Inequalities for higher order Ising spins and for continuum fluids |
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| Authors: | Joel L Lebowitz James L Monroe |
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| Institution: | (1) Belfer Graduate School of Science, Yeshiva University, New York, N.Y., USA;(2) Dept. of Physics, Columbia University, New York, N.Y., USA |
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| Abstract: | The recently derived Fortuin, Kasteleyn and Ginibre (FKG) inequalities for lattice gasses are investigated for higher order Ising spin systems and multi-component lattice gasses. Conditions are given for the validity of the FKG inequalities for higher order spin systems with Hamiltonians of the form used recently as models for various physical systems, e.g.He
3–He
4 mixtures. We also investigate various inequalities for binary lattice gases and show how these can be carried over to continuum systems.Supported in part by U.S.A.F.O.S.R. # F 44620-71-C-0013.N.S.F. Graduate Trainee. |
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