An investigation is made of characteristic features in the behavior of smal
l particles in a dusty plasma attributable partly to the suppression of coa
gulation as a result of monopolar charging for particle sizes smaller than
the Debye shielding length and partly to the reduction in the effect of cha
rging for larger particles. Similarity relations linking the plasma composi
tion and particle charge with the parameters of the dust component are used
to determine the range of parameters for which the linear approximation of
the particle charge as a function of their sizes holds. A modified classic
al theory of coagulation in the diffusion approximation is used to study so
me anomalies in the behavior of the particle size distribution. It is estab
lished that unlike an ordinary aerosol, in a dusty plasma the dispersion of
the distribution and the average particle size may decrease with time. It
is shown for the first time that a long-lived "quasi-liquid" state of a dus
ty plasma may be established as a result of the anomalous behavior of the s
ize distribution function of coagulating charged particles. (C) 2000 MAIK "
Nauka/Interperiodica".