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Exact Solutions of the Ising Model
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Astrophysics.
2017 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

This report presents the general Ising model and its basic assumptions. This study aims to, from diagonalization of the Transfer Matrix, obtain the Helmholtz free energy and the exclusion of a phase transition for the one-dimensional Ising model under an external magnetic field. Furthermore from establishing the commutation relations of the Transfer matrices and using the Kramers-Wannier duality one finds the free energy and the presence of a phase transition for the square-lattice Ising model.

Place, publisher, year, edition, pages
2017. , p. 50
Series
FYSAST ; FYSKAND1078
Keyword [en]
ising, ising model, square-lattice ising model, transfer matrix
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-329081OAI: oai:DiVA.org:uu-329081DiVA, id: diva2:1139470
Educational program
Bachelor Programme in Physics
Supervisors
Examiners
Available from: 2017-10-05 Created: 2017-09-07 Last updated: 2017-10-05Bibliographically approved

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • ieee
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  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
  • html
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  • asciidoc
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