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Prog. Theor. Phys. Vol. 68 No. 1 (1982) pp. 129-147

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Kinetic Drumhead Models of Interface. II

Kyozi Kawasaki and Takao Ohta

Department of Physics, Kyushu University 33, Fukuoka 812

(Received March 1, 1982)

Abstract:

The equation of motion is derived for the interfaces formed in the general reaction-diffusion system which includes systems undergoing phase transformations in some strong coupling regime where the interface thickness can be regarded as small compared to other length scales in the problem. Taking into account effects of the curvature permits extensions of the theory of “interface” in one spatial dimension described in the Appendix to multi-dimensional cases. The related work of Langer and Turski is discussed in the light of the present investigation.


URL : http://ptp.ipap.jp/link?PTP/68/129/
DOI : 10.1143/PTP.68.129

[ Full Text PDF : FREE ACCESS (734K) ] Citation:

References:

  1. K. Kawasaki and T. Ohta, Prog. Theor. Phys. 62 (1982), 147 [PTP](to be referred to as I in the text). See also
    R. Bausch, V. Dohm, H. K. Janssen and R. K. P. Zia, Phys. Rev. Lett. 47 (1981), 1837[APS].
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    K. Kawasaki, lecture note at Nozawa Summer School (1977, unpublished).
  10. J. S. Langer, Ann. of Phys. 65 (1971), 53[CrossRef].
  11. W. I. Goldburg, in Scattering Techniques Applied to Supramolecular and Nonequilibrium Systems, ed. S-H. Chen et al. (Plenum Press, 1981).

Citing Article(s) :

  1. Journal of the Physical Society of Japan 60 (1991) pp. 3600-3603 :
    Relaxation of Crystal Shape Profile near the Facet Edge
    Takao Yamamoto, Noriko Akutsu and Yasuhiro Akutsu
  2. Progress of Theoretical Physics Vol. 73 No. 6 (1985) pp. 1377-1389 :
    Euclidean Invariant Formulation of Phase Dynamics. I
    Takao Ohta
  3. Progress of Theoretical Physics Vol. 75 No. 3 (1986) pp. 482-495 :
    Statistical Properties of Random Interface System
    Hiroyuki Tomita
  4. Progress of Theoretical Physics Supplement No.79 (1984) pp. 161-190 :
    Topological Defects and Non-Equilibrium
    Kyozi Kawasaki

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