Title: SYSTEMS OF PARTICLES WITH INTERACTION AND THE CLUSTER FORMATION IN CONDENSED MATTER
Author(s): V.Krasnoholovets, B.Lev (Institute of Physics of the National Academy of Sciences of Ukraine, 46 Nauky Ave., 03028 Kyiv, Ukraine; E-mail: krasnoh@iop.kiev.ua, lev@iop.kiev.ua)

We investigate the behaviour of a system of particles with the different character of interaction. The approach makes it possible to describe systems of interacting particles by statistical methods taking into account a spatial nonhomogeneous distribution of particles, i.e. cluster formation. For these clusters are evaluated: their size, the number of particles in a cluster, and the temperature of phase transition to the cluster state. Three systems are under consideration: electrons on the liquid helium surface, particles interacting by the shielding Coulomb potential, which are found under the effect of an elastic field (e.g. nucleons in a nucleus), and gravitating masses with the Hubble expansion.

Key words: statistical mechanics, interparticle interactions, clusters
PACS: 34.10.+x, 36.90.f