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Prog. Theor. Phys. Vol. 84 No. 5 (1990) pp. 792-800

[ Full Text PDF : FREE ACCESS (459K) ]

Breakdown of the Phase Dynamics

Hidetsugu Sakaguchi

Department of Physics, College of General Education, Kyushu University, Fukuoka 810

(Received May 28, 1990)

Abstract:

We study the Ginzburg-Landau equations and the corresponding phase equations to investigate the wavelength changing process through the Eckhaus instability and the transition from a phase turbulence to an amplitude turbulence. A large deformation of amplitude is necessary for the transitions and so the phase description expressing slow modulation is broken down. We show by some numerical simulations what takes place in the phase equations at the transitions.


URL : http://ptp.ipap.jp/link?PTP/84/792/
DOI : 10.1143/PTP.84.792

[ Full Text PDF : FREE ACCESS (459K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 85 No. 3 (1991) pp. 417-421 :
    Instability of the Hole Solution in the Complex Ginzburg-Landau Equation
    Hidetsugu Sakaguchi
  2. Progress of Theoretical Physics Vol. 85 No. 5 (1991) pp. 927-932 :
    Defect Creation by the Eckhaus Instability
    Hidetsugu Sakaguchi
  3. Progress of Theoretical Physics Vol. 86 No. 4 (1991) pp. 759-763 :
    Zigzag Instability and Reorientation of Roll Pattern in the Newell-Whitehead Equation
    Hidetsugu Sakaguchi
  4. Progress of Theoretical Physics Vol. 87 No. 1 (1992) pp. 241-245 :
    Self-Organization of Target Pattern in a Coupled System of Lattice Oscillation and Lattice Deformation
    Hidetsugu Sakaguchi
  5. Progress of Theoretical Physics Vol. 89 No. 6 (1993) pp. 1123-1146 :
    Phase Dynamics and Localized Solutions to the Ginzburg-Landau Type Amplitude Equations
    Hidetsugu Sakaguchi

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