We have numerically calculated the interaction forces between two highly ch
arged spherical particles embedded in a cloud of small ions with or without
charge redistribution on the particle surfaces. Ion condensation near the
charged particles leads to reduced electrostatic interaction between the pa
rticles, and we find that the effective two-particle interaction is signifi
cantly smaller than the values expected from considering only effective sin
gle-particle potentials. PACS number(s): 52.25,Zb, 61.25.Hq.