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Glass transition and random walks on complex energy landscapes

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Journal 19 Aug 2009Embargo end date: 01 Jan 2009 France, Spain, United Kingdom, United Kingdom Publisher:American Physical Society (APS)Journal:Physical Review E, volume 80 (issn: 1539-3755, eissn: 1550-2376,

Authors: Baronchelli, Andrea; Barrat, Alain; Pastor Satorras, Romualdo;

doi: 10.1103/physreve.80.020102 , 10.48550/arxiv.0905.0137

pmid: 19792062

arXiv: 0905.0137 , http://arxiv.org/abs/0905.0137

handle: 2117/125835

Glass transition and random walks on complex energy landscapes

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Abstract

We present a simple mathematical model of glassy dynamics seen as a random walk in a directed, weighted network of minima taken as a representation of the energy landscape. Our approach gives a broader perspective to previous studies focusing on particular examples of energy landscapes obtained by sampling energy minima and saddles of small systems. We point out how the relation between the energies of the minima and their number of neighbors should be studied in connection with the network's global topology, and show how the tools developed in complex network theory can be put to use in this context.

Countries

France, Spain, United Kingdom, United Kingdom

Related Organizations

Universitat Polite`cnica de Catalunya
Spain
Institute for Scientific Interchange
Italy
Center of Theoretical Physics
France
Center of Theoretical Physics
France
AMERICAN PHYSICAL SOCIETY

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Keywords

Vidre, Energy landscape, :Física [Àrees temàtiques de la UPC], Statistical Mechanics (cond-mat.stat-mech), Àrees temàtiques de la UPC::Física, FOS: Physical sciences, Random walk, [PHYS.COND.CM-SM] Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], [ PHYS.COND.CM-SM ] Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], Glass transition temperature, [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], Glassy dynamics, QC, Condensed Matter - Statistical Mechanics, [PHYS.COND.CM-SM] Physics/Condensed Matter/Statistical Mechanics

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	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%