Turbulence Theory for the Current Carriers in Solids and a Theory of1fNoise

The theory of homogeneous isotropic turbulence of current carriers in metals and semiconductors is developed in terms of the magnetic field fluctuations. A quasinormality hypothesis is used to truncate the chain of equations for the correlation functions. A $k^{-3\mathrm{}}$ spectrum in wave numbers and a $\frac{1}{f}$ spectrum in frequencies are obtained. The $\frac{1}{f}$ spectrum is also obtained for fluctuations of current and voltage in a ring-shaped circuit embedded in the turbulent field. These results are used to construct a universal theory of $\frac{1}{f}$ noise in electronic circuits.