Long-range correlations in smoke-particle aggregates

@inproceedings{Forrest1979LongrangeCI,
  title={Long-range correlations in smoke-particle aggregates},
  author={Stephen R Forrest and Thomas Adams Witten},
  year={1979}
}
Ultrafine smoke particles stick together to form chain-like aggregates. We find that the particle density has long-range correlations of the same form in iron, zinc or silicon dioxide aggregates. The correlation data suggest a power-law spatial dependence giving a Hausdorff dimension between 1.7 and 1.9. We discuss the consistency of these results with a model based on percolation. We also compare our results with a random-walk model, which has a nominal Hausdorff dimension of 2. 

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A n Introduction to Probability Theory and Its Application (New York: Wiley

H Abarbanel
  • Phase Transitions and Critical Phenomena eds C Domb and Duneau M, Iagolnitzer D and Souillard B 1974 Commun. Math. Phys
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