Anomalous power law dispersions in ac conductivity and permittivity shown to be characteristics of microstructural electrical networks

被引:148
作者
Almond, DP [1 ]
Bowen, CR [1 ]
机构
[1] Univ Bath, Mat Res Ctr, Dept Engn & Appl Sci, Bath BA2 7AY, Avon, England
关键词
D O I
10.1103/PhysRevLett.92.157601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The frequency dependent ac conductivity and permittivity of porous lead zirconate titanate ceramic with the pore volume filled with water are shown to match the simulated electrical response of a large network of randomly positioned resistors and capacitors. Anomalous power law dispersions in conductivity and permittivity are shown to be an electrical response characteristic of the microstructural network formed by the porous lead zirconate titanate pore structure. The anomalous power law dispersions of a wide range of materials are also suggested to be microstructural network characteristics.
引用
收藏
页码:157601 / 1
页数:4
相关论文
共 15 条
[1]   High-dilution carbon-black/polymer composites: Hierarchical percolating network derived from Hz to THz ac conductivity [J].
Adriaanse, LJ ;
Reedijk, JA ;
Teunissen, PAA ;
Brom, HB ;
Michels, MAJ ;
BrokkenZijp, JCM .
PHYSICAL REVIEW LETTERS, 1997, 78 (09) :1755-1758
[2]   The dielectric properties of random R-C networks as an explanation of the 'universal' power law dielectric response of solids [J].
Almond, DP ;
Vainas, B .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1999, 11 (46) :9081-9093
[3]   The 'emergent scaling' phenomenon and the dielectric properties of random resistor-capacitor networks [J].
Bouamrane, R ;
Almond, DP .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2003, 15 (24) :4089-4100
[4]   Universality of ac conduction in disordered solids [J].
Dyre, JC ;
Schroder, TB .
REVIEWS OF MODERN PHYSICS, 2000, 72 (03) :873-892
[5]   CONDUCTIVITY DISPERSION IN SINGLE-CRYSTAL BETA-ALUMINA ELECTROLYTE [J].
GRANT, RJ ;
HODGE, IM ;
INGRAM, MD ;
WEST, AR .
NATURE, 1977, 266 (5597) :42-43
[6]   MECHANICAL AND IONIC RELAXATION IN NA2O3SIO2 GLASS [J].
HIGGINS, TJ ;
VOLTERRA, V ;
MACEDO, PB .
JOURNAL OF THE AMERICAN CERAMIC SOCIETY, 1972, 55 (10) :488-&
[7]  
Hunt AG, 2001, PHILOS MAG B, V81, P875, DOI 10.1080/13642810110060133
[8]   PHYSICAL BASIS OF DIELECTRIC LOSS [J].
JONSCHER, AK .
NATURE, 1975, 253 (5494) :717-719
[9]  
Jonscher AK., 1996, Universal Relaxation Law
[10]  
Lichtenecker K., 1926, PHYS Z, VXXVII, P115