Abstract
Critical dynamics in two-dimension Ising lattices up to is simulated on field-programmable-gate-array- based computing devices. Linear relaxation times are measured from extremely long Monte Carlo simulations. The longest simulation has spin updates, which would take over 37 years to simulate on a general purpose computer. The linear relaxation time of the Ising lattices is found to follow the dynamic scaling law for correlation lengths as long as 2048. The dynamic exponent of the system is found to be 2.179(12), which is consistent with previous studies of Ising lattices with shorter correlation lengths. It is also found that Monte Carlo simulations of critical dynamics in Ising lattices larger than are very sensitive to the statistical correlations between pseudorandom numbers, making it even more difficult to study such large systems.
- Received 19 December 2014
- Revised 10 November 2015
- Corrected 19 January 2018
DOI:https://doi.org/10.1103/PhysRevE.93.022113
©2016 American Physical Society
Physics Subject Headings (PhySH)
Corrections
19 January 2018