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The network topology of a potential energy landscape:A static scale-free networkJonathan P. K. DoyePhys. Rev. Lett. 88, 238701 (2002)AbstractHere we analyze the topology of the network formed by the minima and transition states on the potential energy landscape of small clusters. We find that this network has both a small-world and scale-free character. In contrast to other scale-free networks, where the topology results from the dynamics of the network growth, the potential energy landscape is a static entity. Therefore, a fundamentally different organizing principle underlies this behaviour: The potential energy landscape is highly heterogeneous with the low-energy minima having large basins of attraction and acting as the highly-connected hubs in the network.The full paper is available from PRL Online and the Los Alamos preprint server (and mirrors: UK , France, Germany) The networks described in this paper are available here |