Calculation of dynamo coefficients in cosmic-ray driven dynamo experiment

We present and discuss several new approaches of derivation of the dynamo transport coefficients for the cosmic-ray galactic dynamo experiment by Hanasz et al. (2004), in which we obtained amplification of the large-scale magnetic field on a timescale of 250 Myr. In this paper the standard description of hydromagnetic dynamo by Moffat (1978) is applied, modified and tested in case of the cosmic-ray driven dynamo model. For the first time hatα and hatβ tensors are derived using the multidimensional linear regression and the Levenberg-Marquardt minimization methods. We find that the dynamo coefficients strongly oscillate in the range of ±10 km/s in the considered dynamo experiment.