منابع مشابه
The branching structure of diffusion-limited aggregates
– I analyze the topological structures generated by diffusion-limited aggregation (DLA), using the recently developed “branched growth model”. The computed bifurcation number B for DLA in two dimensions is B ≈ 4.9, in good agreement with the numerically obtained result of B ≈ 5.2. In high dimensions, B → 3.12; the bifurcation ratio is thus a decreasing function of dimensionality. This analysis ...
متن کاملFluctuating and diffusion-limited hypoxia in hypoxia-induced metastasis.
PURPOSE Most tumors develop regions with hypoxic cells during growth, owing to permanent limitations in oxygen diffusion (chronic or diffusion-limited hypoxia) and/or transient limitations in blood perfusion (acute or fluctuating hypoxia). The aim of this study was to investigate the relative significance of chronic and acute hypoxia in the development of metastatic disease. EXPERIMENTAL DESI...
متن کاملThe harmonic measure of diffusion-limited aggregates including rare events
We obtain the harmonic measure of diffusion-limited aggregate (DLA) clusters using a biased random-walk sampling technique which allows us to measure probabilities of random walkers hitting sections of clusters with unprecedented accuracy; our results include probabilities as small as 10−80. We find the multifractal D(q) spectrum including regions of small and negative q. Our algorithm allows u...
متن کاملNumber of branches in diffusion-limited aggregates: The skeleton.
We develop the skeleton algorithm to define the number of main branches Nb of diffusion-limited aggregation (DLA) clusters. The skeleton algorithm provides a systematic way to remove dangling side branches of the DLA cluster and has successfully been applied to study the ramification properties of percolation. We study the skeleton of comparatively large (≈ 10 sites) off-lattice DLA clusters in...
متن کاملMultifractal structure of the harmonic measure of diffusion-limited aggregates.
The method of iterated conformal maps allows one to study the harmonic measure of diffusion-limited aggregates with unprecedented accuracy. We employ this method to explore the multifractal properties of the measure, including the scaling of the measure in the deepest fjords that were hitherto screened away from any numerical probing. We resolve probabilities as small as 10(-35), and present an...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2004
ISSN: 0378-4371
DOI: 10.1016/j.physa.2003.11.030