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Glass transition and random walks on complex energy landscapes

Baronchelli, A., Barrat, A. and Pastor-Satorras, R. (2009). Glass transition and random walks on complex energy landscapes. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(2), doi: 10.1103/PhysRevE.80.020102

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.

Publication Type: Article
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/2657
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