  The electronic properties of disordered systems have been the subject of
intense study for several decades. Thermoelectric properties, such as
thermopower and thermal conductivity, have been relatively neglected. A long
standing problem is represented by the sign of the thermoelectric power. In
crystalline semiconductors this is related to the sign of the majority
carriers, but in non-crystalline systems it is commonly observed to change sign
at low temperatures. In spite of its apparent universality this change has been
interpreted in a variety of ways in different systems. We have developed a
Green's function recursion algorithm based on the
Chester-Thelling-Kubo-Greenwood formula for calculating the kinetic
coefficients on long strips or bars. From these we can deduce the electrical
conductivity, the Seebeck and Peltier coefficients and the thermal
conductivity, as well as the Lorenz number. We present initial results for 1D
systems. We observe a Lorentzian distribution for the thermopower which is
modified by the presence of inelastic scattering. This could give rise to
non-negligible quantum fluctuations in macroscopic systems at low temperatures.
