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α-relaxation near the glass transition L. Sjörgenc, a and W. Götzec, b a Institute of Theoretical Physics, Chalmers University of Technology, S-412 96, Göteborg, Sweden b Department of Physics, Technische Universität München, W-8046, Garching, Germany c Max-Planck-Institut für Physik und Astrophysik, W-800, Munich, Germany Available online 12 May 2003. This article is not included in your organization's subscription. However, you may be able to access this article under your organization's agreement with Elsevier. Abstract The general mode-coupling equations with activated processes included are analysed in the -relaxation region. This region is intimately connected with the β-relaxation region, where dynamics is completely ruled by generic properties of various bifurcation singularities inherent in the nonlinear equations of motion. In particular the von Schweidler relaxation, which describes the overlap region between the - and β-processes, plays a central role for the properties of the -relaxation function. This satisfies the time-temperature superposition principle with a master function which is well described by a Kohlrausch law. The -relaxation scale is proportional to the macroscopic viscosity, and for the temperature dependence one finds an algebraic increase above a critical temperature Tc, i.e. η∝(T−Tc)−γ. For lower temperatures, there is eventually a crossover to an Arrhenius law η∝ exp(E/kBT). |
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