The Library
Causality bound on the density of aggregates
Tools
Tools
Tools
Ball, Robin and Witten, T. (Thomas A.) (1984) Causality bound on the density of aggregates. Physical Review A (General Physics), Vol.29 (No.5). pp. 2966-2967. doi:10.1103/PhysRevA.29.2966 ISSN 0556-2791.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1103/PhysRevA.29.2966
Abstract
The irreversible accretion of diffusing particles onto a large cluster results in a tenuous aggregate characterized by a fractal dimension D0 smaller than that of space. The rate of aggregation onto the fastest-growing sites in such a process must not increase indefinitely as the cluster grows. This fact sets a lower limit on the fractal dimension, viz., the dimension d of space minus 1. For aggregation of ballistically moving particles, this bound implies that the aggregate must be compact: The fractal dimension must equal that of space. In general, if the aggregating particles follow trajectories of fractal dimension D1, the bound implies D0>~d-D1+1.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics Q Science > QD Chemistry |
||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
| Library of Congress Subject Headings (LCSH): | Causality (Physics), Aggregation (Chemistry), Fractals | ||||
| Journal or Publication Title: | Physical Review A (General Physics) | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 0556-2791 | ||||
| Official Date: | May 1984 | ||||
| Dates: |
|
||||
| Volume: | Vol.29 | ||||
| Number: | No.5 | ||||
| Page Range: | pp. 2966-2967 | ||||
| DOI: | 10.1103/PhysRevA.29.2966 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
