Conductivity of a suspension of nanowires in a weakly conducting medium

Details Conductivity of a suspension of nanowires in a weakly conducting medium Conductivity of a suspension of nanowires in a weakly conducting medium

2006-02-07

arxiv.org/abs/cond-mat/0602154v2

Phys. Rev. B 73, 155434 (2006)

Physics

Condensed Matter

Soft Condensed Matter

9 pages, 5 figures

Scientific paper

10.1103/PhysRevB.73.155434

We study macroscopic electrical or thermal conductivity of a composite made of straight or coiled nanowires suspended in poorly conducting medium. We assume that volume fraction of the wires is so large that spaces occupied by them overlap, but there is still enough room to distribute wires isotropically. We found a wealth of scaling regimes at different ratios of conductivities of the wire, $\sigma_1$ and of the medium, $\sigma_2$, length of wires, their persistent length and volume fraction. There are large ranges of parameters where macroscopic conductivity is proportional to $(\sigma_{1}\sigma_{2})^{1/2}$. These results are directly applicable to the calculation of the macroscopic diffusion constant of the nonspecific DNA-binding proteins in semidilute DNA solution.

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