Numerical Simulations of Spin Glass Systems

Multi-overlap simulations of free-energy barriers in the 3D Edwards–Anderson Ising spin glass

We report large-scale simulations of the three-dimensional Edwards–Anderson Ising spin-glass model using the multi-overlap Monte Carlo algorithm. We present our results in the spin-glass phase on free-energy barriers and the non-trivial finite-size scaling behavior of the Parisi order-parameter distribution.  1999 Elsevier Science B.V. All rights reserved. Spin-glass systems [1] are simple mod...

Crossovers in the two-dimensional Ising spin glass with ferromagnetic next-nearest-neighbour interactions

By means of extensive computer simulations we analyse in detail the twodimensional ±J Ising spin glass with ferromagnetic next-nearest-neighbour interactions. We found a crossover from ferromagnetic to ‘spin glass’-like order both from numerical simulations and analytical arguments. We also present proof of a second crossover from the ‘spin glass’ behaviour to a paramagnetic phase for the large...

Two Dimensional Ising Spin Glass with ferromagnetic next-nearest-neighbor interactions

By means of extensive computer simulations we analyze in detail the two dimensional ±J Ising spin glass with ferromagnetic next-nearest-neighbor interactions. We found a crossover from ferromagnetic to “spin glass” like order both from numerical simulations and analytical arguments. We also present evidences of a second crossover from the “spin glass” behavior to a paramagnetic phase for the la...

Numerical Simulations Of Spin Glass Systems

ar X iv : c on d - m at / 9 30 30 26 v 1 1 3 M ar 1 99 3 Multicanonical Simulation of the van Hemmen Spin Glass ∗

We studied the performance of the multicanonical algorithm by simulating the van Hemmen spin glass model and reproduced the exact results for this mean field model. Physical quantities such as energy density, specific heat, susceptibility and order parameters are evaluated at all temperatures. One of the recent and promising developments in computational physics is the use of the multicanonical...