Monte Carlo Simulation of Fully Markovian Stochastic Geometries

  • LEPAGE Thibaut
    Commissariat à l’Energie Atomique, DEN/DANS/DM2S/SERMA/LTSD CEA/Saclay
  • DELABY Lucie
    Commissariat à l’Energie Atomique, DEN/DANS/DM2S/SERMA/LTSD CEA/Saclay
  • MALVAGI Fausto
    Commissariat à l’Energie Atomique, DEN/DANS/DM2S/SERMA/LTSD CEA/Saclay
  • MAZZOLO Alain
    Commissariat à l’Energie Atomique, DEN/DANS/DM2S/SERMA/LTSD CEA/Saclay

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説明

The interest in resolving the equation of transport in stochastic media has continued to increase these last years. For binary stochastic media it is often assumed that the geometry is Markovian, which is never the case in usual environments. In the present paper, based on rigorous mathematical theorems, we construct fully two-dimensional Markovian stochastic geometries and we study their main properties. In particular, we determine a percolation threshold pc equal to 0.586±0.002 for such geometries. Finally, Monte Carlo simulations are performed through these geometries and the results compared to homogeneous geometries.

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