A note on the Aboav-Weaire law

S.F. Edwards and K.D. Pithia

Physica A: Statistical Mechanics and its Applications, 1994, vol. 205, issue 4, 577-584

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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:205:y:1994:i:4:p:577-584

DOI: 10.1016/0378-4371(94)90222-4

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