6533b86dfe1ef96bd12ca902

RESEARCH PRODUCT

Stochastic acceleration in generalized squared Bessel processes

Bernardo SpagnoloBernardo SpagnoloDavide ValentiAlexander A. DubkovO. A. Chichigina

subject

Stochastic controlGeneralized inverse Gaussian distributionStatistics and ProbabilityMathematical optimizationBessel processexact resultStatistical and Nonlinear Physicsstochastic processes (theory)Noise (electronics)Multiplicative noiseLangevin equationStochastic differential equationColors of noiseStatistical physicsstochastic particle dynamics (theory)Statistics Probability and UncertaintyMathematicsStatistical and Nonlinear Physic

description

We analyze the time behavior of generalized squared Bessel processes, which are useful for modeling the relevant scales of stochastic acceleration problems. These nonstationary stochastic processes obey a Langevin equation with a non-Gaussian multiplicative noise. We obtain the long-time asymptotic behavior of the probability density function for non-Gaussian white and colored noise sources. We find that the functional form of the probability density functions is independent of the statistics of the noise source considered. Theoretical results are in good agreement with those obtained by numerical simulations of the Langevin equation with pulse noise sources.

yearjournalcountryeditionlanguage
2015-02-17
10.1088/1742-5468/2015/02/p02012http://hdl.handle.net/10447/155534