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Direct Observation of Stretched-Exponential Relaxation in Low-Temperature Lennard-Jones Systems Using the Cage Correlation Function

by: Eran Rabani, Daniel J Gezelter, BJ Berne
Physical Review Letters, Vol. 82, No. 18. (3 May 1999), 3649.


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We report on the direct observation of stretched exponential relaxation in low-temperature monatomic Lennard-Jones systems which were cooled slowly from the liquid phase to form crystals with a large number of defects. We use the cage correlation function [E. Rabani; J. D. Gezelter; and B. J. Berne; J. Chem. Phys. 107 ; 6867 (1997)] which measures changes in atomic surroundings to observe the stretched exponential relaxations. We obtain a distribution of hopping rates assuming that the origin of the Kohlrausch-Williams-Watts law is from static disorder in the distribution of barrier heights.


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