Critical dynamics of the kinetic Ising model on fractal geometries
- 1 April 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 31 (7) , 4732-4734
- https://doi.org/10.1103/physrevb.31.4732
Abstract
The critical dynamics of the kinetic Glauber-Ising model on different fractal geometries is studied. The classes of fractals which are examined are the nonbranching Koch curves, the branching Koch curves, and the two-dimensional Sierpinski gasket. The critical dynamic exponent is calculated for these models using an exact renormalization-group transformation. The value z=2.58 for the two-dimensional Sierpinski gasket agrees with recent results from experiments performed in a percolating system.Keywords
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