Finite-size scaling and the three-dimensional Ising model
- 1 June 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 33 (11) , 7841-7844
- https://doi.org/10.1103/physrevb.33.7841
Abstract
We give results of an extensive finite-size-scaling analysis of the three-dimensional Ising model on lattices of size up to . Contrary to the results of Barber et al. [Phys. Rev. B 32, 1720 (1720)], our data show a smooth approach to the thermodynamic limit for all the lattice sizes we studied. We estimate from our data that . We also describe a method to implement the Metropolis algorithm using only logical commands. Our program currently achieves a speed of one spin update approximately every 11 nsec (93 million updates per second) on a 2-pipe CDC CYBER 205.
Keywords
This publication has 17 references indexed in Scilit:
- Finite-size scaling in the three-dimensional Ising modelPhysical Review B, 1985
- Effects of the random number generator on computer simulationsPhysics Letters B, 1985
- A new multispin coding algorithm for Monte Carlo simulation of the Ising modelJournal of Statistical Physics, 1984
- Monte Carlo simulation of Ising models by multispin coding on a vector computerJournal of Statistical Physics, 1984
- Monte Carlo renormalization-group calculations of critical behavior in the simple-cubic Ising modelPhysical Review B, 1984
- Applications of the Monte Carlo Method in Statistical PhysicsPublished by Springer Nature ,1984
- A fast processor for Monte-Carlo simulationJournal of Computational Physics, 1983
- Multi-spin coding: A very efficient technique for Monte Carlo simulations of spin systemsJournal of Computational Physics, 1981
- Test of the Monte Carlo Method: Fast Simulation of a Small Ising LatticeThe Journal of Chemical Physics, 1970
- Equation of State Calculations by Fast Computing MachinesThe Journal of Chemical Physics, 1953