Numerical studies of a one-dimensional 3-spin spin-glass model with long-range interactions - Condensed Matter > Disordered Systems and Neural NetworksReport as inadecuate




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Abstract: We study a p-spin spin-glass model to understand if the finite-temperatureglass transition found in the mean-field regime of p-spin models, and used tomodel the behavior of structural glasses, persists in the non-mean-fieldregime. By using a 3-spin spin-glass model with long-range power-law dilutedinteractions we are able to continuously tune the effective space dimensionvia the exponent of the interactions. Monte Carlo simulations of the spin-glasssusceptibility and the two-point finite-size correlation length show that deepin the non-mean-field regime the finite-temperature transition is lost, whereasthis is not the case in the mean-field regime, in agreement with the predictionof Moore and Drossel Phys. Rev. Lett. 89, 217202 2002 that 3-spin modelsare in the same universality class as an Ising spin glass in a magnetic field.However, slightly in the non-mean-field region, we find an apparent transitionin the 3-spin model, in contrast to results for the Ising spin glass in afield. This may indicate that even larger sizes are needed to probe theasymptotic behavior in this region.



Author: Derek Larson, Helmut G. Katzgraber, M. A. Moore, A. P. Young

Source: https://arxiv.org/







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