Prog. Theor. Phys. Vol. 61 No. 3 (1979) pp. 864-880

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Real-Space Renormalization Group Approach to Critical Dynamics

— Migdal Approximation and Other New Methods —

Masuo Suzuki, Kiyoshi Sogo, Ikuo Matsuba, Hiroshi Ikeda, Terumi Chikama and Hiroshi Takano

Department of Physics, University of Tokyo, Tokyo 113

(Received November 7, 1978)

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.

URL : http://ptp.ipap.jp/link?PTP/61/864/
DOI : 10.1143/PTP.61.864

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Citing Article(s) :

Progress of Theoretical Physics Vol. 67 No. 5 (1982) pp. 1332-1352 :
Real-Space Renormalization Group Approach to the Kinetic Ising Model

Hiroshi Takano and Masuo Suzuki
Progress of Theoretical Physics Vol. 89 No. 5 (1993) pp. 973-983 :
Onsager's Principle from Large Deviation Point of View

Yoshitsugu Oono