2x X2

Fig.1.8.4. The character of a dependence of hjho on x/A (a) and the shape of magnetic lines of force in inhomogeneities of the types: j = 1 (b), j = 2 (c), j = 3 (d) according to Eq. 1.8.19.

Fig.1.8.4. The character of a dependence of hjho on x/A (a) and the shape of magnetic lines of force in inhomogeneities of the types: j = 1 (b), j = 2 (c), j = 3 (d) according to Eq. 1.8.19.

Thus the main result of Eq. 1.8.19 for great R may be written in the form d = Aeff/ (R/Ho), i.e. it is determined by the ratio of the effective size of magnetic inhomogeneity to the Larmor radius in the inhomogeneity field. At small R, when the Larmor radius is comparable with the inhomogeneity's size, the approximation used above is invalid since the condition v¡¡ >> v± is violated (in this case v¡¡ ~v±). However, the qualitative conclusion following from Eq. 1.8.19 that the inhomogeneities are again transparent for the particles with very small R seems to be correct since the assumption of adiabatic invariant conservation is valid for such particles, and the particles, when winding up the force lines, will freely penetrate through the inhomogeneities. Thus it should be expected that the most considerable scattering will be observed for the particles whose Larmor radius is of the effective size of magnetic inhomogeneity (in accordance with Dorman, 1959; Dorman and

Nosov, 1965). Thus it can be probably considered that the Eq. 1.8.19 is approximately valid throughout the range of variations of R. The maximum values of 9 for the various types of inhomogeneities can be reached at the following values of Rmax, j ■

9max,j = Ht(2nj)1/2exp(- j/2) at RmaxJ = UH0(2 j)2, (1.8.20)

Ho where j = 1, 2, 3 is the type of inhomogeneity. Table 1.8.1 presents the variations of 9 with R.

Table 1.8.1. Values of 0/0max,j for various RjR

Table 1.8.1. Values of 0/0max,j for various RjR

j |
R/Rmax, j | |||||||

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