Fig. 2

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Numerical solutions (solid lines) and the analytical solutions according to Eq. (6) (open circles). The time step Δt= 20 years for numerical solutions in this case. Here, we have assumed that the molecular cloud is passive (i.e., there are no CR sources inside it) and homogeneous (α = 0) with a constant gas density of nH = 500 cm−3 (n0 = 1000 cm−3 due to x0 = 1). We have also assumed that the abundance of gas helium is 0.0925 relative to the gas H density, i.e., nHe = 0.0925nH. The dimension of the cloud R = 20 pc. The spatial diffusion coefficient D0 = 1.63 × 1026 cm2/s, and the exponent δ = 1/3.
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