Development of parallel codes for the study of nonlinear beam dynamics

摘要

We consider the nonlinear transverse motion in a circular particle accelerator. A key parameter for accelerator performance is the so-called dynamic aperture. This quantity is defined as the volume in phase space of the stable initial conditions. The accurate numerical computation of such a volume is very CPU-time consuming. In this paper we present some original parallel algorithms to speed up the evaluation of the dynamic aperture. A detailed analysis of different algorithms implemented is carried out. Furthermore, we studied the dependence of the CPU-time on the phase space parameters as well as the load balancing of the proposed techniques.