Electrical Conductivity. Transport under a Temperature Gradient

Electrical Conductivity. Transport under a Temperature Gradient 

The charge flow under an electrical potential gradient, expressed in terms of the electrical current density (i) and total conductivity (tr), is described by the phenomenological Ohm law  

The partial current densities (iJ and partial conductivities (oj) also obey the Ohm law. 

The charge fraction transported by the j-th sort of carriers is referred to as the 

The right-hand part of this equality is always valid in the differential form in integral form, this equality is observed in electrochemical systems when the interfacial phenomena can be neglected. By combining Equations (3.71),(3.80) and (3.81), it is possible to obtain 

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