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We study the relation of the potential energy landscape (PEL) topography torelaxation dynamics of a small model glass former of Lennard-Jones type. Themechanism under investigation is the hopping betweem superstructures of PELmimima, called metabasins (MB). From the mean durations $\tauphi$ of visits toMBs, we derive effective depths of these objects by the relation$\Eapp=\d\ln\tauphi/\d\beta$, where $\beta=1/\kB T$. Since the apparentactivation energies $\Eapp$ are of purely dynamical origin, we look for aquantitative relation to PEL structure. A consequence of the rugged nature ofMBs is that escapes from MBs are not single hops between PEL minima, butcomplicated multi-minima sequences. We introduce the concept of returnprobabilities to the bottom of MBs in order to judge whether the attractionrange of a MB was left. We then compute the energy barriers that weresurmounted. These turn out to be in good agreement with the effective depths$\Eapp$, calculated from dynamics. Barriers are identified with the help of anew method, which accurately performs a descent along the ridge between twominima. A comparison to another method is given. We analyze the population oftransition regions between minima, called basin borders. No indication for themechanism of diffusion to change around the mode-coupling transition can befound. We discuss the question whether the one-dimensional reaction pathsconnecting two minima are relevant for the calculation of reaction rates at thetemperatures under study.Comment: 17 pages, 16 figure

Energy barriers and activated dynamics in a supercooled Lennard-Jones liquid