Cooperativity Beyond Caging: Generalized Mode Coupling Theory

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dc.creatorMayer, Peter
dc.creatorMiyazaki, Kunimasa
dc.creatorReichman, David R.
dc.date2006-02-09
dc.date2006-08-17
dc.date.accessioned2026-07-07T07:01:38Z
dc.date.available2026-07-07T07:01:38Z
dc.descriptionThe validity of mode coupling theory (MCT) is restricted by an uncontrolled factorization approximation of density correlations. The factorization can be delayed and ultimately avoided, however, by explicitly including higher order correlations. We explore this approach within a microscopically motivated schematic model. Analytic tractability allows us to discuss in great detail the impact of factorization at arbitrary order, including the limit of avoided factorization. Our results indicate a coherent picture for the capabilities as well as limitations of MCT. Moreover, including higher order correlations systematically defers the transition and ultimately restores ergodicity. Power-law divergence of the relaxation time is then replaced by continuous but exponential growth.
dc.description4 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0602248
dc.identifierhttp://arxiv.org/abs/cond-mat/0602248
dc.identifierPhys. Rev. Lett. 97, 095702 (2006)
dc.identifierdoi:10.1103/PhysRevLett.97.095702
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108335
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.subjectSoft Condensed Matter
dc.titleCooperativity Beyond Caging: Generalized Mode Coupling Theory
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