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Institut für Theoretische Physik I
Universität Erlangen-Nürnberg
Staudtstraße 7
91058 Erlangen
Germany

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Phone: +49-9131-85 28442
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Department Physik
QuCoLiMa

Teilbibliothek Physik Web-Opac
UnivIS FAU Erlangen-Nürnberg

Physikalisches Kolloquium
QuCoLiMa Talks
Kolloquium der Theor. Physik
Gruppenseminar der Theorie 1


former partners

Bachelorarbeit

  • Kai Klede
  • Ising model on finite projective geometries
Abstract

This thesis investigates the nearest neighbor Ising Model on two dimensional finite projective spaces, over finite fields of prime order. The neighborhood relation is de- fined by a flat biquadric field. When spins are placed only in the affine plane, the mean field critical exponents are found numerically via finite size scaling. The interpretation of these results suggests a notion of system size, proportional to the square root of the field order. The graph diameter as candidate for this system size is ruled out. A high temperature expansion of fifth order was not sufficient to extract the critical behavior analytically.