Potential energy topology and relaxation processes in a model glass

We use computer simulation to investigate the topology of the potential energy $V({{bf R}})$ and to search for doublewell potentials (DWP) in a model glass . By a sequence of Newtonian and dissipative dynamics we find different minima of $V({{bf R}})$ and the energy profile along the least action paths joining them. At variance with previous suggestions, we find that the parameters describing the DWPs are correlated among each others. Moreover, the trajectory of the system in the 3$N$-d configurational phase space follows a quasi-1-d manifold. The motion parallel to the path is characterized by jumps between minima, and is nearly uncorrelated from the orthogonal, harmonic, dynamics.