Nonlinear $δf$ Method for Beam-Beam Simulation
| dc.creator | Cai, Yunhai | |
| dc.creator | Chao, Alexander W. | |
| dc.creator | Tzenov, Stephan I. | |
| dc.creator | Tajima, Toshi | |
| dc.date | 2000-10-23 | |
| dc.date.accessioned | 2026-07-07T05:44:57Z | |
| dc.date.available | 2026-07-07T05:44:57Z | |
| dc.description | We have developed an efficacious algorithm for simulation of the beam-beam interaction in synchrotron colliders based on the nonlinear $δf$ method, where $δf$ is the much smaller deviation of the beam distribution from the slowly evolving main distribution $f_0$. In the presence of damping and quantum fluctuations of synchrotron radiation it has been shown that the slowly evolving part of the distribution function satisfies a Fokker-Planck equation. Its solution has been obtained in terms of a beam envelope function and an amplitude of the distribution, which satisfy a coupled system of ordinary differential equations. A numerical algorithm suited for direct code implementation of the evolving distributions for both $δf$ and $f_0$ has been developed. Explicit expressions for the dynamical weights of macro-particles for $δf$ as well as an expression for the slowly changing $f_0$ have been obtained. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/physics/0010055 | |
| dc.identifier | http://arxiv.org/abs/physics/0010055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/83840 | |
| dc.subject | Accelerator Physics | |
| dc.subject | Computational Physics | |
| dc.title | Nonlinear $δf$ Method for Beam-Beam Simulation | |
| dc.type | text |