Communications in Mathematical Physics

, Volume 125, Issue 1, pp 13–25 | Cite as

Hydrodynamics in a symmetric random medium

  • J. Fritz


We investigate the hydrodynamic behaviour of a one-dimensional Ginzburg-Landau model with conservation law in the presence of random conductivities. It is found that there is no interference between nonlinearity and randomness; the conductivities average out in the same way as they do in the case of the underlying random walk in the given medium. This means that we have an effective conductivity specified as the harmonic mean of microscopic conductivities. Some extensions including multidimensional systems in a small electric field are also discussed.


Neural Network Statistical Physic Complex System Random Walk Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • J. Fritz
    • 1
    • 2
  1. 1.Mathematical Institute, H.A.S.BudapestHungary
  2. 2.Institut des Hautes Etudes ScientifiquesBures-sur-YvetteFrance

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