By Uzi Landman (eds.)

ISBN-10: 1461341663

ISBN-13: 9781461341666

ISBN-10: 146134168X

ISBN-13: 9781461341680

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**Additional resources for Statistical Mechanics and Statistical Methods in Theory and Application**

**Sample text**

9) over some of the densities for fixed values of the remaining densities and of the fields, just as w(v/T, -l/T;p,~). 4). Alternatively, the original w may be contracted to w(Vl,···,vc+l;W) = max w(vl, ••. 11) where wand X are any two independent functions of the densities; etc. The equilibrium values of W,X, ••• are the ones at which these w's are maximal for the given values of the fields, and the maximum value in question is the equilibrium PiT at the given vI' ... , v +1. X). as given by mean-field theory, are shown for fixed values of v1 ••••• v C+ 1 in Figures 8 and 9.

29 SERIES EXPANSION APPROXIMANTS ACKNOWLEDGEMENTS The first conception of the new approximants arose at a stimulating workshop on Pade approximants organized by Dr. D. Bessis and held at CNRS, Marseille in May 1975. I am grateful to Dr. Bessis and other participants, in particular Dr. E. Brezin, Prof. L. Gammel and Dr. J. Zinn-Justin for fruitful interactions. Essential programming work and valuable comments have been contributed by Dr. M. Springgate and Mr. Robert M. Kerr. It is a pleasure to acknowledge the support of the National Science Foundation, in part through the Materials Science Center at Cornell University.

E. and Pfeuty, P. (1972) Phys. Rev. B ~, 1889. Gammel, J. S. (1972) reported at the Univ. Kent Conf. , Ed. ) - - (1973b) "Pade Approximants" (Lectures at the Univ. of Kent Summer School, 1972), (Institute of Physics, London). R. E. (1975) Computer Phys. Commun. 10, 234. J. (1975) J. Phys. A~, 1081. J. S. (1972) J. Phys. A l, L81. Harbus, F. E. (1972) Phys. Rev. Lett. - - (1973) Phys. Rev. B~, 1141,1156. P. (1972), Phys. Rev. Lett. 28, 449. R. E. (1975) Phys. Rev. B 12, 263. , Jasnow, D. E. (1974) Phys.

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