FPGA Hardware Acceleration of Monte Carlo Simulations for the Ising Model
Abstract
A two-dimensional Ising model with nearest-neighbors ferromagnetic interactions is implemented in a Field Programmable Gate Array (FPGA) board.Extensive Monte Carlo simulations were carried out using an efficient hardware representation of individual spins and a combined global-local LFSR random number generator. Consistent results regarding the descriptive properties of magnetic systems, like energy, magnetization and susceptibility are obtained while a speed-up factor of approximately 6 times is achieved in comparison to previous FPGA-based published works and almost times in comparison to a standard CPU simulation. A detailed description of the logic design used is given together with a careful analysis of the quality of the random number generator used. The obtained results confirm the potential of FPGAs for analyzing the statistical mechanics of magnetic systems.
Keywords
Cite
@article{arxiv.1602.03016,
title = {FPGA Hardware Acceleration of Monte Carlo Simulations for the Ising Model},
author = {Francisco Ortega-Zamorano and Marcelo A. Montemurro and Sergio A. Cannas and José M. Jerez and Leonardo Franco},
journal= {arXiv preprint arXiv:1602.03016},
year = {2016}
}
Comments
19 pages, 10 figures