Aggregation, Snowflakes, and Viscous Fingering


[Citation counts listed when above 100.]

  1. H. Gould, F. Family, and H. E. Stanley, "Kinetics of Formation of Randomly Branched Aggregates," Phys. Rev. Lett. 50, 686-689 (1983). PDF [Citations: 123]
  2. P. Meakin and H. E. Stanley, "Novel Dimension-Independent Behavior for Diffusive Annihilation on Percolation Fractals," J. Phys. A 17, L173-L178 (1984). PDF [Citations: 139]
  3. P. Meakin, I. Majid, S. Havlin, and H. E. Stanley, "Topological Properties of Diffusion-Limited Aggregation and Cluster-Cluster Aggregation," J. Phys. A 17, L975-L981 (1984). PDF
  4. J. Nittmann, G. Daccord, and H. E. Stanley, "Fractal Growth of Viscous Fingers: A Quantitative Characterization of a Fluid Instability Phenomenon," Nature 314, 141-144 (1985). PDF of Article -- PDF of Cover [Citations: 424]
  5. P. Meakin, H. E. Stanley, A. Coniglio and T. A. Witten, "Surfaces, Interfaces and Screening of Fractal Structures," Phys. Rev. A 32, 2364-2369 (1985). PDF [Citations: 126]
  6. G. Daccord, J. Nittmann, and H. E. Stanley, "Radial Viscous Fingers and DLA: Fractal Dimension and Growth Sites," Phys. Rev. Lett. 56, 336-339 (1986). PDF [Citations: 205]
  7. P. Meakin, A. Coniglio, H. E. Stanley, and T. A. Witten, "Scaling Properties for the Surfaces of Fractal and Non-Fractal Objects: An Infinite Hierarchy of Critical Exponents," Phys. Rev. A 34, 3325-3340 (1986). PDF [Citations: 170]
  8. J. Nittmann and H. E. Stanley, "Connection between Tip-Splitting Phenomena and Dendritic Growth," Nature 321, 663-668 (1986). PDF Featured on Cover [Citations: 326]
  9. J. Nittmann, H. E. Stanley, E. Touboul, and G. Daccord, "Experimental Evidence for Multifractality," Phys. Rev. Lett. 58, 619-622 (1987). PDF
  10. J. Nittmann and H. E. Stanley, "Non-Deterministic Approach to Anisotropic Growth Patterns with Continuously-Tunable Morphology: The Fractal Properties of Some Real Snowflakes," J. Phys. A 20, L1185-L1191 (1987). PDF Described in detail in Chapter 5 of P. Ball, The Self-Made Tapestry: Pattern Formation in Nature (Oxford University Press, New York, 1999).
  11. J. Nittmann and H. E. Stanley, Role of Fluctuations in "Viscous Fingering and Dendritic Crystal Growth: A Noise-Driven Model with Non-Periodic Sidebranching and No Threshold for Onset," J. Phys. A 20, L981-L986 (1987). PDF
  12. H. E. Stanley and P. Meakin, "Multifractal Phenomena in Physics and Chemistry," Nature 335, 405-409 (1988). PDF [Citations: 364]
  13. S. Havlin, R. Selinger, M. Schwartz, H. E. Stanley, and A. Bunde, "Random Multiplicative Processes and Transport in Structures with Correlated Spatial Disorder," Phys. Rev. Lett. 61, 1438 (1988). PDF
  14. S. Miyazima, Y. Hasegawa, A. Bunde and H. E. Stanley, "Generalized Diffusion-Limited Aggregation Where Aggregate Sites have a Finite Radical Time," J. Phys. Soc. Japan 57, 3376-3380 (1988).
  15. J. Lee and H. E. Stanley, "Phase Transition in the Multifractal Spectrum of Diffusion-Limited Aggregation," Phys. Rev. Lett. 61, 2945-2948 (1988). PDF [Citations: 147]
  16. P. Devillard and H. E. Stanley, "Evolution of Interfaces for a Model Interpolating between Diffusion-Limited Aggregation and the Eden Model," Phys. Rev. A 38, 6451-6454 (1988). PDF
  17. C. Amitrano, P. Meakin, and H. E. Stanley, "Fractal Dimension of the Accessible Perimeter of Diffusion-Limited-Aggregation," Phys. Rev. A 40, 1713-1716 (1989). PDF
  18. S. Havlin, M. Schwartz, R. Blumberg Selinger, A. Bunde, and H. E. Stanley, "Universality Classes for Diffusion in the Presence of Correlated Spatial Disorder," Phys. Rev. A 40, 1717-1719 (1989). PDF
  19. J. Lee and H. E. Stanley, "Phase Transition in Diffusion-Limited Aggregations: Lee and Stanley Reply," Phys. Rev. Lett. 63, 1190 (1989). PDF
  20. J. Lee, P. Alstrom, and H. E. Stanley, "Exact Enumeration Approach to Multifractal Structure for Diffusion Limited Aggregation," Phys. Rev. A 39, 6545-6556 (1989). PDF
  21. J. Lee, P. Alstrom, and H. E. Stanley, "Scaling of the Minimum Growth Probability for the `Typical' DLA Configuration," Phys. Rev. Lett. 62, 3013 (1989). PDF
  22. R. B. Selinger, J. Nittmann, and H. E. Stanley, "Inhomogeneous Diffusion-Limited Aggregation," Phys. Rev. A 40, 2590-2601 (1989). PDF
  23. F. Caserta, H. E. Stanley, W. Eldred, G. Daccord, R. Hausman, and J. Nittmann, "Physical Mechanisms Underlying Neurite Outgrowth: A Quantitative Analysis of Neuronal Shape," Phys. Rev. Lett. 64, 95-98 (1990). PDF [Citations: 119]
  24. J. Lee, S. Havlin, H. E. Stanley, and J. E. Kiefer, "Hierarchical Model for the Multifractality of Diffusion Limited Aggregation," Phys. Rev. A 42, 4832-4837 (1990). PDF
  25. T. Nagatani and H. E. Stanley, "Crossover in Diffusion-Limited Aggregation with Reaction Times," Phys. Rev. A 42, 3512-3517 (1990). PDF
  26. T. Nagatani and H. E. Stanley, "Crossover and Thermodynamic Representation in the Extended Eta Model for Fractal Growth," Phys. Rev. A 42, 4838-4844 (1990). PDF
  27. S. Schwarzer, J. Lee, A. Bunde, S. Havlin, H. E. Roman, and H. E. Stanley, "Minimum Growth Probability of Diffusion-Limited Aggregates," Phys. Rev. Lett. 65, 603-606 (1990). PDF
  28. J. Lee, A. Coniglio, and H. E. Stanley, "Fractal-to-Nonfractal Crossover for Viscous Fingers," Phys. Rev. A 41, 4589-4592 (1990). PDF
  29. H. E. Stanley, A. Bunde, S. Havlin, J. Lee, H. E. Roman, and S. Schwarzer, "Dynamic Mechanisms of Disorderly Growth: Recent Approaches to Understanding Diffusion Limited Aggregation," Physica A 168, 23-48 (1990). PDF
  30. S. Schwarzer, J. Lee, S. Havlin, H. E. Stanley, and P. Meakin, "Distribution of Growth Probabilities for Off-Lattice Diffusion-Limited Aggregation," Phys. Rev. A 43, 1134-1137 (1991). PDF
  31. C. K. Peng, S. Havlin, M. Schwartz, and H. E. Stanley, "Directed-Polymer and Ballistic-Deposition Growth with Correlated Noise," Phys. Rev. A 44, R2239-R2242 (1991). PDF
  32. K. R. Bhaskar, P. Garik, B. S. Turner, J. D. Bradley, R. Bansil, H. E. Stanley, and J. T. LaMont, "Viscous Fingering of HCl Through Gastric Mucin," Nature 360, 458-461 (1992). PDF of Article PDF of Cover
  33. H. Larralde, P. A. Trunfio, S. Havlin, H. E. Stanley, and G. H. Weiss, "Territory Covered by N Diffusing Particles," Nature 355, 423 (1992). PDF Accompanied by News & Views editorial "New Paths for Random Walkers" by M. F. Shlesinger, p. 396. PDF
  34. J. Lee, S. Havlin, and H. E. Stanley, "Analytic Solution of the Growth Site Probability Distribution for Structural Models of Diffusion Limited Aggregation," Phys. Rev. A 45, 1035 (1992).
  35. J. Lee, S. Schwarzer, A. Coniglio, and H. E. Stanley, "Localization of Growth Sites in DLA Clusters: Multifractality and Multiscaling," Phys. Rev. E 48, 1305-1315 (1993). PDF
  36. H. E. Stanley, A. Coniglio, S. Havlin, J. Lee, S. Schwarzer and M. Wolf, "Diffusion Limited Aggregation: A Paradigm of Disorderly Cluster Growth," Proc. International Conference on Statistical Mechanics [Physica A 205, 254-271 (1994)].
  37. Y. Lereah, I. Zarudi, E. Grunbaum, G. Deutscher, S. V. Buldyrev, and H. E. Stanley, "Morphology of Ge:Al Thin Films: Experiments and Model," Phys. Rev. E 49, 649-656 (1994). PDF
  38. S. Schwarzer, S. Havlin, and H. E. Stanley, "Scaling Properties of Diffusion Limited Aggregation, the Percolation Hull, and Invasion Percolation," Phys. Rev. E 49, 1182-1197 (1994). PDF
  39. P. Jensen, A.-L. Barabasi, H. Larralde, S. Havlin, and H. E. Stanley, "Controlling Nanostructures," Nature 368, 22 (1994). PDF
  40. T. Stosic, B. Stosic, S. Milosevic, and H. E. Stanley, "Fractal-to-Euclidean Crossover of the Thermodynamic Properties of the Ising Model," Phys. Rev. E 49, 1009-1018 (1994). PDF
  41. P. Jensen, A.-L. Barabasi, H. Larralde, S. Havlin, and H. E. Stanley, "Model Incorporating Deposition, Diffusion and Aggregation in Submonolayer nanostructures," Phys. Rev. E 50, 618-621 (1994). PDF
  42. P. Jensen, A.-L. Barabasi, H. Larralde, S. Havlin, and H. E. Stanley, "Deposition, Diffusion and Aggregation of Atoms on Surfaces: A Model for Nanostructure Growth," Phys. Rev. B 50, 15316-15329 (1994). PDF [Citations: 155]
  43. R. Bansil, H. E. Stanley, and T. J. LaMont, "Mucin Biophysics," Annual Review of Physiology 57, 635-657 (1995). PDF
  44. F. Caserta, W. D. Eldred, E. Fernandez, R. E. Hausman, L. R. Stanford, S. V. Buldyrev, S. Schwarzer and H. E. Stanley, "Determination of Fractal Dimension of Physiologically Characterized Neurons in Two and Three Dimensions," J. Neurosci. Methods 56, 133-144 (1995).
  45. S. Schwarzer, S. Havlin, P. Ossadnik, and H. E. Stanley, "Number of Branches in Diffusion-Limited Aggregates: The Skeleton," Phys. Rev. E 53, 1795-1804 (1996). PDF
  46. L. Cruz, B. Urbanc, S. V. Buldyrev, R. Christie, T. Gosmez-Isla, S. Havlin, M. McNamara, H. E. Stanley, and B. T. Hyman, "Aggregation and Disaggregation of Senile Plaques in Alzheimer Disease," Proc. Acad. Natl. Sci. 94, 7612-7616 (1997). PDF
  47. P. Gruebel, K. R. Bhaskar. D. R. Cave, P. Garik, H. E. Stanley, and J. T. LaMont, "Interaction of an Aluminum-Magnesium Containing Antacid and Gastric Mucin: Possible Contribution to the Cytoprotective Function of Antacids," Alimentary Pharmacology and Therapeutics 11, 139-145 (1997).
  48. B. Urbanc, L. Cruz, S. V. Buldyrev, S. Havlin, B. T. Hyman, and H. E. Stanley, "Dynamic Feedback in an Aggregation-Disaggregation Model," Phys. Rev. E 60, 2120-2126 (1999). PDF
  49. F. Ding, N. V. Dokholyan, S. V. Buldyrev, H. E. Stanley, and E. I. Shakhnovich, "Molecular Dynamics Simulation of the SH3 Domain Aggregation Suggests a Generic Amyloidogenesis Mechanism," J. Mol. Biol. 324, 851-857 (2002). PDF
  50. C.-K. Peng, F. Ding, B. Urbanc, S. V. Buldyrev, L. C. Cruz, H. E. Stanley, and N. V. Dokholyan, "Discrete Molecular Dynamics Simulations of Peptide Aggregation," Phys. Rev. E 69, 041908 (2004). PDF

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