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Nonlinear response functions in an exponential trap model

G. Diezemann

Published 2014 in Journal of Non-crystalline Solids

ABSTRACT

Abstract The nonlinear response to an oscillating field is calculated for a kinetic trap model with an exponential density of states above the glass transition temperature T 0 . For temperatures not too close to T 0 , the results are similar to those obtained for the model with a Gaussian density of states. The choice of the dynamical variable that couples to the field and in particular its dependence on the trap energies generally has a strong impact on the shape of the dynamic response. The modulus of the frequency dependent third-order response either shows a peak or exhibits a monotonous decay from a finite low-frequency limit to a vanishing response at high frequencies depending on the dynamical variable. If a peak is observed, its height can show different temperature dependencies with the common feature of a scaling behavior near T 0 . Additionally, in some but not all cases the static nonlinear susceptibility diverges at T 0 . A recently proposed approximation that relates the cubic response to a four-time correlation function does not give reliable results due to a wrong estimate of the low-frequency limit of the response.

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