Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2002-06-29
Phys. Rev. E 61, 6219 (2000)
Physics
Condensed Matter
Disordered Systems and Neural Networks
21 pages
Scientific paper
10.1103/PhysRevE.61.6219
A generalizing formulation of dynamical real-space renormalization that suits for arbitrary spin systems is suggested. The new version replaces the single-spin flipping Glauber dynamics with the single-spin transition dynamics. As an application, in this paper we mainly investigate the critical slowing down of the Gaussian spin model on three fractal lattices, including nonbranching, branching and multibranching Koch Curve. The dynamical critical exponent $z$ is calculated for these lattices using an exact decimation renormalization transformation in the assumption of the magnetic-like perturbation, and a universal result $z=1/\nu $ is found.
Yang Z. R.
Zhu Jian-Yang
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