D J Jacobs et al 1994 J. Phys. A: Math. Gen. 27 4341 doi:10.1088/0305-4470/27/13/010
D J Jacobs, S Mukherjee and H Nakanishi
Show affiliationsWe present a much improved calculation of the dynamic critical exponents of diffusion dw, ds, and the combination df/dw for the DLA (diffusion-limited aggregate) on square and simple cubic lattices using two independent approaches, one based on the exact enumeration for the displacement and velocity autocorrelation and the other on the eigenspectrum of random walks on the DLA. The two methods give consistent results, which, however, clearly rule out the scaling relation ds=2df/dw first proposed by Alexander and Orbach (1982), similarly to the case of the Eden tree reported previously.
64.60.Ht Dynamic critical phenomena
61.43.Hv Fractals; macroscopic aggregates (including diffusion-limited aggregates)
82C27 Dynamic critical phenomena
Issue 13 (7 July 1994)
D J Jacobs et al 1994 J. Phys. A: Math. Gen. 27 4341
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