q-state Potts model metastability study using optimized GPU-based Monte Carlo algorithms

@article{Ferrero2012qstatePM,
  title={q-state Potts model metastability study using optimized GPU-based Monte Carlo algorithms},
  author={Ezequiel Ferrero and Juan Pablo De Francesco and Nicol{\'a}s Wolovick and Sergio A. Cannas},
  journal={Comput. Phys. Commun.},
  year={2012},
  volume={183},
  pages={1578-1587}
}

Figures and Tables from this paper

Highly optimized simulations on single- and multi-GPU systems of the 3D Ising spin glass model

GPU accelerated population annealing algorithm

Adaptive multi-GPU Exchange Monte Carlo for the 3D Random Field Ising Model

FPGA Hardware Acceleration of Monte Carlo Simulations for the Ising Model

TLDR
A two-dimensional Ising model with nearest-neighbors ferromagnetic interactions is implemented in a Field Programmable Gate Array (FPGA) board and consistent results regarding the descriptive properties of magnetic systems are obtained.

How many phases nucleate in the bidimensional Potts model?

We study the kinetics of the two-dimensional q > 4-state Potts model after a shallow quench to a temperature slightly below the critical one and above the pseudo spinodal. We use numerical methods

Low-temperature universal dynamics of the bidimensional Potts model in the large q limit

We study the low temperature quench dynamics of the two-dimensional Potts model in the limit of a large number of states, q ≫ 1. We identify a q-independent crossover temperature (the pseudo

Monte Carlo methods for massively parallel computers

TLDR
The opportunities and challenges of massively parallel computing for Monte Carlo simulations in statistical physics, with a focus on the simulation of systems exhibiting phase transitions and critical phenomena, are outlined.

Performance analysis and comparison of cellular automata GPU implementations

TLDR
A CA implementation is presented which performs well in five different NVIDIA GPU architectures, from Tesla to Maxwell, simulating systems with up to a billion cells, showing how the architectures improved for this particular problem.

Bit-Packed Damaged Lattice Potts Model Simulations with CUDA and GPUs

TLDR
The damaged Potts system on large two dimensional and three dimensional lattices is simulated using General Purpose Graphical Processing Units (GPGPU) which are well suited to the intrinsic data parallelism of such models.

References

SHOWING 1-10 OF 69 REFERENCES

The Heisenberg spin glass model on GPU: myths and actual facts

TLDR
The results show that the fast shared memory gives better performance with respect to the slow global memory only if a multi-hit technique is used in the 3D Heisenberg spinglass model.

Coarsening in the q-state Potts model and the Ising model with globally conserved magnetization.

  • SireMajumdar
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1995
TLDR
A Gaussian closure approximation is introduced and within this approximation the scaling functions and the exponent �(q) are calculated, in good agreement with the direct numerical simulations of the Potts model as well as the kinetic Ising model with fixed magnetization.

Dynamic metastability in the two-dimensional Potts ferromagnet.

TLDR
The nonequilibrium dynamics of the two-dimensional (2D) Potts model on the square lattice after a quench below the discontinuous transition point is investigated and results obtained dynamically agree with those obtained from the analytical continuation of the free energy.

MONTE CARLO SIMULATION OF NUCLEATION IN THE TWO-DIMENSIONAL POTTS MODEL

Nucleation in the two-dimensional q-state Potts model has been studied by means of Monte Carlo simulations using the heat-bath dynamics. The initial metastable state has been prepared by magnetic

Curvature-driven coarsening in the two-dimensional Potts model.

TLDR
The memory of the presence or absence of long-range correlations in the initial state during the coarsening regime is demonstrated and polymixtures exhibit superuniversality properties.
...