Skip to Main content Skip to Navigation
Journal articles

Numerical study of the dynamics of some long range spin glass models

Abstract : We present results of a Monte Carlo study of the equilibrium dynamics of the one dimensional long-range Ising spin glass model. By tuning a parameter σ, this model interpolates between the mean field Sherrington-Kirkpatrick model and a proxy of the finite dimensional Edward-Anderson model. Activated scaling fits for the behavior of the relaxation time τ as a function of the number of spins N (Namely ln(τ) ∝ N ψ) give values of ψ that are not stable against inclusion of subleading corrections. Critical scaling (τ ∝ N ρ) gives more stable fits, at least in the non mean field region. We also present results on the scaling of the time decay of the critical remanent magnetization of the Sherrington-Kirkpatrick model, a case where the simulation can be done with quite large systems and that shows the difficulties in obtaining precise values for dynamical exponents in spin glass models.
Complete list of metadata

https://hal-cea.archives-ouvertes.fr/cea-03197800
Contributor : Emmanuelle de Laborderie <>
Submitted on : Wednesday, April 14, 2021 - 11:16:07 AM
Last modification on : Monday, June 14, 2021 - 10:03:21 AM

File

1505.00676.pdf
Files produced by the author(s)

Identifiers

Citation

Alain Billoire. Numerical study of the dynamics of some long range spin glass models. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2015, 2015 (7), pp.P07027. ⟨10.1088/1742-5468/2015/07/P07027⟩. ⟨cea-03197800⟩

Share

Metrics

Record views

12

Files downloads

17