GPU-based single-cluster algorithm for the simulation of the Ising model

نویسندگان

  • Yukihiro Komura
  • Yutaka Okabe
چکیده

We present the GPU calculation with the common unified device architecture (CUDA) for the Wolff single-cluster algorithm of the Ising model. Proposing an algorithm for a quasi-block synchronization, we realize the Wolff single-cluster Monte Carlo simulation with CUDA. We perform parallel computations for the newly added spins in the growing cluster. As a result, the GPU calculation speed for the two-dimensional Ising model at the critical temperature with the linear size L = 4096 is 5.60 times as fast as the calculation speed on a current CPU core. For the three-dimensional Ising model with the linear size L = 256, the GPU calculation speed is 7.90 times as fast as the CPU calculation speed. The idea of quasi-block synchronization can be used not only in the cluster algorithm but also in many fields where the synchronization of all threads is required. 2011 Elsevier Inc. All rights reserved.

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عنوان ژورنال:
  • J. Comput. Physics

دوره 231  شماره 

صفحات  -

تاریخ انتشار 2012