COMPUTING TRANSPORT PROPERTIES OF HETEROGENEOUS MEDIA BY AN OPTIMIZATION METHOD

S. M. Vaez Allaei and Muhammad Sahimi
Additional contact information
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

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 01, 1-16

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.

Keywords: Conjugate-gradient method; optimization; percolation networks; conductivity; elastic moduli; 47.55.Mh; 47.11.+j; 02.60.Pn (search for similar items in EconPapers)
Date: 2005
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183105006905
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:16:y:2005:i:01:n:s0129183105006905

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183105006905

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().