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arXiv · 1408.2307

Hotspots in two-phase conducting media

I. A. Sadovskyy·A. Glatz·V. M. Vinokur·P. N. Kropotin·T. I. Baturina
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Abstract

We study electric properties of random resistor networks consisting of resistors of two kinds numerically, focusing on the power loss across each bond. Tuning the ratio of the resistances $r$ and their respective fraction $\alpha$ we find that at large $r$ the conductance of the network is dominated by a few optimal, percolation-like, conducting paths. We demonstrate that the distribution of the local power losses $P$ is exponential, $\propto\exp(-P/\langle P\rangle)$, and reveal the spatial distribution of hotspots concentrating the main part of the dissipated power.

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I. A. Sadovskyy, A. Glatz, V. M. Vinokur, P. N. Kropotin, T. I. Baturina. 2014-08-11. Hotspots in two-phase conducting media. https://arxiv.org/abs/1408.2307

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