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- W2012679319 abstract "The authors consider a fractal network of nonlinear resistors, with the voltage V behaving as a power of the current I, mod V mod =R mod I mod alpha . The resistance between two points at a distance L is R(L) varies as Lzeta ( alpha ). They prove that zeta (0) describes the scaling of the topological-chemical distance, while zeta ( infinity ) describes that of the number of singly connected 'red' bonds. For random resistors, they also consider the width of the resistance distribution, Delta R varies as L( zeta 2( alpha )). Values for zeta and zeta 2 are explicitly derived for two model fractals, and Delta R/R is found to grow with L for the Sierpinski gasket and alpha >1.612. The relevance of the results to percolation clusters is discussed." @default.
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- W2012679319 date "1985-06-01" @default.
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- W2012679319 title "Nonlinear resistor fractal networks, topological distances, singly connected bonds and fluctuations" @default.
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- W2012679319 doi "https://doi.org/10.1088/0305-4470/18/8/008" @default.
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