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Computing Transport Properties Of Heterogeneous Media By An Optimization Method

Author

Listed:
  • S. M. VAEZ ALLAEI

    (Institute for Advanced Studies in Basic Sciences, Gava Zang, Zanjan 45195-159, Iran)

  • MUHAMMAD SAHIMI

    (Department of Chemical Engineering, University of Southern California, Los Angeles, California 90089-1211, USA)

Abstract

The problem of computing the effective transport and mechanical properties of disordered materials, modeled by random or correlated percolation networks, is studied as an optimization problem. We show that calculating an optimal distribution of the potentials (voltages, displacements, etc.) throughout a disordered material that minimizes its total energy reduces the computation times for calculating the effective properties by a factor that depending on the morphology of the system, ranges from 3 to 73. Hence, this offers significant speed-up over the most efficient numerical methods currently available.

Suggested Citation

  • S. M. Vaez Allaei & Muhammad Sahimi, 2005. "Computing Transport Properties Of Heterogeneous Media By An Optimization Method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 1-16.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:01:n:s0129183105006905
    DOI: 10.1142/S0129183105006905
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    References listed on IDEAS

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    1. Tél, Tamás & Vollmer, Jürgen & Mátyás, László, 2003. "Comments on the paper ‘Particles, maps and irreversible thermodynamics’ by E.G.D. Cohen, L. Rondoni, Physica A 306 (2002) 117," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 323-326.
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