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Title: Face-centred plane ising lattices and independent particle and [alpha]-particle models of the photo-neutron reaction
Author: Davis, Alan
Awarding Body: University of Manchester
Current Institution: University of Manchester
Date of Award: 1955
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The Onsager-Kaufman method is used to evaluate the partition functions of "face-centred" square Ising lattices (with zero magnetic field), i.e. square lattices which have an additional spin in the centre of each square, these spins interact with the four spins at the apices of the surrounding squares. For a certain range of the ratio of the interaction energy between pairs of apical spins, and, that between a central spin and an apical spin, there are three infinities in the specific heat - temperature curve. The same result, may hold for square Ising lattices in which both first and second nearest neighbours interact, but, Kaufman's method cannot be used for this problem.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available