Scaling Theory of Non-Equilibrium Systems near the Instability Point. I --General Aspects of Transient Phenomena--

作者: M. Suzuki

DOI: 10.1143/PTP.56.77

关键词: InstabilityPoint (geometry)ScalingPhysicsRelaxation (physics)Transient (oscillation)Range (mathematics)Thermodynamic equilibriumNonlinear systemStatistical physics

摘要: A new idea of scaling for transient phenomena near the instability point is proposed. This theory based on a generalized scale transformation time and very useful in discussing relaxation fluctuation non-equilibrium systems asymptotically unstable point. The whole range divided into three regions: initial regime which ordinary £-expansion valid, enhance­ ment occurs evolution equations functions are obtained, final system approaches equilibrium state. As an example, nonlinear Fokker-Planck equation studied by help present theory. possibility applications this general to various kinds pointed out.

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