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The distribution function for a system of interacting electrons in metals ismultivalent in a certain region of wave vectors. One solution among many isisotropic. For other solutions the distribution of electrons over the wavevectors is anisotropic. In the simplest case, the anisotropy arises as a resultof the repulsion between electrons in states with the wave vectors $\bf k$ and$-\hh\bf k$.

The anisotropic distribution of the interacting electrons