Info

50000:1:5

5000:1:50

500:1:500

50:1:5000

It can be seen from Table 1.9.1 that the conclusion of Dorman (1959) that the particles are effectively scattered mainly by inhomogeneities whose sizes are of the order of a Larmor radius is valid in mainly the cases for all Pat a= 1, for P> 0.5 at a= 4/3, and so on, but at some values of Pand a is not valid. In more probable case when P = 0 (if the field strength is the same in all the inhomogeneities scales), and a = 1 (when the distances between the inhomogeneities are proportional to their sizes) the particles are most effectively scattered by the inhomogeneities whose sizes are of the order of Larmor radius (the transport path A 2 is five times smaller than A1 and A3). Thus in this case (probably realizable most frequently) the conclusion of Dorman (1959) is valid to a high precision. At the same P = 0 with increasing a to 4/3, 5/3 or 2 more importance became smaller scale of inhomogeneities. In the case of P = 1 (when the field strength in inhomogeneities is proportional to their size) the conclusion of Dorman (1959) is valid for 1 < a < 5/3, but at a = 2 (when the distances between the inhomogeneities are proportional to the square of their sizes) the importance of inhomogeneities changes, namely the inhomogeneities with scale smaller than rL2 are of major importance.

1.9.3 The transport scattering path in the presence of a continuous spectrum of the cloud type of magnetic inhomogeneities

Realized most probably in the nature is some continuous spectrum of magnetic inhomogeneities with the density N(A) = l-3 (A) in the interval of the scales A1 <A<A2 and a definite dependences of l and h on A according to Eq. 1.9.6 (it means that l(A) = l2 (A/A2 )a and rL (A) = rL2 (A/A2 )-P , where rL2 = cp/Zeh2 (see Eq. 1.9.6a). Using these denominations, we shall find according to Dorman (1969) that

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