# Weak-strong instability as a diffusion process

## Abstract

The phenomenological analysis of the weak-strong instability for an electron storage ring is developed. The vertical size of the weak beam is found to depend on two machine parameters: {radical}{eta}, which is proportional to {Delta}Q, and b, which depends on the aspect ratio of the strong beam. The model also contains one fitting parameter. Experimental consequences of such dependence are discussed. 5 refs., 7 figs.

- Authors:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center, Menlo Park, CA (USA)

- OSTI Identifier:
- 5788430

- Report Number(s):
- SLAC-PEP-NOTE-278; SLAC-PUB-2252; CONF-790327-161

ON: DE89006310; TRN: 89-006181

- DOE Contract Number:
- AC03-76SF00515

- Resource Type:
- Conference

- Resource Relation:
- Conference: IEEE particle accelerator conference, San Francisco, CA (United States), 12-14 Mar 1979

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS; STORAGE RINGS; BEAM-BEAM INTERACTIONS; BEAM BUNCHING; BETATRON OSCILLATIONS; DIFFUSION; DISTRIBUTION FUNCTIONS; FOKKER-PLANCK EQUATION; INSTABILITY; BEAM DYNAMICS; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; OSCILLATIONS; PARTIAL DIFFERENTIAL EQUATIONS; 430400* - Particle Accelerators- Storage Rings; 430200 - Particle Accelerators- Beam Dynamics, Field Calculations, & Ion Optics

### Citation Formats

```
Kheifets, S.A.
```*Weak-strong instability as a diffusion process*. United States: N. p., 1979.
Web.

```
Kheifets, S.A.
```*Weak-strong instability as a diffusion process*. United States.

```
Kheifets, S.A. Thu .
"Weak-strong instability as a diffusion process". United States. https://www.osti.gov/servlets/purl/5788430.
```

```
@article{osti_5788430,
```

title = {Weak-strong instability as a diffusion process},

author = {Kheifets, S.A.},

abstractNote = {The phenomenological analysis of the weak-strong instability for an electron storage ring is developed. The vertical size of the weak beam is found to depend on two machine parameters: {radical}{eta}, which is proportional to {Delta}Q, and b, which depends on the aspect ratio of the strong beam. The model also contains one fitting parameter. Experimental consequences of such dependence are discussed. 5 refs., 7 figs.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1979},

month = {2}

}

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