Particle dynamics in a wave with variable amplitude: Annual progress report, August 1, 1987-April 30, 1988
Creators
Description
Analysis of accelerator systems via newly developed techniques of nonlinear dynamics has been carried out. The study of transport through phase psace over the last year has clarified the effects of correlations on the dynamics of systems with slow chaos. An analytic alculation of the relation between the phases between separatrix crossings allows more accurate calculation of the rate of diffusion for particle throughout phase space. Numerical calculations show nevertheless that predictions obtained by the neglect of correlations are qualitatively correct. A new method for obtaining the dynamic apeture in accelerators has also been developed. The results from analyzing one-dimensional systems are encouraging. 11 refs., 3 figs
Availability note (English)
Available from NTIS, PC A06/MF A01; 1 as DE88007323.
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Additional details
Publishing Information
- Imprint Pagination
- 110 p.
- Report number
- DOE/ER/40302--1
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 19093079
- Subject category
- S43: PARTICLE ACCELERATORS;
- Resource subtype / Literary indicator
- Progress Report
- Descriptors DEI
- ACCELERATORS; HAMILTON-JACOBI EQUATIONS; HAMILTONIANS; NONLINEAR PROBLEMS; PHASE SPACE; PROGRESS REPORT; RESEARCH PROGRAMS; TRANSPORT THEORY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SPACE
Optional Information
- Notes
- Portions of this document are illegible in microfiche products.