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Prog. Theor. Phys. Vol. 51 No. 4 (1974) pp. 1257-1259

Letters

On the Derivation of the Dynamic Scaling Law by Means of Kadanoff's Cell Analysis and Coarse Graining of Time

Masao Suzuki

Institute for Solid State Physics, University of Tokyo, Roppongi, Minato-ku, Tokyo 106

(Received October 29, 1973)

URL : http://ptp.ipap.jp/link?PTP/51/1257/
DOI : 10.1143/PTP.51.1257

[ Full Text PDF : FREE ACCESS (256K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. M. Suzuki, H. Yahata and R. Kubo, J. Phys. Soc. Jpn. Suppl. 26 (1969), 153.
   H. Yahata and M. Suzuki, J. Phys. Soc. Jpn. 27 (1969), 895[JPSJ].
   H. Yahata, J. Phys. Soc. Jpn. 30 (1971), 657[JPSJ].
2. T. Schneider, E. Stoll and K. Binder, preprints.
3. R. A. Ferrell et al., Phys. Rev. Lett. 18 (1967), 891[APS].
   B. I. Halperin and P. C. Hohenberg, Phys. Rev. 177 (1969), 952[APS].
4. L. P. Kadanoff, Physics 2 (1966), 263.
   L. P. Kadanoff et al., Rev. Mod. Phys. 39 (1967), 395[APS].
5. B. I. Halperin, P. C. Hohenberg and S. Ma, Phys. Rev. Lett. 29 (1972), 1548[APS].
   M. Suzuki and G. Igarashi, Prog. Theor. Phys. 49 (1973), 1070[PTP].
   M. Suzuki, Prog. Theor. Phys. 50 (1973), 1767[PTP].
   B. I. Halperin and P. C. Hohenberg, presented at the Conference on the Renormalization Group Techniques at Temple Univ., 1973 May 29-31. G. Igarashi, preprint.
6. R. Kubo, J. Phys. Soc. Jpn. 12 (1957), 570[JPSJ].
7. K. G. Wilson, Phys. Rev. B 4 (1971), 3174[APS]; ibid. 4 (1971), 3184[APS].
8. B. I. Halperin, private communication.
   G. Igarashi and M. Suzuki, to be published.
9. M. Suzuki, Phys. Lett. A 43 (1973), 245[CrossRef].
10. R. Kubo, K. Matsuo and K. Kitahara, J. Stat. Phys. 9 (1973), 51[CrossRef].
    H. Mori and H. Fujisaka, Prog. Theor. Phys. 49 (1973), 764, [PTP]and preprint.

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 433-452 :

   Dynamics of Macrovariables for Nonuniform Systems

   Hazime Mori

2. Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 722-725 :

   Perturbational Renormalization Group Approach to Critical Dynamics in Stochastic Models

   Masuo Suzuki and Fumihiko Tanaka

3. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 871-885 :

   Critical Relaxation of a Non-Linear Fokker-Planck Equation

   Hideo Yahata

4. Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1617-1640 :

   Stochastic Processes of Macroscopic Variables

   Hazime Mori

5. Progress of Theoretical Physics Vol. 54 No. 6 (1975) pp. 1679-1692 :

   Coherent Representation of Dynamical Renormalization Group in Bose Systems

   Fumihiko Tanaka

6. Progress of Theoretical Physics Vol. 55 No. 6 (1976) pp. 2041-2042 :

   On the Nonlinear Critical Slowing Down in the Stochastic Model

   Masuo Suzuki and Hiroshi Ikeda

7. Progress of Theoretical Physics Vol. 61 No. 3 (1979) pp. 864-880 :

   Real-Space Renormalization Group Approach to Critical Dynamics

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

8. Progress of Theoretical Physics Vol. 63 No. 1 (1980) pp. 42-50 :

   Pseudo-Critical Phenomena in the Fisher-Domb Cluster Model

   Hiroshi Ikeda

9. Progress of Theoretical Physics Vol. 68 No. 6 (1982) pp. 1917-1934 :

   Universality and Scaling Law of Long-Time Tails in Multiplicative Stochastic Processes

   Masuo Suzuki

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