LOGIN TO YOUR ACCOUNT

Username
Password
Remember Me
Or use your Academic/Social account:

CREATE AN ACCOUNT

Or use your Academic/Social account:

Congratulations!

You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.

Important!

Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message

CREATE AN ACCOUNT

Name:
Username:
Password:
Verify Password:
E-mail:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Publisher: American Physical Society
Languages: English
Types: Article
Subjects: QC
Using off-lattice noise reduction, it is possible to estimate the asymptotic properties of diffusion-limited aggregation clusters grown in three dimensions with greater accuracy than would otherwise be possible. The fractal dimension of these aggregates is found to be 2.50 +/- 0.01, in agreement with earlier studies, and the asymptotic value of the relative penetration depth is xi/R-dep = 0.122 +/- 0.002. The multipole powers of the growth measure also exhibit universal asymptotes. The fixed point noise reduction is estimated to be epsilon(f) similar to0.0035, meaning that large clusters can be identified with a low noise regime. The slowest correction to scaling exponents are measured for a number of properties of the clusters, and the exponent for the relative penetration depth and quadrupole moment are found to be significantly different from each other. The relative penetration depth exhibits the slowest correction to scaling of all quantities, which is consistent with a theoretical result derived in two dimensions. We also note fast corrections to scaling, whose limited relevance is consistent with the requirement that clusters grow far enough in radius to support sufficient scales of ramification.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] T. A. Witten and L. M. Sander, Physical Review Letters 47, 1400 (1981).
    • [2] R. M. Brady and R. C. Ball, Nature 309, 225 (1984).
    • [3] H. Fujikawa and M. Matsushita, Journal of the Physical Society of Japan 58 No. 11, 3875 (1989).
    • [4] J. S. Langer, Reviews of Modern Physics 52 No. 1, 1 (1980).
    • [5] J. Nittmann, G. Daccord, and H. E. Stanley, Nature 314, 141 (1985).
    • [6] B. B. Mandelbrot, Physica A 191, 95 (1992).
    • [7] E. Somfai, L. M. Sander, and R. C. Ball, Physical Review Letters 83 No. 26, 5523 (1999).
    • [8] C. Tang, Physical Review A 31 No. 3, 1977 (1985).
    • [9] R. C. Ball, Physica A 140, 62 (1985).
    • [10] P. W. Barker and R. C. Ball, Physical Review A 42, 6289 (1990).
    • [11] M. B. Hastings and L. S. Levitov, Physica D 116, 244 (1998).
    • [12] R. C. Ball, N. E. Bowler, L. M. Sander, and E. Somfai, Physical Review E 66, 026109 (2002).
    • [13] S. Tolman and P. Meakin, Physical Review A 40 No. 1, 428 (1989).
    • [14] P. Meakin, Physical Review A 27 No. 3, 1495 (1983).
    • [15] P. Meakin, Physical Review A 27 No. 1, 604 (1983).
    • [16] L. M. Sander, Z. M. Cheng, and R. Richter, Physical Review B 28 No. 11, 6394 (1983).
    • [17] R. Gagne and H. Kroger, Chaos, Solitons and Fractals 7 No. 1, 125 (1996).
    • [18] S. Schwarzer, S. Havlin, and H. E. Stanley, Physica A 191, 117 (1992).
    • [19] S. Schwarzer, M. Wolf, S. Havlin, P. Meakin, and H. E. Stanley, Physcial Review A 46 No. 6, R3016 (1992).
    • [20] B. Davidovitch, M. H. Jensen, A. Levermann, J. Mathiesen, and I. Procaccia, Physical Review Letters 86 No. 16, 164101 (2001).
    • [21] M. T. Batchelor and B. I. Henry, Physica A 233, 905 (1996).
    • [22] A. Vespignani and L. Pietronero, Physica A 173 No. 1-2, 1 (1991).
    • [23] R. C. Ball and R. M. Brady, Journal of Physics A 18, L809 (1985).
    • [24] N. E. Bowler, Ph.D. thesis, Warwick University (2001).
    • [25] J. D. Jackson, Classical Electrodynamics (second edition) (John Wiley & Sons, Chichester, 1975).
    • [26] K. K. M. Tokuyama, Physics Letters A 100 No. 7, 337 (1984).
    • [27] N. R. Goold, R. C. Ball, and E. Somfai, New simulations of diffusion controlled growth, poster presented at Institute of Physics, Condensed Matter and Materials Conference, University of Warwick, April 2004.
    • ) (L1202 C 10-1
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article