Calculation of Path-Length distribution for Galactic Cosmic Rays using the

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Scientific paper

Cosmic ray propagation in a galactic diffusion model is considered. The equation for the path-length distribution function is presented in the form of a stochastic differential equation solved starting from an observer location, and the distribution of cosmic rays on matter thickness traversed in the interstellar gas is calculated. A realistic spatial distribution of cosmic ray sources and interstellar gas density are taken into account in the calculations. The obtained path-length distribution is close to the exponential one. This justifies the feasibility of the leaky box approximation for studies of interstellar transport and nuclear fragmentation of energetic stable nuclei. The clumpiness of the interstellar gas in the form of dense clouds and a correlation of gas density and cosmic-ray source density may lead to the deviation of the distribution function from an exponental at small path lengths.

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