Multifractality and 1/fnoise in the two-component random resistor network
- 1 January 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 45 (1) , 205-208
- https://doi.org/10.1103/physrevb.45.205
Abstract
The two-component random resistor network, i.e., the network composed of conducting and insulating bonds, both with finite values of conductance ( and ), is analyzed. Based on the general scaling assumption, a single crossover exponent for small value of h=/ for all multifractal moments of current or voltage distributions is found not only in d=2 dimensions. This allows us to describe the behavior of 1/f noise of the two-component random resistor network over the entire region of concentration p of the conducting component: Three pictures of the relative noise intensity S versus the concentration p are admissible, depending on the ratio of the microscopic-1/f-noise intensities of the components.
Keywords
This publication has 14 references indexed in Scilit:
- Multifractals and noise in metal-insulator mixturesPhysica A: Statistical Mechanics and its Applications, 1989
- Critical exponents for conductance and 1/f noise in discrete-lattice percolationJournal of Physics C: Solid State Physics, 1988
- Infinite hierarchy of exponents in a two-component random resistor networkJournal of Statistical Physics, 1987
- Multiscaling approach in random resistor and random superconducting networksPhysical Review B, 1986
- Resistance fluctuations in random resistor networks above and below the percolation thresholdPhysical Review B, 1986
- Flicker () Noise in Percolation Networks: A New Hierarchy of ExponentsPhysical Review Letters, 1985
- 1/fnoise in random resistor networks: Fractals and percolating systemsPhysical Review A, 1985
- Anomalous voltage distribution of random resistor networks and a new model for the backbone at the percolation thresholdPhysical Review B, 1985
- Critical exponents for the conductivity of random resistor latticesPhysical Review B, 1977
- Critical Behaviour of Conductivity and Dielectric Constant near the Metal‐Non‐Metal Transition ThresholdPhysica Status Solidi (b), 1976