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Invariant behaviour classes for the response of simple fractal circuits

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Published under licence by IOP Publishing Ltd
, , Citation R M Hill et al 1991 J. Phys.: Condens. Matter 3 9773 DOI 10.1088/0953-8984/3/48/019

0953-8984/3/48/9773

Abstract

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.

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10.1088/0953-8984/3/48/019