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cond-mat.stat-mech2009
A Dilute Ising Ferromagnet on a Hierarchical Lattice with Attractive Biquadratic Interactions
Daniel P. Snowman
This paper considers a dilute Ising ferromangnet with annealed vacancies and attractive biquadratic interactions. Phase diagrams have been calculated while varying the temperature…
cond-mat.stat-mech2009
A Blume-Capel Ising Ferromagnet with Annealed Vacancies on a Hierarchical Lattice
Daniel P. Snowman
A dilute Ising ferromagnet is considered in this study using renormalization group techniques with a hierarchical lattice. A series of phase diagrams have been produced that probe…
cond-mat.stat-mech2007
Geometric Frustration and Interparticle Gap Size Distributions in Ordered Hexagonal Polydisperse Disk Packs
Daniel P. Snowman
This work analyzes the distribution and size of interparticle gaps arising in an ensemble of hexagonal unit structures in the xy plane when packing disks with a Gaussian distributi…