Emergent behaviour in large electrical networks

Springer Proceedings in Physics

Volumn 3, Issue , 2011, Pages 3-26

  Almond, Darryl P ^a   Budd, Chris J ^a   McCullen, Nick J ^a  

^a UNIVERSITY OF BATH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION ALGORITHMS; COMPLEX NETWORKS;

ELECTRICAL NETWORKS; EMERGENT BEHAVIOURS; REACTIVE ELEMENTS; SPECTRAL THEORY;

ELECTRIC NETWORK PARAMETERS;

EID: 84904052772     PISSN: 09308989     EISSN: 18674941     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-642-16876-5_1     Document Type: Conference Paper

References (16)

1. P.W. Anderson: More is different. Biology and Computation: A Physicist's Choice, 1994.
2. R. Bouamrane and D.P. Almond: The emergent scaling phenomenon and the dielectric properties of random resistor-capacitor networks. Journal of Physics, Condensed Matter 15(24), 2003, 4089-4100.
3. S.R. Broadbent and J.M. Hammersley: Percolation processes I,II. Proc. Cambridge Philos. Soc. 53, 1953, 629-641.
4. C. Brosseau: Modelling and simulation of dielectric heterostructures: a physical survey from an historical perspective. J. Phys. D: Appl. Phys. 39, 2005, 1277-1294.
5. J.P. Clerc, G. Giraud, J.M. Laugier, and J.M. Luck: The electrical conductivity of binary disordered systems, percolation clusters, fractals and related models. Adv. Phys. 39(3), June 1990, 191-309.
6. J.C. Dyre and T.B. Schrøder: Universality of ac conduction in disordered solids. Rev. Mod. Phys. 72(3), July 2000, 873-892.
7. K. Funke and R.D. Banhatti: Ionic motion in materials with disordered structures. Solid State Ionics 177(19-25), 2006, 1551-1557.
8. T. Jonckheere and J.M. Luck: Dielectric resonances of binary random networks. J. Phys. A: Math. Gen. 31, 1998, 3687-3717.
9. A.K. Jonscher: The universal dielectric response. Nature 267(23), 1977, 673-679.
10. A.K. Jonscher: Universal Relaxation Law: A Sequel to Dielectric Relaxation in Solids. Chelsea Dielectrics Press, 1996.
11. C.D. Lorenz and R.M. Ziff: Precise determination of the bond percolation thresholds and finite-size scaling corrections for the sc, fcc, and bcc lattices. Physical Review E 57(1), 1998, 230-236.
12. G.W. Milton: Bounds on the complex dielectric constant of a composite material. Applied Physics Letters 37, 1980, 300.
13. K.D. Murphy, G.W. Hunt, and D.P. Almond: Evidence of emergent scaling in mechanical systems. Philosophical Magazine 86(21), 2006, 3325-3338.
14. K.L. Ngai, C.T. White, and A.K. Jonscher: On the origin of the universal dielectric response in condensed matter. Nature 277(5693), 1979, 185-189.
15. V.-T. Truong and J.G. Ternan: Complex conductivity of a conducting polymer composite at microwave frequencies. Polymer 36(5), 1995, 905-909.
16. B. Vainas, D.P. Almond, J. Luo, and R. Stevens: An evaluation of random RC networks for modelling the bulk ac electrical response of ionic conductors. Solid State Ionics 126(1), 1999, 65-80.