A walker diffusion method is derived to solve ohmic circuit problems and demonstrated on a Sierpinski triangle network.
Conductivity properties of the Sierpinski triangle
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abstract
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.
fields
cond-mat.stat-mech 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Walker diffusion method for solution of ohmic circuit problems
A walker diffusion method is derived to solve ohmic circuit problems and demonstrated on a Sierpinski triangle network.