On the critical dynamics of one-dimensional disordered Ising models
- 21 April 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (6) , L387-L392
- https://doi.org/10.1088/0305-4470/20/6/009
Abstract
The critical dynamics of a disordered Ising ferromagnetic chain with two coupling constants (J1>or=J2>0) is studied for Glauber dynamics. Using a domain wall argument the dynamical critical exponent z is found to be non-universal but independent of the disorder, namely z=1+J1/J2. The problem is formulated in terms of diffusion in a random medium. The diffusion is shown to be normal. Relationships with apparently very different diffusion problems, like the diffusion in hierarchically structured media, are established.Keywords
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