Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-06-23
Physics
Condensed Matter
Statistical Mechanics
4 pages, 5 figures
Scientific paper
10.1103/PhysRevE.79.031501
The Shintani-Tanaka model is a glass-forming system whose constituents interact via anisotropic potential depending on the angle of a unit vector carried by each particle. The decay of time-correlation functions of the unit vectors exhibits the characteristics of generic relaxation functions during glass transitions. In particular it exhibits a 'stretched exponential' form, with the stretching index beta depending strongly on the temperature. We construct a quantitative theory of this correlation function by analyzing all the physical processes that contribute to it, separating a rotational from a translational decay channel. Interestingly, the separate decay function of each of these processes is temperature independent. Taken together with temperature-dependent weights determined a-priori by statistical mechanics one generates the observed correlation function in quantitative agreement with simulations at different temperatures. This underlines the danger of concluding anything about glassy relaxation functions without detailed physical scrutiny.
Lerner Edan
Procaccia Itamar
Regev Ido
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