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Dipolar interactions of trapped dipolar molecular ions
Umeå University, Faculty of Science and Technology, Department of Physics.
2017 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

The topic of this thesis is the development of a numerical model of trapped dipolar molecular ions forming a Coulomb crystal, such as in a linear ion trap. The model regards the system as an ensemble of classical dipoles which form a linear chain in one dimension, and a square lattice in two dimensions. The model was simulated using Metropolis Monte Carlo and the classical Heisenberg model with dipole-dipole interaction. The possibility of phase transitions in the system was investigated by studying the thermodynamic properties at different temperatures, finite system sizes, and boundary conditions. Previous studies of isotropic classical Heisenberg models in 1D and 2D have shown the absence of of any phase transitions. The 1D dipolar system modeled in this thesis showed no evidence of a critical temperature related to a phase transition, but rather exhibited a slow transition between an ordered and a disordered state for temperatures T > 0. Similar results were obtained for the 2D system, but in this case a method of finite size analysis suggested the existence of a critical temperature. In both systems the dipoles showed a preferential ordering along the z-axis, corresponding to the trap-axis of the ion trap, at low temperature. The results of the simulations are mostly inconclusive due to difficulties in properly evaluating the critical phenomena, and further improvements and extensions to the preliminary model are needed to get more reliable results.

Place, publisher, year, edition, pages
2017.
National Category
Other Physics Topics
Identifiers
URN: urn:nbn:se:umu:diva-130586OAI: oai:DiVA.org:umu-130586DiVA: diva2:1068197
Subject / course
Examensarbete i teknisk fysik
Educational program
Master of Science Programme in Engineering Physics
Presentation
2017-01-13, NA332 Umeå universitet, Umeå, 13:00 (English)
Supervisors
Examiners
Available from: 2017-01-25 Created: 2017-01-25Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf