Effective properties for systems with distributed resistances in continuous space

A system with exponentially distributed resistances is examined here. The importance of field and current distribution inside each resistance is shown to be a necessary sign of the so-called continual problem. Consideration of this current distribution leads to a further increase of the relative spectral density of $1/f$ noise and the appearance of another critical exponent in comparison with a discrete problem. The critical exponent connected with the inhomogeneity of current distribution inside each resistance has been evaluated.