This paper reviews the structure of the modern theory of atomic transp
ort in solids. It starts with the macroscopic equations of non-equilib
rium thermodynamics and then proceeds to the methods offered by statis
tical mechanics for the evaluation of transport coefficients, etc. The
application of these methods to stochastic models is then considered
in both general terms and for particular models suggested by the theor
y of lattice imperfections. These particular examples include isotherm
al diffusion in dilute and concentrated solid solutions and also trans
port in temperature gradients. The value of solid state theory in the
parameterization of these models is emphasised.