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- W3023413938 abstract "We have used two models to study the decay of compact objects under the influence of external random fields. The diffusion-limited-decay model, where the decay proceeds via encounters by diffusing chemical reagents, leads to compact objects during the decay. On the other hand, the random-walk-decay model, where the diffusing reagent has a pronounced annihilation strength, produces fractals. At the decay threshold, at which point the largest connected cluster of the original compact object just pervades to all the original boundaries, the fractals are found to have the Hausdorf dimension of 1.75±0.03 and 2.34±0.03 in d=2 and 3 respectively. We have also determined the spectral dimensions (d S ) of these fractals at the decay threshold by two independent methods. d S is found to be 1.68±0.13 and 1.31±0.04 for d=2 and 3 respectively. These fractals thus do not obey the Alexander - Orbach conjecture." @default.
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- W3023413938 date "1984-01-01" @default.
- W3023413938 modified "2023-09-26" @default.
- W3023413938 title "FRACTAL GEOMETRIES IN DECAY MODELS" @default.
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- W3023413938 doi "https://doi.org/10.1016/b978-0-444-86912-8.50056-0" @default.
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