Title :
Inverse logarithm decay of long-term dynamic aperture in hadron colliders
Author :
Giovannozzi, M. ; Scandale, W. ; Todesco, E.
Author_Institution :
Sezione di Bologna, Ist. Nazionale di Fisica Nucl., Rome, Italy
Abstract :
The long-term behaviour of the non-linear single-particle dynamics is considered for the 4D Henon map. The dynamic aperture is defined as the average of the particle loss boundary over several ratios of emittances. Using this definition, survival plots turn out to decay with the inverse of the logarithm of the number of turns. We also compare the extrapolation of the dynamic aperture with the prediction of the maximal Lyapunov exponent
Keywords :
Henon mapping; colliding beam accelerators; particle beam dynamics; proton accelerators; synchrotrons; 4D Henon map; hadron colliders; inverse logarithm decay; long-term dynamic aperture; maximal Lyapunov exponent; nonlinear single-particle dynamics; particle loss boundary; survival plots; Apertures; Chaos; Chirp modulation; Extrapolation; Frequency; Interpolation; Numerical simulation; Resonance; Stability; Superconducting transmission lines;
Conference_Titel :
Particle Accelerator Conference, 1997. Proceedings of the 1997
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-4376-X
DOI :
10.1109/PAC.1997.750721
