Persistent Propagation of Concentration Waves in Dissipative Media Far from Thermal Equilibrium
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概要
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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.
- 理論物理学刊行会の論文
- 1976-02-25
著者
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Kuramoto Y
Kyoto Univ. Kyoto Jpn
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Kuramoto Yoshiki
Department Of Mathematics Graduate School Of Science Hokkaido University
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Tsuzuki Toshio
Department Of Physics Faculty Of Science Kyushu University
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