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The flattening phase transition in systems of trapped ions
The flattening phase transition in systems of trapped ions
- 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