Check Semiconductor physics  by Neamen

Probably because activation energy theories do not well describe such processes and more sophisticated approaches are required. The problem is that apparent activation energies are much smaller than those for chemical reactions or solid state transport processes. Hence they imply that a much larger proportion of the molecules should be in the activated state than are consistent with approximations made in Eyring's theory.

I formulate the current problem: I have the results of measurements of the activation energy concentration dependence for the proton-conductive solutions (for examle,  water + glycerol). And I have the empirical formula for this dependence. But I can not find any additional information on this matter.

Is this a problem nobody has?

Although the proton conductivity  is a quite modern topic.

There are some old papers on this topic:

Wells, Cecil F. The stability of the proton in water + cosolvent mixtures. Thermochimica Acta (1992), 200, 443-59.  

Erdey-Gruz, Tibor; Kugler, Elvira Hydrogen and hydroxide ion migration mechanisms. VIII. Effect of the composition of the glycerol- water mixture and of the temperature on the conductivity and viscosity of dissolved hydrochloric acid, potassium hydroxide, potassium fluoride, and potassium chloride at 5.deg. and 25.deg.

Magyar Chemiai Folyoirat (1968), 74(3), 135-42

Of course there is a large literature on the conductivity of H3O+ and OH- in aqueous solutions.

This is not a straightforward question depends on your system

I fully agree with Rolando's opinion. Moreover, at the beginning, you should specify the rate process of which an energy of activation should be considerd !

Dear Colleagues! Thank you very much for your answers, in particular, for the reminder about the works of Erdey-Gruz. 

But again I formulate the question: We have the results of own electrical conductivity measurements of the activation energy concentration dependence for the proton-conductive solutions: water+glycerol, water+ethylene glycol, water+diethylene glycol, DMSO+glycerol, DMSO+ethylene glycol... We have the results for more complex systems [see example "Synthesis and properties of novel polyurethanes based on amino ethers of boron acid for gas separation membranes", RSC Advances 5(81), DOI: 10.1039/C5RA11417A].

The next step - an analytical description of this dependence. We had an idea how to describe this dependence. Then we began to look for similar works. I found only one work [Journal of Structural Chemistry. Vol. 44, No. 6, pp. 995-1000, 2003], where it is shown that similar dependence for has a minimum. Other works we have not found. 

It is possible that in our system of concentration dependence of activation energy (conductivity)  has a minimum, too, but it is so weak that I can not definitely say. It's one of the problems.

Therefore, I am interested in work in this area, but I can not find them.

Thanks again.

Activation energy of flow or viscosity is really ambiguous as physically it doesn't mean anything to the flow process. An empirical relationship may however be useful for getting some useful data. For viscosity, generally it is temperature dependent activation energy. Concentrate dependent activation energy of flow is relatively less known. One would expect more viscosity with increase in concentration therefore higher activation of energy or vice-versa.  

Example dependence

Excellent data set.

Does the interest of such data? Is there a similar study?

Please see my papers on rheology of fruit juice where you can find concentration dependency on flow activation energy