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Stability of Non Equilibrium States

  • Peter Glansdorff
Part of the International Centre for Mechanical Sciences book series (CISM, volume 74)

Abstract

Let us now investigate the stability of a non-equilibrium state, either steady or unsteady. We shall limit ourselves to small perturbations (linear stability theory). In the present case, we admit from outset, the inequalities (5.8) – (5.10). Therefore, according to (3.17), δ2 occurs either as a negative quadratic form, or as a definite negative quadratic form in the case of purely dissipative systems.

Keywords

Entropy Production Marginal State Dissipative System Excess Entropy Kinetic Condition 
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References

  1. [1]
    P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure Stability and Fluctuations, Wiley, Interscience, London, 1971.MATHGoogle Scholar
  2. [2]
    Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford, 1961.MATHGoogle Scholar
  3. [3]
    J.C. Legros, Thèse de doctorat, Chimie Physique, Université Libre de Bruxelles, 1971.Google Scholar

Copyright information

© Springer-Verlag Wien 1971

Authors and Affiliations

  • Peter Glansdorff
    • 1
  1. 1.Université Libre, BruxellesBelgium

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