Beam halos are studied in a dynamical stochastic model with enhanced transverse dispersion and transverse emittance growth. We explore the effects of non-Gaussian noises with larger variances and possible jumps. The stationary distribution of Ornstein-Uhlenbeck processes with particular L´evy noises is then calculated. For Student processes the asymptotic spatial behavior coincides with that found in other independent numerical halo models.
Stationary distributions of non Gaussian Ornstein-Uhlenbeck processes for beam halos
CUFARO PETRONI, Nicola;
2008-01-01
Abstract
Beam halos are studied in a dynamical stochastic model with enhanced transverse dispersion and transverse emittance growth. We explore the effects of non-Gaussian noises with larger variances and possible jumps. The stationary distribution of Ornstein-Uhlenbeck processes with particular L´evy noises is then calculated. For Student processes the asymptotic spatial behavior coincides with that found in other independent numerical halo models.File in questo prodotto:
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