Percolation in composites

作者: Armin Bunde , Wolfgang Dieterich

DOI: 10.1023/A:1009997800513

关键词: Composite materialUniversality (dynamical systems)Materials scienceFractal dimensionContinuum percolation theoryPercolation thresholdCondensed matter physicsElectrical conductorPercolation theoryCritical exponentPercolation critical exponents

摘要: Many properties of composite materials such as diffusion, electrical conduction, dielectric response well elasticity, are intimately related to the geometrical arrangement constitutive phases, including geometry respective interfaces. Percolation theory, whose objective is characterize connectivity in random geometries and explore them with respect physical processes, thus provides a natural frame for theoretical description composites. This article explains basic concepts static percolation theory percolative transport, which subsequently applied specific experiments on heterogeneous ionic conductors.

参考文章(20)
Valerij V. Bryksin, Harald Böttger, Hopping conduction in solids ,(1985)
Shlomo Havlin, Armin Bunde, Fractals and Disordered Systems ,(1991)
A. L. Efros, B. I. Shklovskii, Critical Behaviour of Conductivity and Dielectric Constant near the Metal-Non-Metal Transition Threshold Physica Status Solidi B-basic Solid State Physics. ,vol. 76, pp. 475- 485 ,(1976) , 10.1002/PSSB.2220760205
E. J. Garboczi, K. A. Snyder, J. F. Douglas, M. F. Thorpe, Geometrical percolation threshold of overlapping ellipsoids Physical Review E. ,vol. 52, pp. 819- 828 ,(1995) , 10.1103/PHYSREVE.52.819
J.P. Clerc, G. Giraud, J.M. Laugier, J.M. Luck, The electrical conductivity of binary disordered systems, percolation clusters, fractals and related models Advances in Physics. ,vol. 39, pp. 191- 309 ,(1990) , 10.1080/00018739000101501
Scott Kirkpatrick, Percolation and Conduction Reviews of Modern Physics. ,vol. 45, pp. 574- 588 ,(1973) , 10.1103/REVMODPHYS.45.574
Sylvio Indris, Paul Heitjans, H. Eduardo Roman, Armin Bunde, Nanocrystalline versus Microcrystalline Li 2 O:B 2 O 3 Composites: Anomalous Ionic Conductivities and Percolation Theory Physical Review Letters. ,vol. 84, pp. 2889- 2892 ,(2000) , 10.1103/PHYSREVLETT.84.2889
J. Bernasconi, Real-space renormalization of bond-disordered conductance lattices Physical Review B. ,vol. 18, pp. 2185- 2191 ,(1978) , 10.1103/PHYSREVB.18.2185
Shechao Feng, B. I. Halperin, P. N. Sen, Transport properties of continuum systems near the percolation threshold Physical Review B. ,vol. 35, pp. 197- 214 ,(1987) , 10.1103/PHYSREVB.35.197