for the muon collider.
Starting Page	2888
Ending Page	2890
File Size	236593
Page Count	3
File Format	PDF
ISBN	0780355733
DOI	10.1109/PAC.1999.792972
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1999-03-27
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Poisson equations Particle beams Nonlinear equations Physics Particle tracking Linear particle accelerator Kinematics Electromagnetic forces Optical coupling Cooling
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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