Glassy relaxation in hierarchically frustrated Josephson arrays

Shenoy, Subodh R. (1988) Glassy relaxation in hierarchically frustrated Josephson arrays Physica B: Condensed Matter, 152 (1-2). pp. 72-84. ISSN 0921-4526

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Josephson arrays with hierarchical patterns of frustration may provide a physical prototype for glasses. Flux/disorder patterns {fI} with fI=±f, ∑IfI=0 that have a self-similar character on coarse-graining, can be con structed iteratively, composed of quasi-neutral clusters. A nonequilibrium population of topological excitations {mI=±1}, ∑ImI=0, trapped on such a hierarchical background, should annihilate sequentially ~t−T/Ta due to the hierarchy of time scales. (Here T/Ta is a scaled temperature.) Arrays with a hierarchical pattern of flux penetration areas/intergrain couplings could show glassy behaviour, on rapid cooling or rapid reduction of magnetic fields H. This might be relevant for understanding magnetic moment relaxation M(t)~-H3Tln t seen in high-Tc glassy superconductors.

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Deposited On:30 Jun 2011 09:57
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