Abstract
We propose damage spreading (DS) as a tool for investigating thetopological features related to the ruggedness of the free-energylandscape. We argue that DS measures the positiveness of the largestLyapunov exponent associated with the basins of attraction visited bythe system during its dynamical evolution. We discuss recent resultsobtained in the framework of mode-coupling theory and comment on possible extensions to the study of realistic glasses. Preliminary results arepresented for purely repulsive soft-sphere glasses.
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