Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-11-25
Physics
Condensed Matter
Disordered Systems and Neural Networks
LaTeX, 29 pages, 10 figures
Scientific paper
We study the transport and localization properties of scalar vibrations on a lattice with random bond strength by means of the transfer matrix method. This model has been recently suggested as a means to investigate the vibrations and heat conduction properties of structural glasses. In three dimensions we find a very rich phase diagram. The delocalization transition is split, so that between the localized and diffusive phases which have been identified in the Anderson problem, we observe a phase with anomalous, sub-exponential localization. For low frequencies, we find a strongly conducting phase with ballistic and super-diffusive transport, reflecting a diverging diffusivity. The last phase generates an anomalous heat conductivity which grows with the system size. These phases are the counterparts of those identified in an earlier study of the normal modes.
Gat Omri
Olami Zeev
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