Heating and melting of the dusty crystal in rf discharge

Summary form only given, as follows. The non-linear analysis of instability of the dusty crystal in the sheath of radio-frequency discharge is presented. Varying the gas pressure, we revealed the boundaries of stability of the crystal for Coulomb and screened potentials. The analysis have been done on the base of numerical calculations of the system of Newton equations for particle motion. Using the periodical boundary conditions we simulated only the fragment of 448 particles of infinite in the radial direction hexagonal lattice which has two layers in the longitude direction. The repulsion between particles of the lattice, the attraction between particles and effective positive charges of ion clouds are taken into account. We consider also the changing of kinetic energy of particles due to friction and impacts with neutral atoms. As a result we obtain the temperature of particles as function of time and friction, the critical pressure for phase transition, introducing the modified Lindeman criteria. The calculated mean temperature for the different pressure coincides with experimental one.