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On the Thermodynamic Limit in Random Resistors Networks
, 2008
"... Abstract. We study a random resistors network model on a euclidean geometry Z d. We formulate the model in terms of a variational principle and show that, under appropriate boundary conditions, the thermodynamic limit of the dissipation per unit volume is finite almost surely and in the mean. Moreov ..."
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Abstract. We study a random resistors network model on a euclidean geometry Z d. We formulate the model in terms of a variational principle and show that, under appropriate boundary conditions, the thermodynamic limit of the dissipation per unit volume is finite almost surely and in the mean
The spectral function of random resistor networks
 J. Phys
, 1996
"... Abstract. The effective complex conductivity σeff of a twocomponent material can be conveniently expressed as an integral transformation of a spectral function. The spectral function depends only on the geometry of the material, and can be used to calculate σeff for any particular choice of compone ..."
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Cited by 2 (0 self)
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calculations of the spectral function of twodimensional random resistor networks. Twodimensional discrete resistor networks are ideal for this study, as the Y – � transformation can be used as an algorithm to obtain the most detailed results to date. We identify the structure in the spectral function
A Random Resistor Network Model of SpaceTime
"... A new model of spacetime is proposed that incorporates the properties of a random resistor network. The selfsimilar 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, ..."
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A new model of spacetime is proposed that incorporates the properties of a random resistor network. The selfsimilar 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
Finitesize and Geometrical Effects in the Random Resistor Network
"... We study the transport properties of the percolating cluster for two different geometries. For the usual parallel bar geometry, we study finitesize effects and report evidence that in the infinite size limit the entire backbone contributes to the low current. For the geometry in which the voltage d ..."
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] for roughly twenty years. A particularly interesting system is the random resistor network (R...
LElTER TO THE EDITOR A transfermatrix approach to random resistor networks
, 1982
"... Abstract. We introduce a transfermatrix formulation to compute the conductance of random resistor networks. We apply this method to strips of width up to 40, and use finite size scaling arguments to obtain an estimate for the conductivity critical exponent in two dimensions, t = 1.28*0.03. 1. ..."
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Abstract. We introduce a transfermatrix formulation to compute the conductance of random resistor networks. We apply this method to strips of width up to 40, and use finite size scaling arguments to obtain an estimate for the conductivity critical exponent in two dimensions, t = 1.28*0.03. 1.
A Random Resistor Network Model of Motion in SpaceTime
"... A new model of motion in spacetime is proposed that incorporates the properties of a random resistor network. The selfsimilar nature of such networks was particularly useful in extrapolating force interactions to different levels of scale. By modeling time and matter as current and resistance, res ..."
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A new model of motion in spacetime is proposed that incorporates the properties of a random resistor network. The selfsimilar nature of such networks was particularly useful in extrapolating force interactions to different levels of scale. By modeling time and matter as current and resistance
Current distribution in the threedimensional random resistor network at the percolation threshold, Phys
 Rev. E
, 1996
"... We study the multifractal properties of the current distribution of the threedimensional random resistor network at the percolation threshold. For lattices ranging in size from 8 3 to 80 3 we measure the second, fourth and sixth moments of the current distribution, finding e.g. that t/ν = 2.282(5) w ..."
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Cited by 1 (0 self)
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We study the multifractal properties of the current distribution of the threedimensional random resistor network at the percolation threshold. For lattices ranging in size from 8 3 to 80 3 we measure the second, fourth and sixth moments of the current distribution, finding e.g. that t/ν = 2
LElTER TO THE EDITOR Logarithmic voltage anomalies in random resistor networks
, 1987
"... Abstract. We investigate the behaviour of the maximum voltage drop across the bonds in a random resistor network above the percolation threshold. On the basis of numerical simulations on randomly diluted Lx L square lattice networks, we find that the average value of the maximum voltage, (V,,, ( p; ..."
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Abstract. We investigate the behaviour of the maximum voltage drop across the bonds in a random resistor network above the percolation threshold. On the basis of numerical simulations on randomly diluted Lx L square lattice networks, we find that the average value of the maximum voltage, (V,,, ( p
LETTER TO THE EDITOR Conductance and resistance jumps in finitesize random resistor networks
, 1987
"... Abstract. When bonds are removed one by one and at random from a finitesize resistor network, the conductance (or resistance) does not change continuously, but rather a sequence of conductance (resistance) jumps of various sizes occurs. The larger jumps arise from those bonds which carry a relative ..."
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Abstract. When bonds are removed one by one and at random from a finitesize resistor network, the conductance (or resistance) does not change continuously, but rather a sequence of conductance (resistance) jumps of various sizes occurs. The larger jumps arise from those bonds which carry a
Resistance and resistance fluctuations in random resistor networks under biased percolation
 Phys. Rev. E
"... We consider a twodimensional random resistor network (RRN) in the presence of two competing biased percolations consisting of the breaking and recovering of elementary resistors. These two processes are driven by the joint effects of an electrical bias and of the heat exchange with a thermal bath. ..."
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Cited by 4 (4 self)
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We consider a twodimensional random resistor network (RRN) in the presence of two competing biased percolations consisting of the breaking and recovering of elementary resistors. These two processes are driven by the joint effects of an electrical bias and of the heat exchange with a thermal bath
Results 1  10
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958,492