# Realization of 1D Classic Heisenberg Spin-Glass System on GPU

## Abstract

New high performance parallel algorithm for simulation of 1D classic Heisenberg spin-glass system is developed. The realization is done on Graphics Processing Units (GPU). Numerical simulations of the classic Heisenberg spin glass model show that this is a good example of applications that may benefit of the GPU computing capabilities. GPU performance time and memory statistics are presented.

## References

A.P. Young (ed.), Spin Glasses and Random Fields, World Scientific, Singapore, 1998.

R. Fisch and A.B. Harris, “Spin-glass model in continuous dimensionality", Phys. Rev. Let., 47, p. 620, 1981.

A.S. Gevorkyan et al., “New mathematical conception and computation algorithm for study of quantum 3D disordered spin system under the influence of external field", Trans. On Comput. Sci., VII, LNCS, pp. 132-153, Spinger-Verlage, 10.1007/978-3-642-11389-58.

A.S. Gevorkyan, H.G. Abajyan and H.S. Sukiasyan. ArXiv: cond-mat.dis-nn1010.1623v1.

NVIDIA CUDA, C Programming Guide, version 3.2, 2010.

NVIDIA Compute Visual Profiler User Guide, 2010.

L. Nyland, M. Harris, J.Prins, “Fast N-body simulation with CUDA, in: GPU Gems 3", Addison-Wesley Professional, Ch. 31, pp. 677695, 2007.

J.D. Owens, D. Luebke, N. Govindaraju, M. Harris, J. Krüger, A. Lefohn, T.J. Purcell, “A survey of general-purpose computation on graphics hardware", Computer Graphics Forum, vol. 26, Issue 1, pp. 80113, 2007.

D. Yuen, J. Wang, L. Johnsson, C.H. Chi, Y. Shi (Eds.), GPU solutions to multi-scale problems in science and engineering, Springer, 1st Edition, 2011.

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## How to Cite

*Mathematical Problems of Computer Science*,

*35*, 46–52. Retrieved from http://mpcs.sci.am/index.php/mpcs/article/view/285

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