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On the decomposition of the Maxwell mixture formula into a sum of Debye type contributions

It is shown that, according to the Maxwell mixture formula, the generalised conductivity of a suspension of components whose conductivities are represented by a sum of Debye type contributions can also be expressed as a superposition of Debye terms. Their number is n+2 m+1, where n(m) is the number of Debye terms representing the particles (continuum) and the last addend appears when at least one of the components is conducting. The special case where n=m=1 is analysed in detail and the interpretation of data from ionic micelles in an electrolyte is discussed.