Parallel implementation of the Heisenberg model using Monte Carlo on GPGPU

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 6784 LNCS, Issue PART 3, 2011, Pages 654-667

  Campos, Alessandra M ^a   Peçanha, João Paulo ^a   Pampanelli, Patrícia ^a   De Almeida, Rafael B ^a   Lobosco, Marcelo ^a   Vieira, Marcelo B ^a   De O Dantas, Sócrates ^a  

^a FEDERAL UNIVERSITY OF JUIZ DE FORA   (Brazil)

Author keywords

Computational Physics; Heisenberg Model; High Performance Computing; Many core Programming; Performance Evaluation

Indexed keywords

COMPUTATIONAL PHYSICS; HEISENBERG MODELS; HIGH PERFORMANCE COMPUTING; MANY-CORE PROGRAMMING; PERFORMANCE EVALUATION;

COMPUTER SOFTWARE SELECTION AND EVALUATION; MAGNETIC PROPERTIES; PROGRAM PROCESSORS; SIMULATORS;

THREE DIMENSIONAL;

EID: 79960331350     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-21931-3_50     Document Type: Conference Paper

References (18)

1. Heisenberg, W.: J. Phys. 49, 619 (1928)
2. Peçanha, J., Campos, A., Pampanelli, P., Lobosco, M., Vieira, M., Dantas, S.: Um modelo computacional para simulação de interação de spins em elementos e compostos magnéticos. XI Encontro de Modelagem Computacional (2008)
3. Blelloch, G., Narlikar, G.: A practical comparison of n-body algorithms. In: Parallel Algorithms. Series in Discrete Mathematics and Theoretical Computer Science. American Mathematical Society, Providence (1997)
4. Preis, T., Virnau, P., Paul, W., Schneider, J.J.: Gpu accelerated monte carlo simulation of the 2d and 3d ising model. Journal of Computational Physics 228(12), 4468-4477 (2009)
5. Ising, E.: Beitrag zur Theorie der Ferromagnetismus. Z. Physik 31, 253-258 (1925)
6. Konstantinova, E.: Theoretical simulations of magnetic nanotubes using monte carlo method. Journal of Magnetism and Magnetic Materials 320(21), 2721-2729 (2008)
7. NVIDIA: Nvidia cuda programming guide. Technical report, NVIDIA Corporation (2007)
8. Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.H., Teller, E.: Equation of state calculations by fast computing machines. Journal of Chemical Physics 21, 1087-1092 (1953)
9. Matsumoto, M., Nishimura, T.: Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator. ACM Trans. Model. Comput. Simul. 8(1), 3-30 (1998)
10. Nyland, L., Harris, M., Prins, J.: Fast n-body simulation with cuda. In: Nguyen, H. (ed.) GPU Gems 3. Addison Wesley Professional, Reading (August 2007)
11. Swendsen, R.H., Wang, J.S.: Nonuniversal critical dynamics in monte carlo simulations. Physical Review Letters 58(2), 86+ (1987)
12. Fukui, K., Todo, S.: Order-n cluster monte carlo method for spin systems with long-range interactions. Journal of Computational Physics 228(7), 2629-2642 (2009)
13. Santos, E.E., Rickman, J.M., Muthukrishnan, G., Feng, S.: Efficient algorithms for parallelizing monte carlo simulations for 2d ising spin models. J. Supercomput. 44(3), 274-290 (2008)
14. Harada, T., Tanaka, M., Koshizuka, S., Kawaguchi, Y.: Real-time particle-based simulation on gpus. In: SIGGRAPH 2007: ACM SIGGRAPH 2007 posters, p. 52. ACM, New York (2007)
15. Kipfer, P., Segal, M., Westermann, R.: Uberflow: a gpu-based particle engine. In: HWWS 2004: Proceedings of the ACM SIGGRAPH/EUROGRAPHICS Conference on Graphics Hardware, pp. 115-122. ACM Press, New York (2004)
16. Yang, J., Wang, Y., Chen, Y.: Gpu accelerated molecular dynamics simulation of thermal conductivities. J. Comput. Phys. 221(2), 799-804 (2007)
17. Georgii, J., Echtler, F., Westermann, R.: Interactive simulation of deformable bodies on gpus. In: Proceedings of Simulation and Visualisation 2005, pp. 247-258 (2005)
18. Tomov, S., McGuigan, M., Bennett, R., Smith, G., Spiletic, J.: Benchmarking and implementation of probability-based simulations on programmable graphics cards. Computers and Graphics 29(1), 71-80 (2005)