2011
DOI: 10.1103/physrevb.83.064203
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Transport properties of nonhomogeneous segregated composites

Abstract: In conductor-insulator composites in which the conducting particles are dispersed in an insulating continuous matrix the electrical connectedness is established by interparticle quantum tunneling. A recent formulation of the transport problem in this kind of composites treats each conducting particle as electrically connected to all others via tunneling conductances to form a global tunneling network. Here, we extend this approach to nonhomogeneous composites with a segregated distribution of the conducting ph… Show more

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Cited by 19 publications
(27 citation statements)
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“…To calculate δ c , we coat each conducting sphere with a concentric penetrable shell of thickness δ 0 /2, for each configuration of the system at a given volume fraction φ and time t; we consider two spheres as connected if their penetrable shells overlap (i.e., if δ ij ≤ δ 0 ). Using a clustering algorithm [32], we compute the minimum value δ of δ 0 such that a cluster of connected particles connects two opposite faces of the simulation box. We repeat this procedure along all three axes of the Gelation considerably lowers the values of δ for which P (δ) increases from 0 to 1, as shown in Fig.…”
Section: Critical Path Approximationmentioning
confidence: 99%
“…To calculate δ c , we coat each conducting sphere with a concentric penetrable shell of thickness δ 0 /2, for each configuration of the system at a given volume fraction φ and time t; we consider two spheres as connected if their penetrable shells overlap (i.e., if δ ij ≤ δ 0 ). Using a clustering algorithm [32], we compute the minimum value δ of δ 0 such that a cluster of connected particles connects two opposite faces of the simulation box. We repeat this procedure along all three axes of the Gelation considerably lowers the values of δ for which P (δ) increases from 0 to 1, as shown in Fig.…”
Section: Critical Path Approximationmentioning
confidence: 99%
“…As mentioned above, theories and simulations on systems of polydispersed rods predict that the tunnelling conductivity depends on the length distribution of the rods only through L w . This is readily seen by adopting the critical distance approximation for σ 8,12,[30][31][32]…”
Section: Resultsmentioning
confidence: 99%
“…We note that for large values of D 1 /ξ, which is the regime of practical interest for our purposes [17] (see also Sec. I), W (r) is well approximated by θ(r * −r), where θ(x) is 1 for x ≥ 0 and 0 otherwise.…”
Section: B Ema Analytical Formulamentioning
confidence: 97%