Real-Space Renormalization Group Approach to Critical Dynamics: -- Migdal Approximation and Other New Methods --
Open Access
- 1 March 1979
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 61 (3) , 864-880
- https://doi.org/10.1143/ptp.61.864
Abstract
This paper represents some general aspects of real-space renormalization group approach to critical dynamics. The main idea is to combine Kadanoff's cell analysis with coarse graining of time corresponding to Markoffian approximation, which has been proposed by Suzuki to derive the dynamic scaling law. In order to realize this idea explicitly, the Migdal approximation is extended to the two-dimensional kinetic Ising model, to obtain z=1.96 for the dynamical critical exponent z. This result agrees very well with the value z=2.0±0.05 obtained by Yahata and Suzuki in a high temperature expansion method. Other new methods for real-space RGA are also proposed.Keywords
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