Dynamical behaviour of low autocorrelation models

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Abstract
We have investigated the nature of the dynamical behaviour in low autocorrelation binary sequences. These models do have a glass transition TG of a purely dynamical nature. Above the glass transition the dynamics are not fully ergodic and relaxation times diverge like a power law tau approximately (T-TG)- gamma with gamma close to 2. Approaching the glass transition the relaxation slows down, in agreement with the first-order nature of the dynamical transition. Below the glass transition the system exhibits aging phenomena, as in disordered spin glasses. We propose the aging phenomena as a precise method to determine the glass transition and its first-order nature.
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