Abstract:
The method of double-time Green's functions [1] is used to study the migration of vacancies
in a one-dimensional lattice with allowance for deformation effects. A study is made of multiple
phonon scattering on vacancies, and an equation for the corresponding transition matrix
is constructed on the basis of the chain of equations for the Green's functions. For the diffusion
coefficient an expression is obtained that allows for the rearrangement of the lattice
vibrations due to the motion of a vacancy.