Synergetics : Some Recent Trends and Developments

概要

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Synergetics deals with systems composed of many subsystems such as atoms, molecules, photons, cells, etc. It studies how the cooperation of subsystems can bring about spatial, temporal or functional structures on a macroscopic scale. In the present paper I focus my attention on physical or chemical systems far from thermal equilibrium. A number of such systems undergo disorder-order or order-order transitions having many features in common with phase transitions of systems in thermal equilibrium. I first sketch generalized Ginzburg-Landau equations which I derived some years ago and which mainly serve to treat nonequilibrium phase transitions starting from homogeneous quiescent states. I then show, how the order parameter concept and slaving principle can be extended so to treat bifurcation and nonequilibrium phase transitions starting from limit cycles or quasiperiodic flows in inhomogeneous media.
理論物理学刊行会の論文
1979-04-01