Persistent Propagation of Concentration Waves in Dissipative Media Far from Thermal Equilibrium
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ID: 299027
1976
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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.
| Reference Key |
openalex_W2139886236
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|---|---|
| Authors | Y. Kuramoto, T. Tsuzuki |
| Journal | progress of theoretical physics |
| Year | 1976 |
| DOI |
10.1143/ptp.55.356
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| URL | |
| Keywords | Keywords not found |
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