Noise exponents of the random resistor network
نویسندگان
چکیده
منابع مشابه
Noise exponents of the random resistor network.
We consider the critical properties of the two-point resistance and its fluctuations due to microscopic noise in a randomly diluted resistor network near the percolation threshold pc. We introduce a n×m replicated Hamiltonian in order to treat separately the configuration average over the randomly occupied bonds denoted [ ]av and the average over probability distribution function of the fluctua...
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We study the multifractal spectrum of the current in the two-dimensional random resistor network at the percolation threshold. We consider two ways of applying the voltage difference: (i) two parallel bars, and (ii) two points. Our numerical results suggest that in the infinite system limit, the probability distribution behaves for small i as P(i) approximately 1/i, where i is the current. As a...
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The randomly diluted resistor network is formulated in terms of an n-replicated s-state Potts model with a spin-spin coupling constant J in the limit when first n, then s, and finally 1/J go to zero. This limit is discussed and to leading order in 1/J the generalized susceptibility is shown to reproduce the results of the accompanying paper where the resistor network is treated using the xy mod...
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15 صفحه اولA Random Resistor Network Model of Space-Time
A new model of space-time is proposed that incorporates the properties of a random resistor network. The self-similar nature of such networks is particularly useful in extrapolating force interactions to different levels of scale. By modeling time and matter as current and resistance, respectively, a simple equation for mass, time, and motion is derived that provides a novel mechanism for the d...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 1987
ISSN: 0163-1829
DOI: 10.1103/physrevb.35.5048