Real-space analysis of inherent structuresE. Bertin
Department of Theoretical Physics, University of Geneva CH-1211 Geneva 4, Switzerland and SPEC, CEA Saclay - F-91191 Gif-sur-Yvette Cedex, France
received 26 October 2004; accepted in final form 8 June 2005
published online 13 July 2005
We study a generalization of the one-dimensional disordered Potts model, which exhibits glassy properties at low temperature. The real-space properties of inherent structures visited dynamically are analyzed through a decomposition into domains over which the energy is minimized. The size of these domains is distributed exponentially, defining a characteristic length scale which grows in equilibrium when lowering temperature, as well as in the aging regime at a given temperature. In the low-temperature limit, this length can be interpreted as the distance between "excited" domains within the inherent structures.
75.10.Nr - Spin-glass and other random models.
02.50-r - Probability theory, stochastic processes, and statistics.
64.70.Pf - Glass transitions.
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