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Topology of energy landscape network in spin-glasses: Painting energy landscapes

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

We study the network topology of the energy landscape in a spin-glass model, both analytically and numerically. We construct the network of adjacent minima and then, we show that this network has a log-normal degree distribution which is a consequence of the normal distribution of energy minima in spin-glasses. To perform our study we use a 2D square lattice spin-glasses with nearest neighbor interaction up to the size of 27 spins. The size of the system lets us to enumerate all of its possible configurations. A mean field approximation also supports our numerical results.

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