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Prog. Theor. Phys. Vol. 63 No. 4 (1980) pp. 1181-1189

[ Full Text PDF : FREE ACCESS (630K) ]

Critical Fluctuations of Schlögl's Chemical Model

Yutaka Fukuyama and Hazime Mori*

Department of Physics, Nagasaki University, Nagasaki 852
*Department of Physics, Kyushu University, Fukuoka 812

(Received October 24, 1979)

Abstract:

Fluctuations in Schlögl's x3 chemical model near its non-equilibrium critical point are investigated in both the homogeneous and the critical region. Renormalized reaction rates are calculated with the aid of Wilson's renormalization-group method, and the results are compared with Nicolis and Turner's classical theory.


URL : http://ptp.ipap.jp/link?PTP/63/1181/
DOI : 10.1143/PTP.63.1181

[ Full Text PDF : FREE ACCESS (630K) ] Citation:

References:

  1. F. Schlögl, Z. Phys. 253 (1972), 147.
  2. A. Nitzan, P. Ortoleva, J. Deutch and J. Ross, J. Chem. Phys. 61 (1974), 1056[CrossRef].
  3. H. Haken, Synergetics-An Introduction (Springer-Verlag, Berlin, Heidelberg, New York, 1977), 2nd enlarged edition (1978).
  4. H. Haken ed., Synergetics-A Workshop (Springer-Verlag, Berlin, Heidelberg, New York, 1977).
  5. G. Nicolis and J. W. Turner, Physica A 89 (1977), 326[CrossRef].
  6. H. Mori and K. J. McNeil, Prog. Theor. Phys. 57 (1977), 770[PTP].
  7. H. Mori, Prog. Theor. Phys. 53 (1975), 1617[PTP].
  8. H. Mori, M. Tokuyama and T. Morita, Prog. Theor. Phys. Suppl. No. 64 (1978), 50[PTP].
  9. G. Dewel, D. Walgraef and P. Borckmans, Z. Phys. B 28 (1977), 235.
  10. K. G. Wilson, Physica 73 (1974), 119[CrossRef].
  11. P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. 49 (1977), 435[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 63 No. 6 (1980) pp. 1865-1884 :
    Contraction of State Variables in Non-Equilibrium Open Systems. I
    Hazime Mori, Terumitsu Morita and Kazuko T. Mashiyama
  2. Progress of Theoretical Physics Vol. 65 No. 2 (1981) pp. 746-750 :
    Renormalization Group Approach to the Hard Mode Instability
    Jun-Ichiro Tada and Satoshi Takada
  3. Progress of Theoretical Physics Vol. 65 No. 6 (1981) pp. 1820-1834 :
    Anomalous Fluctuations near Nonequilibrium Soft Transitions. I
    Kazuko T. Mashiyama, Kiyohumi Takayoshi and Hazime Mori

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