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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3336
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dc.contributor.authorKumar, N.-
dc.date.accessioned2007-10-04T10:30:43Z-
dc.date.available2007-10-04T10:30:43Z-
dc.date.issued2007-08-10-
dc.identifier.citationCurrent Science, 2007, Vol.93, p357-359.en
dc.identifier.issn0011-3891-
dc.identifier.urihttp://hdl.handle.net/2289/3336-
dc.descriptionOpen Accessen
dc.description.abstractThe elementary two-terminal network consisting of a resistively (R) shunted inductance (L) in series with a capacitatively (C) shunted resistance (R) with R= L/C, is known for its non-dispersive dissipative response, i.e. with the input impedance Z0(w) = R, independent of the frequency (w). In this communication, we examine the properties of a novel equivalent network derived iteratively from this two-terminal network by replacing everywhere the elemental resistive part R with the whole two-terminal network. This replacement suggests a recursion Zn+1(w) = f(Zn(w)), with the recursive function f (z) = (iw Lz/iw L + z) + (z/1 + iw Cz). This recursive map has two fixed points – an unstable fixed point Z*u = 0, and a stable fixed point Z*s = R. Thus, resistances at the boundary terminating the infinitely iterated network can now be made arbitrarily small without changing the input impedance Z¥ (= R). This, therefore, leads to realizing in the limit n ® ¥, an effectively dissipative network comprising essentially the non-dissipative reactive elements (L and C) only. Hence the oxymoron–resistance without resistance! This is best viewed as a classical anomaly akin to the one encountered in turbulence. Possible application as a formal decoherence device – the fake channel – is briefly discussed for its quantum analogue.en
dc.format.extent1560373 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoenen
dc.publisherIndian Academy of Sciencesen
dc.relation.urihttp://www.ias.ac.in/currsci/aug102007/357.pdfen
dc.rights2007 The Indian Academy of Sciencesen
dc.subjectClassical anomalyen
dc.subjectDissipationen
dc.subjectDisorderen
dc.subjectFake channelsen
dc.subjectFixed pointen
dc.subjectIterationen
dc.subjectLocalizationen
dc.titleResistance without resistance: An anomalyen
dc.typeArticleen
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