Abstract
A real-space renormalization-group method has been developed to study the fractal and multifractal structures in diffusion limited aggregation [1–4]. In this article, we investigate the multifractal structure of the growth probability distribution in the viscous fingering of a non-Newtonian displaced fluid. The dependences of the α-f spectra of the growth probability distribution are shown on the parameter k describing the different non-Newtonian fluids.
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References
T. Nagatani, J. Phys. A20, L381(1987)
T. Nagatani, Phys. Rev. A36, 5812(1987)
T. Nagatani, Phys. Rev. A38, 2632(1988).
L. Pietronero, A. Erzan and C. Evertz, Phys. Rev. Lett. 61, 861 (1988)
L. Pietronero, A. Erzan and C. Evertz, Physica A151, 207(1988)
X. R. Wang, Y. Shapir and M. Rubinstein, Phys. Rev. A39, 5974 (1989)
X. R. Wang, Y. Shapir and M. Rubinstein, J. Phys. A22, L507(1989).
J. Lee, P. Alstrom and H E Stanley, Phys. Rev. A39, 6545(1989).
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© 1990 Springer-Verlag Berlin Heidelberg
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Nagatani, T., Usami, Y. (1990). Multifractal Structure of Non-Newtonian Viscous Fingers. In: Onuki, A., Kawasaki, K. (eds) Dynamics and Patterns in Complex Fluids. Springer Proceedings in Physics, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76008-2_41
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DOI: https://doi.org/10.1007/978-3-642-76008-2_41
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-76010-5
Online ISBN: 978-3-642-76008-2
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