强子对撞机长期动态孔径的逆对数衰减

Proceedings of the 1997 Particle Accelerator Conference (Cat. No.97CH36167) Pub Date : 1997-05-12 DOI:10.1109/PAC.1997.750721

M. Giovannozzi, W. Scandale, E. Todesco

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引用次数: 9

摘要

考虑了4D Henon图的非线性单粒子动力学的长期行为。动态孔径被定义为粒子损失边界在若干发射比上的平均值。根据这个定义，生存图会随着回合数的对数倒数而衰减。我们还比较了动态孔径的外推与最大李雅普诺夫指数的预测。

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Inverse logarithm decay of long-term dynamic aperture in hadron colliders

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.

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Proceedings of the 1997 Particle Accelerator Conference (Cat. No.97CH36167)

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