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Random-walk theory and the decay of pair correlations in Ornstein-Zernike lattice systems

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  • Robledo, A.
  • Farquhar, I.E.

Abstract

A random-walk formalism is applied to some general Ornstein-Zernike lattice systems to obtain information as to the asymptotic form of the total correlation function. Calculations in terms of the Percus-Yevick approximation are then presented for certain lattice gases with interactions extending over a few orders of neighbours, illustrating the circumstances in which the decay of the total correlation function may be monotonic or oscillatory.

Suggested Citation

  • Robledo, A. & Farquhar, I.E., 1976. "Random-walk theory and the decay of pair correlations in Ornstein-Zernike lattice systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(3), pages 472-491.
    • Handle: RePEc:eee:phsmap:v:84:y:1976:i:3:p:472-491
    DOI: 10.1016/0378-4371(76)90099-6
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    References listed on IDEAS

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    1. Vern Pings, 1967. "A study of the use of materials circulated from an engineering library, March to May 1956," American Documentation, Wiley Blackwell, vol. 18(3), pages 178-184, July.
    2. Penrose, Edith, 1973. "International Patenting and the Less-Developed Countries," Economic Journal, Royal Economic Society, vol. 83(331), pages 768-786, September.
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