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Thermodynamic limit for a system with dipole-dipole interactions

Published online by Cambridge University Press:  17 February 2009

E. R. Smith  and
J. W. Perram
E. R. Smith
Affiliation:
Department of Mathematics, University of Newcastle, New South Wales, 2308, Australia
J. W. Perram
Affiliation:
Department of Applied Mathematics, Research School of Physical Sciences, Australian National University, Canberra, A. C. T., 2600.
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Abstract

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It is shown that for the three dimensional Ising model with dipole-dipole interactions, the thermodynamic limit of the free energy with simple boundary conditions is not the same as the thermodynamic limit of the free energy with periodic boundary conditions. A variational principle is developed to connect the two free energies.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 19 , Issue 1 , June 1975 , pp. 116 - 128
Copyright
Copyright © Australian Mathematical Society 1975

References

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