The energy landscape networks of spin-glasses

Simple item page
dc.creatorSeyed-allaei, Hamid
dc.creatorSeyed-allaei, Hamed
dc.creatorEjtehadi, Mohammad Reza
dc.date2007-10-29
dc.date2008-03-12
dc.date.accessioned2026-07-07T09:26:04Z
dc.date.available2026-07-07T09:26:04Z
dc.descriptionWe have studied the topology of the energy landscape of a spin-glass model and the effect of frustration on it by looking at the connectivity and disconnectivity graphs of the inherent structure. The connectivity network shows the adjacency of energy minima whereas the disconnectivity network tells us about the heights of the energy barriers. Both graphs are constructed by the exact enumeration of a two-dimensional square lattice of a frustrated spin glass with nearest-neighbor interactions up to the size of 27 spins. The enumeration of the energy-landscape minima as well as the analytical mean-field approximation show that these minima have a Gaussian distribution, and the connectivity graph has a log-Weibull degree distribution of shape $κ=8.22$ and scale $λ=4.84$. To study the effect of frustration on these results, we introduce an unfrustrated spin-glass model and demonstrate that the degree distribution of its connectivity graph shows a power-law behavior with the -3.46 exponent, which is similar to the behavior of proteins and Lennard-Jones clusters in its power-law form.
dc.identifierhttps://arxiv.org/abs/0710.5403
dc.identifierhttp://arxiv.org/abs/0710.5403
dc.identifierPhys. Rev. E 77, 031105 (2008)
dc.identifierdoi:10.1103/PhysRevE.77.031105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156622
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleThe energy landscape networks of spin-glasses
dc.typetext

Files

Collections

arXiv