INVARIANT BEHAVIOR CLASSES FOR THE RESPONSE OF SIMPLE FRACTAL CIRCUITS

被引:35
作者
HILL, RM [1 ]
DISSADO, LA [1 ]
NIGMATULLIN, RR [1 ]
机构
[1] KAZAN STATE UNIV,DEPT PHYS,KAZAN 420008,USSR
关键词
D O I
10.1088/0953-8984/3/48/019
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The response function of some simple fractal circuit systems are discussed. In addition to the ubiquitous constant phase angle response (CPA), a second behaviour class is identified and its dynamic scaling equation determined. The conditions under which each of the invariant behaviour classes occur have been derived. Computed response functions are used to illustrate the formal theoretical results. An outline is also given of the relationship of the circuit systems to experimental dielectric responses for which both behaviour classes can be observed.
引用
收藏
页码:9773 / 9790
页数:18
相关论文
共 31 条
[1]  
ALEXANDER S, 1982, J PHYS LETT-PARIS, V43, pL625, DOI 10.1051/jphyslet:019820043017062500
[2]   THE AC ELECTRICAL-CONDUCTIVITY OF BINARY DISORDERED-SYSTEMS, PERCOLATION CLUSTERS, FRACTALS AND RELATED MODELS [J].
CLERC, JP ;
GIRAUD, G ;
LAUGIER, JM ;
LUCK, JM .
ADVANCES IN PHYSICS, 1990, 39 (03) :191-308
[3]  
Cole K. S., 1972, MEMBRANES IONS IMPUL
[4]  
CONNOR FR, 1972, NETWORKS
[5]  
Debye P., 1945, POLAR MOL
[6]   THE FRACTAL NATURE OF THE CLUSTER MODEL DIELECTRIC RESPONSE FUNCTIONS [J].
DISSADO, LA ;
HILL, RM .
JOURNAL OF APPLIED PHYSICS, 1989, 66 (06) :2511-2524
[7]   SELF-SIMILARITY AS A FUNDAMENTAL FEATURE OF THE REGRESSION OF FLUCTUATIONS [J].
DISSADO, LA ;
HILL, RM .
CHEMICAL PHYSICS, 1987, 111 (02) :193-207
[8]   CONSTANT-PHASE-ANGLE AND POWER-LAW REGIMES IN THE FREQUENCY-RESPONSE OF A GENERAL DETERMINATE FRACTAL CIRCUIT [J].
DISSADO, LA ;
HILL, RM .
PHYSICAL REVIEW B, 1988, 37 (07) :3434-3439
[9]   A FRACTAL INTERPRETATION OF THE DIELECTRIC RESPONSE OF ANIMAL-TISSUES [J].
DISSADO, LA .
PHYSICS IN MEDICINE AND BIOLOGY, 1990, 35 (11) :1487-1503
[10]  
DISSADO LA, 1985, ADV CHEM PHYSICS, V63