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TY - CONF AU - Laface, E. ED - Henderson, Stuart ED - Akers, Evelyn ED - Satogata, Todd ED - Schaa, Volker R.W. TI - Non-linear Dynamics model for the ESS Linac Simulator J2 - Proc. of IPAC2015, Richmond, VA, USA, May 3-8, 2015 C1 - Richmond, VA, USA T2 - International Particle Accelerator Conference T3 - 6 LA - english AB - The ESS Proton Linac will run a beam with 62.5 mA of current. In the first meters of the accelerator, the non- linear space-charge force dominates the dynamics of the beam. The Drift Tube Linac, the Spoke resonators and the elliptical cavities, which are responsible for the 99.8% of the total energy gained by the beam along the accelerator, produce a significant longitudinal non-linear force on the proton beam. In this paper, we introduce a new theory to transport the probability density function of the beam under the effect of non-linear forces. A model based on this theory can be implemented in the ESS Linac Simulator for the fast simulations to be performed during the operations of the proton Linac. PB - JACoW CP - Geneva, Switzerland SP - 345 EP - 347 KW - octupole KW - linac KW - sextupole KW - proton KW - space-charge DA - 2015/06 PY - 2015 SN - 978-3-95450-168-7 DO - 10.18429/JACoW-IPAC2015-MOPJE030 UR - http://jacow.org/ipac2015/papers/mopje030.pdf ER -