Summary
We analytically derive the parameter characterizing the transition from string to zig-zag for a crystalline ion beam. Calculation shows that one obtains the same value as through molecular dynamics simulations. We discuss the reason for the occurrence of the transition.
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Guidi, V. Analytical evaluation of threshold between string and zig-zag modes in a crystalline ion beam. Nuov Cim A 108, 537–540 (1995). https://doi.org/10.1007/BF02816849
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DOI: https://doi.org/10.1007/BF02816849