Exploring the origins of the power-law properties of energy landscapes: An egg-box model

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dc.creatorMassen, Claire P.
dc.creatorDoye, Jonathan P. K.
dc.creatorNash, Rupert W.
dc.date2006-12-08
dc.date.accessioned2026-07-07T08:11:36Z
dc.date.available2026-07-07T08:11:36Z
dc.descriptionMultidimensional potential energy landscapes (PELs) have a Gaussian distribution for the energies of the minima, but at the same time the distribution of the hyperareas for the basins of attraction surrounding the minima follows a power-law. To explore how both these features can simultaneously be true, we introduce an ``egg-box'' model. In these model landscapes, the Gaussian energy distribution is used as a starting point and we examine whether a power-law basin area distribution can arise as a natural consequence through the swallowing up of higher-energy minima by larger low-energy basins when the variance of this Gaussian is increased sufficiently. Although the basin area distribution is substantially broadened by this process,it is insufficient to generate power-laws, highlighting the role played by the inhomogeneous distribution of basins in configuration space for actual PELs.
dc.description7 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0612205
dc.identifierhttp://arxiv.org/abs/cond-mat/0612205
dc.identifierPhysica A 382, 683-692 (2007)
dc.identifierdoi:10.1016/j.physa.2007.04.054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132171
dc.subjectStatistical Mechanics
dc.titleExploring the origins of the power-law properties of energy landscapes: An egg-box model
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