We present a tinite difference scheme to solve numerically the type of Fokker-Planck equations describing the stwhactic dynamics of a particle in a storage ring.
Stochastic dynamics and Fokker-Planck equation in accelerator physics
โ Scribed by H. Mais; M. P. Zorzano
- Publisher
- Springer-Verlag
- Year
- 1999
- Weight
- 438 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0369-3546
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๐ SIMILAR VOLUMES
In a classic paper Max Planck derived an equation, now known as the Fokker-Planck equation, which plays a central role in the statistics description of many body problems. The equation is used in many branches of physics as well as chemistry and biology to describe a variety of different processes.
## Abstract In this paper we investigate the nonโlinear VlasovโFokkerโPlanck (VFP) equation, a both physically and mathematically interesting modification of Vlasov's equation, which describes a plasma in a thermal bath. We prove existence, uniqueness and representation results for steady states of