DYNAMICAL BEHAVIOR OF LOW AUTOCORRELATION MODELS

We have investigated the nature of the dynamical behaviour in low auto correlation binary sequences. These models do have a glass transition T-G of a purely dynamical nature. Above the glass transition the dynam ics are not fully ergodic and relaxation times diverge like a power la w tau similar to (T - T-G)(-y) with y close to 2. Approaching the glas s transition the relaxation slows down, in agreement with the first-or der nature of the dynamical transition. Below the glass transition the system exhibits aging phenomena, as in disordered spin glasses. We pr opose the aging phenomena as a precise method to determine the glass t ransition and its first-order nature.