The mesoscopic effect of the dependence of the point-contact conductan
ce on the spatial distribution of the impurities is theoretically stud
ied. It is shown that the resistance dependence on the diameter d is n
ot only determined by the electron mean free path l(i), but also by th
e average distance between the impurities. In the case of two types of
impurities with different concentrations the mesoscopic effect is pre
dicted for a dirty point contact (d much greater than l(i)) due to the
scattering at specific (e.g., magnetic) impurities with a low concent
ration. Such contacts were numerically modeled for random distribution
s of the two types of impurities. (C) 1997 American Institute of Physi
cs. [S1063-777X(97)00812-8].