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On one-dimensional regular assemblies

Published online by Cambridge University Press:  24 October 2008

G. S. Rushbrooke  and
H. D. Ursell
G. S. Rushbrooke
Affiliation:
Department of Physical ChemistryThe University, Leeds
H. D. Ursell
Affiliation:
Department of MathematicsThe University, Leeds
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Extract

The grand partition function of any statistical assembly may be defined by the equation

where E denotes any value of the energy of the assembly, k is Boltzmann's constant, T the thermodynamic absolute temperature and λi a parameter which is later to be connected with the chemical potential, μi, of the ith species in the assembly by the simple formula

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 44 , Issue 2 , April 1948 , pp. 263 - 271
Copyright
Copyright © Cambridge Philosophical Society 1948

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References

REFERENCES

(1)Guggenheim, E. A.Proc. Roy. Soc. A, 169 (1938), 134.Google Scholar
(2)Ising, E.Z. Phys. 31 (1935), 253.CrossRefGoogle Scholar
(3)Temperley, H. N. V.Proc. Cambridge Phil. Soc. 40 (1944), 239.CrossRefGoogle Scholar
(4)Montroll, E. W.J. Chem. Phys. 9 (1941), 706.Google Scholar
(5)Gibbs, J. W.Collected works of J. Willard Gibbs, vol. 1, eqn. 171 (Longmans, Green and Co., 1928).Google Scholar