Global perspectives on the energy landscapes of liquids, supercooled liquids, and glassy systems: Geodesic pathways through the potential energy landscape - Condensed Matter > Soft Condensed MatterReport as inadecuate




Global perspectives on the energy landscapes of liquids, supercooled liquids, and glassy systems: Geodesic pathways through the potential energy landscape - Condensed Matter > Soft Condensed Matter - Download this document for free, or read online. Document in PDF available to download.

Abstract: How useful it is to think about the potential energy landscape of a complexmany-body system depends in large measure on how direct the connection is tothe system-s dynamics. In this paper we show that, within what we call thepotential energy landscape ensemble, it is possible to make direct connectionsbetween the geometry of the landscape and the long-time dynamical behaviors ofsystems such as supercooled liquids. We show, in particular, that the onset ofslow dynamics in such systems is governed directly by the lengths of theirgeodesics - the shortest paths through their landscapes within the specialensemble. The more convoluted and labyrinthine these geodesics are, the slowerthat dynamics is. Geodesics in the landscape ensemble have sufficientlywell-defined characteristics that is straightforward to search for themnumerically, a point we illustrate by computing the geodesic lengths for anordinary atomic liquid and a binary glass-forming atomic mixture. We find thatthe temperature dependence of the diffusion constants of these systems,including the precipitous drop as the glass-forming system approaches itsmode-coupling transition, is predicted quantitatively by the growth of thegeodesic path lengths.



Author: Chengju Wang, Richard M. Stratt

Source: https://arxiv.org/



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