Diffusion-limited aggregation with jumps and flights. (English) Zbl 0969.60080
From the author’s abstract: The paper suggests a generalisation of the diffusion-limited aggregation (DLA) based on using a general stochastic process to control particle movements before sticking to a growing cluster. This leads to models with variable characteristics that can provide a single framework for treating a number of earlier models of fractal growth: the DLA, the Eden model and the ballistic aggregation. Additionally, a classification of fractal growth models is suggested.
Reviewer: V.Schmidt (Ulm)
MSC:
| 60J60 | Diffusion processes |
References:
| [1] | Bunday B.D., An Introduction to Queueing Theory (1996) · Zbl 0881.60077 |
| [2] | Falconer K.J., Fractal Geometry (1990) |
| [3] | Gihman I.I., The Theory of Stochastic Processes II (1975) · Zbl 0305.60027 |
| [4] | DOI: 10.1016/S0040-6090(95)08282-4 · doi:10.1016/S0040-6090(95)08282-4 |
| [5] | Jiang Y., Phys. Rev 39 pp 4572– (1989) · doi:10.1103/PhysRevB.39.4572 |
| [6] | Meakin P., On Growth and Form pp 111– (1986) |
| [7] | DOI: 10.1016/0167-2789(95)00092-I · Zbl 0889.60102 · doi:10.1016/0167-2789(95)00092-I |
| [8] | Roberts A.P., Plzys.Rev 47 pp 2274– (1993) |
| [9] | Selinger R.B., Phys. Rev 40 pp 2590– (1989) · doi:10.1103/PhysRevA.40.2590 |
| [10] | Stanley H.E., On Grohvth and Form (1986) |
| [11] | Vandewalle N., Phys. Rev 51 pp 597– (1995) · doi:10.1103/PhysRevE.51.597 |
| [12] | Vicsek T., Fractal Growth Phenomena (1989) · Zbl 0744.28005 |
| [13] | DOI: 10.1103/PhysRevLett.47.1400 · doi:10.1103/PhysRevLett.47.1400 |
| [14] | Witten T.A., Phys. Rev 27 pp 5686– (1983) · doi:10.1103/PhysRevB.27.5686 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
