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A note on the Aboav-Weaire law

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  • Edwards, S.F.
  • Pithia, K.D.

Abstract

In this paper we present an alternative derivation of the Aboav-Weaire law. By first making the assumption that the mean of the number of sides surrounding a cell is a function of the time, leads to Mn, the mean number of sides surrounding a cell of sides n, as a linear function of the second moment μ, and is independent of n. This indicates that the local mean increases with time. When written in the form of the general Aboav-Weaire relation we find in their notation that a = 1 and b = 67. The analysis also leads to the relation that the deviation from the ensemble average, 6, is proportional to μ, and b is the coefficient of proportionality.

Suggested Citation

  • Edwards, S.F. & Pithia, K.D., 1994. "A note on the Aboav-Weaire law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(4), pages 577-584.
    • Handle: RePEc:eee:phsmap:v:205:y:1994:i:4:p:577-584
    DOI: 10.1016/0378-4371(94)90222-4
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