This title appears in the Scientific Report :
2002
Please use the identifier:
http://dx.doi.org/10.1103/PhysRevE.65.021301 in citations.
Please use the identifier: http://hdl.handle.net/2128/2196 in citations.
Approximate symmetry laws for percolation in complex systems : percolation in polydisperse composites
Approximate symmetry laws for percolation in complex systems : percolation in polydisperse composites
The concept of so-called global symmetry of percolation models is discussed and extended to multicolored models. An integral equation is obtained, which determines the partial percolation probabilities P-a for sites of color a. This equation is applied to a polydisperse particulate composite: a mixt...
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Personal Name(s): | Ioselevich, A. S. |
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Kornyshev, Yu. M. | |
Contributing Institute: |
Energieverfahrenstechnik; IWV-3 |
Published in: | Physical Review E Physical review / E, 65 65 (2002 2002) 2 2, S. 021301 021301 |
Imprint: |
College Park, Md.
APS
2002
2002-01-09 2002-01-01 |
Physical Description: |
21301 - 21310 |
DOI: |
10.1103/PhysRevE.65.021301 |
Document Type: |
Journal Article |
Research Program: |
Brennstoffzelle |
Series Title: |
Physical Review E
65 |
Subject (ZB): | |
Link: |
OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/2196 in citations.
The concept of so-called global symmetry of percolation models is discussed and extended to multicolored models. An integral equation is obtained, which determines the partial percolation probabilities P-a for sites of color a. This equation is applied to a polydisperse particulate composite: a mixture of conducting (of relative fraction x(m)) and nonconducting spheres with distributions of sizes n(m)(R) and n(i)(R), respectively. We find the probability P-R for a conducting particle of radius R to belong to the percolation cluster as a function of x(m) and a functional of n(m)(R') and n(i)(R'). The percolation threshold x is shown to decrease with increasing dispersion Delta of particle sizes. A simple law x= 1/(3[1 +(Delta/4)]) is obtained in the range of moderate dispersions. The theory is applicable also to a mixture of electronic and ionic conductors. |