Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-02-09
Phys. Rev. Lett. 97, 095702 (2006)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 2 figures
Scientific paper
10.1103/PhysRevLett.97.095702
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 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.
Mayer Peter
Miyazaki Kunimasa
Reichman David R.
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