论文信息 - Long-range correlations in smoke-particle aggregates

Long-range correlations in smoke-particle aggregates

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.

[1] Tom C. Lubensky,et al. Critical Properties of Spin-Glasses , 1976 .

[2] R. Buhrman,et al. Ultrafine metal particles , 1976 .

[3] H. Stanley,et al. Cluster shapes at the percolation threshold: and effective cluster dimensionality and its connection with critical-point exponents , 1977 .

[4] William Feller,et al. An Introduction to Probability Theory and Its Applications , 1951 .

[5] H. Stanley,et al. Thermally driven phase transitions near the percolation threshold in two dimensions , 1976 .

[6] F. Hausdorff. Dimension und äußeres Maß , 1918 .

[7] M. Fisher. The theory of equilibrium critical phenomena , 1967 .

[8] D. S. McKenzie. Polymers and scaling , 1976 .

[9] D. G. Watts,et al. Spectral analysis and its applications , 1968 .

[10] Michael E. Fisher,et al. The renormalization group in the theory of critical behavior , 1974 .

[11] M. Duneau,et al. Strong cluster properties for classical systems with finite range interaction , 1974 .

[12] M. Nelkin. Scaling theory of hydrodynamic turbulence , 1975 .

[13] W. Feller,et al. An Introduction to Probability Theory and Its Application. , 1951 .

[14] B. Mandelbrot,et al. Fractals: Form, Chance and Dimension , 1978 .