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arxiv: 1710.06346 · v1 · pith:VUO3MYHUnew · submitted 2017-10-17 · ❄️ cond-mat.stat-mech

Conductivity properties of the Sierpinski triangle

classification ❄️ cond-mat.stat-mech
keywords triangleconductivitysierpinskiasymptotically--thatbondsclassiccomprisedconducting
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The classic Sierpinski triangle comprised of conducting bonds is multifractal. Thus the critical exponents and dimensions related to the conductivity are obtained asymptotically--that is, in the limit that the correlation length {\xi} of the recursive triangle goes to infinity.

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  1. Walker diffusion method for solution of ohmic circuit problems

    cond-mat.stat-mech 2019-06 unverdicted novelty 4.0

    A walker diffusion method is derived to solve ohmic circuit problems and demonstrated on a Sierpinski triangle network.