科研之友
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摘要
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 sigma, 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 tau as a function of the number of spins N (Namely ln(tau) proportional to N-psi) give values of psi that are not stable against inclusion of subleading corrections. Critical scaling (tau proportional to N-rho) 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.
- 出版日期2015-7
- 单位中国地震局
