SCOPUS 정보 검색 플랫폼

Volumn 68, Issue 23, 1992, Pages 3456-3459

Golden mean arithmetic in the fractal branching of diffusion-limited aggregates

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000325979 PISSN: 00319007 EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevLett.68.3456 Document Type: Article

Times cited : (70)

References (36)

1
- 84927402551
- The Physics of Structure Formation, edited by W. Guttinger and D. Dangelmayr (Springer, Berlin, 1987); Random Fluctuations and Pattern Growth, edited by H. E. Stanley and N. Ostrowsky (Kluwer, Dordrecht, 1988); J. Feder, Fractals (Pergamon, New York, 1988); T. Vicsek, Fractal Growth Phenomena (World Scientific, Singapore, 1989).

2
- 4243632346
- (1981) Phys. Rev. Lett. , vol.47 , pp. 1400
- Witten, T.¹ Sander, L.M.²

3
- 4243556741
- (1983) Phys. Rev. B , vol.27 , pp. 5868
- Witten, T.¹ Sander, L.M.²

4
- 0003411551
- edited by, C. Domb, J. L. Lebowitz, Academic, Orlando, Vol. 12.
- (1988) Phase Transitions and Critical Phenomena
- Meakin, P.¹

16
- 84927402550
- Box-counting and fixed-mass algorithms [6,7] and, more recently, the investigation of the scaling exponents of both the length and the width of the branches of large mass ( M = 107) off-lattice DLA clusters [5(b)] have confirmed the estimate DF= 1.60 +- 0.02. This value is significantly smaller than the dynamical dimension Dd= 1.71 +- 0.02 deduced from the evolution of the radius of gyration versus the mass during cluster growth [2,3]. Both of these dimensions do not seem to converge asymptotically to a unique value, as commonly believed.

17
- 84927402549
- ``Uncovering Fibonacci Sequences in the Fractal Morphology of Diffusion-Limited Aggregates'' (to be published).
- Arneodo, A.¹ Argoul, F.² Muzy, J.F.³ Tabard, M.⁴

20
- 0001642126
- (1988) Phys. Rev. Lett. , vol.60 , pp. 2511
- Procaccia, I.¹ Zeitak, R.²

23
- 0001648815
- (1984) Phys. Rev. Lett. , vol.53 , pp. 415
- Plischke, M.¹ Rácz, Z.²

24
- 30244521901
- edited by, N. B. Abraham, A. M. Albano, A. Passamante, P. E. Rapp, Plenum, New York
- (1989) Measure of Complexity and Chaos , pp. 433
- Argoul, F.¹ Arneodo, A.² Elezgaray, J.³ Grasseau, G.⁴

27
- 0003964807
- edited by, L. Pietronero, Plenum, New York
- (1989) Fractals' Physical Origin and Properties

29
- 84927402541
- in Wavelets, edited by J. M. Combes, A. Grossmann, and P. Tchamitchian (Springer, Berlin, 1989), p. 182;

30
- 0041484374
- edited by, G. Turchetti, World Scientific, Singapore
- (1988) Nonlinear Dynamics , pp. 130
- Arneodo, A.¹ Argoul, F.² Elezgaray, J.³ Grasseau, G.⁴

32
- 84927402539
- ``Wavelet Analysis of Fractal Signals: Direct Determination of the Singularity Spectrum of Fully Developed Turbulence Data (Springer, Berlin, to be published);
- Arneodo, A.¹ Bacry, E.² Muzy, J.F.³

33
- 84927402537
- ``Singularity Spectrum of Fractal Signals from Wavelet Analysis: Exact Results'' (to be published).
- Bacry, E.¹ Muzy, J.F.² Arneodo, A.³

34
- 84927402536
- J. M. Ghez and S. Vaienti, ``Integrated Wavelets on Fractal Sets. II The generalized Fractal Dimensions'' (to be published).

35
- 84927402535
- New York University Technical, (Computer Science Department, 1989).
- Mallat, A.¹ Zhong, S.²

36
- 84927402534
- Note that a complete description of the scaling properties of multifractal measures requires both the locations and the values of the WT modula maxima (see Ref. [17]).

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.