Abstract
Yukawa systems serve as models for plasmas and colloidal suspensions of charged particles. The state of these systems is determined by two dimensionless parameters: k = a/λD, which is the ratio of the mean interparticle distance to the Debye length λD, and Γ = Zd2e2/aTd, which is the ratio of the Coulomb potential energy to the particle temperature Td(Zd is the charge of each particle). We propose an empirical scaling law for the critical coupling parameter Γc needed for crystallization in Yukawa systems. The dependence of Γc on k is in good agreement with recent molecular dynamics simulations.
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