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Cooperativity Beyond Caging: Generalized Mode Coupling Theory | | Peter Mayer
; Kunimasa Miyazaki
; David R. Reichman
; | | Date: |
9 Feb 2006 | | Abstract: | The 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 deliver a coherent picture for the capabilities as well as limitations of MCT. Moreover, including higher order correlations systematically defers the transition and ultimately yields an ergodic solution. Power-law divergence of the relaxation time is then replaced by continuous but exponential growth. | | Source: | arXiv, cond-mat/0602248 | | Services: | Forum | Review | PDF | Favorites | |
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