Interplay Between Structural Randomness, Composite Disorder, and Electrical Response: Resonances and Transient Delays in Complex Impedance Networks
arXiv:0903.0348 · doi:10.1103/PhysRevE.80.045101
Abstract
We study the interplay between structural and conductivity (composite) disorder and the collective electrical response in random networks models. Translating the problem of time-dependent electrical response (resonance and transient relaxation) in binary random composite networks to the framework of generalized eigenvalues, we study and analyze the scaling behavior of the density of resonances in these structures. We found that by controlling the density of shortcuts (topological randomness) and/or the composite ratio of the binary links (conductivity disorder), one can effectively shape resonance landscapes, or suppress long transient delays in the corresponding random impedance networks.
5 pages, 4 figures; Papers on related research can be found at http://www.rpi.edu/~korniss/Research/
References in corpus (12)
- Finding and evaluating community structure in networks
- Theory of resistor networks: The two-point resistance
- Heat Conduction Process on Community Networks as a Recommendation Model
- Scaling theory of transport in complex networks
- Theory of impedance networks: The two-point impedance and LC resonances
- Anomalous Transport in Complex Networks
- Synchronization in Weighted Uncorrelated Complex Networks in a Noisy Environment: Optimization and Connections with Transport Efficiency
- Physical realizability of small-world networks
- Nature-Inspired Interconnects for Self-Assembled Large-Scale Network-on-Chip Designs
- Diffusion Processes on Power-Law Small-World Networks
- Scaling in Small-World Resistor Networks
- Flows on Graphs with Random Capacities