“…The idea relies on two ingredients: (1) cosmic rays (CR) continuously supplied to the disk by supernova (SN) remnants and (2) fast magnetic reconnection, which operates in current sheets and enables the dissipation and relaxation of the random magnetic-field components at the limit of vanishing resistivity. In the past decade, we have investigated the different elements, physical properties, and consequences of Parker's idea and scenario by means of analytical calculations and numerical simulations (Hanasz & Lesch 1993, 1997, 1998, 2000, 2001, 2003aHanasz et al 2002Hanasz et al , 2004Hanasz et al , 2006Lesch & Hanasz 2003;Otmianowska-Mazur 2003;Otmianowska-Mazur et al 2007;Kowal et al 2003Kowal et al , 2006 The first complete 3D numerical model of the CR-driven dynamo was developed by Hanasz et al (2004Hanasz et al ( , 2006. In this paper, we perform a parameter study of the CR-driven dynamo model by examining the dependence of magnetic-field amplification on magnetic diffusivity, supernova rate determining the CR injection rate, temporal modulation of SN activity, grid resolution, and CR diffusion coefficients.…”