Two-dimensional plasma crystal formation in an asymmetric confinement force is studied by numerical simulation. Some dependencies between dust and crystal parameters are presented for symmetric crystals. Relationships between dust distance and internal electrostatic potential energy of dust particles to the system parameters are deduced from numerical results. By implementation of asymmetry in horizontal electrostatic confinement force, crystals with only a few long rows, or even one row, can be formed by any arbitrary number of dust particles. Finally, a transition between numbers of rows is introduced as a function of an asymmetry factor. These crystals with only a few rows may be of interest for some theoretical and experimental researchers.
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