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Prog. Theor. Phys. Supplement No.79 (1984) pp. 161-190

[ Full Text PDF : FREE ACCESS (1866K) ]

Topological Defects and Non-Equilibrium

Kyozi Kawasaki

Department of Physics, Kyushu University 33, Fukuoka 812

(Received August 21, 1984)

Abstract:

A theory of continuous dissipative media with topological defects is presented. We propose a reduction of information contained in the original nonlinear field equation which will describe long time and large scale behaviors of the system. The result is a coupled set of equations of motion for topological defects and phase variables away from the defects, which generalizes the phase dynamics. The theory is illustrated for the Darcy-Rayleigh convection. A gauge-theoretical approach to deal with continuous distribution of topological defects is described. Possible relevance of our approach to evolution of random patterns is suggested.


URL : http://ptp.ipap.jp/link?PTPS/79/161/
DOI : 10.1143/PTPS.79.161

[ Full Text PDF : FREE ACCESS (1866K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 73 No. 6 (1985) pp. 1377-1389 :
    Euclidean Invariant Formulation of Phase Dynamics. I
    Takao Ohta
  2. Progress of Theoretical Physics Supplement No.80 (1984) pp. 123-138 :
    Defect-Phase Dynamics for Dissipative Media with Potential
    Kyozi Kawasaki

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