where Y(x/lc) and X¥1(x/lc) are some scalar functions and their interrelation is determined by the equation divH = 0 so that it is always possible to determine the function from a given function Y; lc is the correlation radius of a stochastic magnetic field. Let us represent the distribution function F(r,p,t) in the form of a series of expansion over spherical harmonics limiting it by the three terms of the expansion:
where n(r, p,t) and J(r, p,t) are the density of particles and the flux density of particles with a given value of momentum, respectively, fajg(r,p,t) is the symmetric tensor of the second rank, the components of which determine a contribution of the second spherical harmonic into a distribution of CR. The quantities J and characterize the anisotropy distribution of the CR. Observe that the trace of the tensor fan is equal to zero, i.e. faa = 0 as a consequence of the identity n.
a = 1 (n = p/p). Using Eq. 2.11.19 for the collision integral in Eq. 2.11.14, we obtain
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