2.2.9 for pure magnetic fluctuations) will be determined by a more complicated relation

DaA = g2\TaA + 1 {£aPYVpnyA + £AfivVfinva)+ £a/9y£AMvVPVMBrv \, (2.4.10)

where eapy is the united anti-symmetrical tensor of the third rank; Ta = {EiaEi^ and Bv = {HiyH\V are the correlation tensors of the electric and magnetic fields, respectively, nap = (HlaEi^j is the crossed correlation tensor of electric and magnetic fields. If the magnetic field is completely frozen into the plasma then DapL will have a form

DaX= OY^vhWBv- WpHvvSny- WVHoySfSv+ HoyHovQ^ },(2.4.11)

where W = V - uG and S^ = (ui^Hi^ is the crossed correlation tensor of the magnetic and velocity fields; is the correlation tensor of the velocity field. When writing Eq. 2.4. ii we neglected the term (e/c[ui xHi]a[ui xHi]] assuming them to be small.

Let us multiply Eq. 2.4.8 by exp(((nFi)), where Fi is determined by Eq. 2.4.5 and average the derived equation over the statistical ensemble corresponding to a stochastic field. As a result, we obtain the equation in the functional derivatives with respect to the functional

the value of which at the functional argument n = 0 coincides with the distribution function averaged over a statistical ensemble corresponding to a stochastic field

To obtain the equation for the averaged distribution function (see below, Eq. 2.4.15) from Eq. 2.4.12, we present, similar to Eq. 2.4.14 the functional F[[x,t);x,t] in the form of a functional power series:

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