Linear Thermodynamics and Phenomenological Coefficients

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


It results from the equilibrium equalities (3.14), that in its neighbourhood, the link between the flows Jα and the forces Xα may be assumed to be linear:
Such relations are called phenomenological laws, where the Lαβ denote the phenomenological coefficients. They include many empirical laws such as the Fourier’s law for the heat conduction, the Fick’s law for the diffusion, the Newton law for viscous fluids, and so on. The entropy production (3.6) takes here the quadratic form:
implying the inequalities:
Hence, the proper coefficients Lαα, Lββ, have to be positive quantities. On the contrary the relations (4.1) are rarely useful in representing chemical kinetics, which belongs generally to the non-linear thermodynamics.


Entropy Production Phenomenological Coefficient Microscopic Reversibility Global Entropy Onsager Reciprocity Relation 
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  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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