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The flattening phase transition in systems of trapped ions

The flattening phase transition in systems of trapped ions

Authors :
Marc R. Roussel
Taunia L. L. Closson
Source :
Canadian Journal of Chemistry. 87:1425-1435
Publication Year :
2009
Publisher :
Canadian Science Publishing, 2009.

Abstract

When the anisotropy of a harmonic ion trap is increased, the ions eventually collapse into a two-dimensional structure consisting of concentric shells of ions. This collapse generally behaves like a second-order phase transition. A graph of the critical value of the anisotropy parameter vs. the number of ions displays substructure closely related to the inner-shell configurations of the clusters. The critical exponent for the order parameter of this phase transition (maximum extent in the z direction) was found computationally to have the value β = 1/2. A second critical exponent related to displacements perpendicular to the z axis was found to have the value δ = 1. Using these estimates of the critical exponents, we derive an equation that relates the amplitudes of the displacements of the ions parallel to the x–y plane to the amplitudes along the z axis during the flattening process.

Details

ISSN :
14803291 and 00084042
Volume :
87
Database :
OpenAIRE
Journal :
Canadian Journal of Chemistry
Accession number :
edsair.doi...........cb53a6ab6c626dcd255d5b6d87619a3a
Full Text :
https://doi.org/10.1139/v09-116