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Prog. Theor. Phys. Vol. 55 No. 2 (1976) pp. 356-369

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Persistent Propagation of Concentration Waves in Dissipative Media Far from Thermal Equilibrium

Yoshiki Kuramoto and Toshio Tsuzuki*

Department of Physics, Kyushu University, Fukuoka 812
*Department of Physics, Tohoku University, Sendai 980

(Received July 4, 1975)

Abstract:

The origin of persistent wave propagation through medium of reaction-diffusion type is explored. Our theory is based on a generalized time-dependent Ginzburg-Landau equation for a complex field W, namely, the equation derived previously in connection with the instability problems in nonlinear chemical kinetics. For slow variation of W in space and time the above equation is further reduced to a Navier-Stokes-like one for the phase gradient of W. Under a certain condition, the “viscosity” coefficient becomes negative, and at the same time the temporally ordered state of uniform concentrations becomes unstable. In such a situation we find a particular solution corresponding to a propagating concentration wave with a wave-source or sink.


URL : http://ptp.ipap.jp/link?PTP/55/356/
DOI : 10.1143/PTP.55.356

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References:

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