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We analyze through molecular dynamics simulations of a Lennard-Jones binarymixture the statistics of the distances between inherent structures (IS)sampled at temperatures above the mode coupling transition temperature T_MCT.We take equilibrated configurations and randomly perturb the coordinates of agiven number of particles. After that we take the nearest IS of both theoriginal configuration and the perturbed one and evaluate the distance betweenthem. This distance presents an inflection point near T~1 with a strongdecrease below this temperature and goes to a small but nonzero value onapproaching T_MCT. In the low temperature region we study the statistics ofevents which give zero distance, i.e. dominated by minima, and find evidencethat the number of saddles decreases exponentially near T_MCT. This impliesthat saddles continue to exist even for T<=T_MCT. As at T_MCT the extrapolateddiffusivity goes to zero our results imply that there are saddles associatedwith nondiffusional events at T<T_MCT.Comment: 5 pages, 5 ps figure

Distance between inherent structures and the influence of saddles on approaching the mode coupling transition in a simple glass former