The dust-dust collision integrals found in the kinetic theory of dusty plas
mas [Tsytovich and de Angelis, Phys. Plasmas 6, 1093 (1999); 7, 554 (2000)]
are analyzed. Analytic expressions are derived and numerical results are g
iven for the case of thermal distributions to assess their importance and d
ependence on dusty plasma parameters. Modifications of Debye screening by c
ollective dust effects are obtained. A study of the forces between two test
dust particles is presented and the appearance of weakly screened attracti
on forces at distances larger than the Debye screening length is analyzed.
These forces are related to the collective shadow effect in dust charging a
nd operate at distances larger than the previously known noncollective shad
ow attraction forces. The dependence of the collective attraction forces on
dust temperature is analyzed. (C) 2001 American Institute of Physics.