Abstract.
We have studied the structure of annealed two-dimensional diffusion-limited aggregates (DLA). The annealing process consists of introducing internal flexibility to the original DLA rigid structure as well as excluded volume interactions between particles. From extensive Monte Carlo simulations we obtained aggregates with fractal dimension slightly higher than that obtained for two-dimensional DLA structures. This is somehow surprising since the fractal dimension of the annealed structure is determined not only by connectivity but also by the competing effects of excluded volume interactions and configurational entropy, whilst in the rigid DLA only diffusion counts for the fractal-dimension value.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
T. Vicsek, Phys. Rev. Lett. 53, 2281 (1984)
T.A. Witten, L.M. Sander, Phys. Rev. Lett. 47, 1400 (1981)
P. Meakin, Phys. Rev. Lett. 51, 1119 (1983)
M. Kolb, R. Botet, R. Jullien, Phys. Rev. Lett. 51, 1123 (1983)
P. Meakin, Fractals, scaling and growth far from equilibrium, (Cambridge University Press, Cambridge, 1998)
L.M. Sander, Contemp. Phys. 41, 203 (2000)
D.A. Weitz, M. Oliveria, Phys. Rev. Lett. 52, 1433 (1984)
D.W. Schaefer, J.E. Martin, P. Wiltzius, D.S. Cannell, Phys. Rev. Lett. 52, 2371 (1984)
C. Aubert, D.S. Canell, Phys. Rev. Lett. 56, 738 (1986)
A. Thill, S. Moustier, J. Aziz, M.R. Wiesner, J.Y. Bottero, J. Colloid Interface Sci. 243, 171 (2001)
See for example, M.R. Gittings, L. Cipelletti, V. Trappe, D.A. Weitz, M. In, C. Marques, J. Phys. Chem. B 104, 4381 (2000)
P. Meakin, J. Chem. Phys. 83, 3645 (1985)
P. Meakin, R. Jullien, J. Phys. France 46, 1543 (1985)
C.I. Mendoza, C.M. Marques, Physica A 335, 305 (2004)
P. Meakin, R. Jullien, J. Chem. Phys. 89, 246 (1988)
T. Vicsek, Fractal growth phenomena, 2nd edn. (World Scientific, Singapore, 1992)
Q. Jiang, B.E. Logan, J. AWWA 88, 100 (1996)
Y. Adachi, Adv. Colloid Interface Sci. 56, 1 (1995)
X. Li, B.E. Logan, Environ. Sci. Technol. 31, 1229 (1997)
X. Li, B.E. Logan, Environ. Sci. Technol. 31, 1237 (1997)
T. Serra, B.E. Logan, Environ. Sci. Technol. 33, 2247 (1999)
M. Lach-hab, A.E. González, E. Blaisten-Barojas, Phys. Rev. E 54, 5456 (1996)
C. Aubert, D.S. Cannell, Phys. Rev. Lett. 56, 738 (1986)
M. Tirado-Miranda, A. Schmitt, J. Callejas-Fernández, A. Fernández-Barbero, Langmuir 15, 3437 (1999)
A. Fernández-Nieves, J.S. van Duijneveldt, A. Fernández-Barbero, B. Vincent, F.J. de las Nieves, Phys. Rev. E 64, 051603 (2001)
M. Filoche, B. Sapoval, Phys. Rev. Lett. 85, 5118 (2000)
S. Groskinsky, M. Timme, B. Naundorf, Phys. Rev. Lett. 88, 245501 (2002)
K. Binder, A. Milchev, J. Baschnagel, Ann. Rev. Mater. Sci. 26, 107 (1996)
D. Frenkel, B. Smit, Understanding molecular simulation (Academic Press, San Diego, California, 1996)
M. Kotelyanskii, D.N. Theodorou, Simulation Methods for Polymers (Marcel Dekker Inc., New York, NY, 2004)
Shi-Min Cui, Zhen Yu Chen, Phys. Rev. E 53, 6238 (1996)
M. Doi, S.F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1988)
S.T. Milner, T.A. Witten, M.E. Cates, Macromolecules 21, 2610 (1988)
M. Daoud, J.P. Cotton, J. Phys. France 43, 531 (1982)
B.B. Mandelbrot, Fractal Geometry of Nature (Freeman, San Francisco, 1982)
S. Tolman, P. Meakin, Phys. Rev. A 40, 428 (1989)
P. Ossadnik, Physica A 176, 454 (1991)
P.G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, New York, 1979)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mendoza, C., Ramìrez-Santiago, G. Annealing two-dimensional diffusion-limited aggregates. Eur. Phys. J. B 48, 75–80 (2005). https://doi.org/10.1140/epjb/e2005-00370-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2005-00370-5