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...

Transport in undoped graphene is related to percolating current patterns in the networks of n- and p-type regions reflecting the strong bipolar charge density fluctuations. Finite transparency of the p-n junctions is vital in establishing the macroscopic conductivity. We propose a random resistor network model to analyze scaling dependencies of the conductance on the doping and disorder, the qu...

An approach by Stephen is used to investigate the critical properties of randomly diluted resistor networks near the percolation threshold by means of renormalized field theory. We reformulate an existing field theory by Harris and Lubensky. By a decomposition of the principal Feynman diagrams we obtain a type of diagrams which again can be interpreted as resistor networks. This new interpretat...

There are two dynamics issues in vision chips: (i) The temporal dynamics issue due to the parasitic capacitors in a CMOS chip, and (ii) the spatial dynamics issue due to the regular array of processing elements in a chip. These issues are discussed in [1]–[3] for the resistor network with only associated parasitic capacitances. However, in this paper we consider also parasitic inductances as we...

In this study, we propose two types of coupled oscillators networks and investigate their steady states. One network has two-dimensional honeycomb structure. The other network has twedimensional lattice structure. In the Honeycomb circuit, adjacent three oscillators are coupled by one coupling resistor and it is considered that the voltages of three oscillators around a coupling resistor make t...

We explore the connection between the higher moments of the current (or voltage) distribution in a random linear resistor network, and the resistance of a nonlinear random resistor network. We find that the two problems are very similar, and that an infinite set of exponents are required to fully characterise each problem. These exponent sets are shown to be identical on a particular hierarchic...

[1] During dissolution in porous or fractured rock, a positive feedback between fluid transport and chemical reactions at the mineral surfaces may lead to the formation of pronounced, wormhole-like channels. As the dissolution proceeds the channels interact, competing for the available flow, and eventually the growth of the shorter ones ceases. Thus the number of channels decreases with time wh...