Critical dynamics of the kinetic Ising model on regular fractals
- 1 May 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 39 (13) , 9423-9431
- https://doi.org/10.1103/physrevb.39.9423
Abstract
By the exact time-dependent renormalization-group method, the critical dynamics of the kinetic Ising model on a family of regular fractal models is studied for the diffusion-limited-aggregation (DLA) model cluster. The scaling law of the dynamics exponent, Z=+2/ν, is found and it is shown that ν (the static correlation exponent) is independent of the choice of regular DLA clusters. The dynamics exponent Z=+2/ν is therefore proposed for a random DLA cluster.
Keywords
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