Distributed Processing of the Lattice in Monte Carlo Simulations of the Ising Type Spin Model

• Autorzy: Murawski S. , Musiał G. , Pawłowski G.

Identyfikatory

DOI

10.12921/cmst.2015.21.03.002

• Języki publikacji: EN

Abstrakty

EN

Parallelization of processing in Monte Carlo simulations of the Ising spin system with the lattice distributed in a stripe way is proposed. Message passing is applied and one-sided MPI communication with the MPI memory window is exploited. The 2D Ising spin lattice model is taken for testing purposes. The scalability of processing in our simulations is tested in real-life computing on high performance multicomputers and discussed on the basis of speedup and efficiency. The larger the lattice the better scalability is obtained.

Słowa kluczowe

EN

parallel processing; distributed processing; one-sided MPI communication; Monte Carlo simulation; classical spin lattice model; high performance computing

• Wydawca: Institute of Bioorganic Chemistry Scientific Publishers OWN, Polish Academy of Sciences
• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2015
• Tom: Vol. 21, No. 3
• Strony: 117--121
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Murawski S.

• Faculty of Physics, Adam Mickiewicz University ul. Umultowska 85, 61-614 Poznań, Poland

autor

Musiał G.

• Faculty of Physics, Adam Mickiewicz University ul. Umultowska 85, 61-614 Poznań, Poland

autor

Pawłowski G.

• Faculty of Physics, Adam Mickiewicz University ul. Umultowska 85, 61-614 Poznań, Poland

Bibliografia

• [1] G. Musiał, L. D˛ebski, Monte Carlo method with parallel computation of phase transitions in the three-dimensional Ashkin-Teller model, Lect. Notes in Comp. Scie. 2328, 535 (2002).
• [2] G. Musiał, Monte Carlo analysis of the tricritical behavior in a three-dimensional system with a multicomponent order parameter: The Ashkin-Teller model, Phys. Rev. B 69, 024407(2004).
• [3] L. D˛ebski, G. Musiał, J. Rogiers, A Monte Carlo study of continuous non-Ising phase transitions in the 3D Ashkin-Teller Model using the OpenMosix cluster of Linux PCs, Lect. Notes in Comp. Scie. 3019, 455 (2004).
• [4] S. Murawski, K. Kapcia, G. Pawłowski, S. Robaszkiewicz, On the phase diagram of the zero-bandwidth extended hubbard model with intersite magnetic interactions for strong on-site repulsion limit Acta Phys. Polon. A 121, 1035 (2012).
• [5] L. Onsager, Crystal statistics. I. A two-dimensional model with an order-disorder transition Phys. Rev. 65, 117 (1944).
• [6] N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller, E. Teller, Equation of State Calculations by Fast Computing Machines, J. Chem. Phys. 21, 1087 (1953).
• [7] D. P. Landau, K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics, Cambridge University Press, Cambridge 2000.
• [8] R. H. Swendsen, J.-S. Wang, Nonuniversal critical dynamics in Monte Carlo simulations, Phys. Rev. Lett. 58, 86 (1987).
• [9] F. Wang, D.P. Landau, Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram, Phys. Rev. E 64, 056101 (2001).
• [10] W. Prokovef, B. Svistunov, Worm algorithms for classical statistical models Phys. Rev. Letters 87, 60601 (2001).
• [11] H. G. Evertz, W. von der Linden, Simulations on infinite-size lattices Phys. Rev. Letters 86, 5164 (2001).
• [12] http://www.mpi-forum.org/ – MPI Forum Home Page.
• [13] W. Gropp, E. Lusk, A. Skjellum, Using MPI – 2nd Edition: Portable Parallel Programming with the Message-Passing Interface, MIT Press, Cambridge 1999.
• [14] E. F. Van de Velde, Concurrent Scientific Computing, Springer-Verlag, New York 1994.
• [15] G. M. Ahmdal, Validity of the Single Processor Approach to Achieving Large-Scale Computing Capabilities AFIPS Conf. Proc. 30, 483 (1963).
• [16] M. Suzuki, Quantum statistical Monte Carlo methods and applications to spin systems, J. Stat. Phys. 43, 883 (1986).
• [17] X. Qian, Y. Deng, H. W. J. Blöte, Percolation in one of q colors near criticality, Phys. Rev. E 72, 056132 (2005).
• [18] S. Murawski, K. Kapcia, G. Pawłowski, S.Robaszkiewicz, Monte Carlo study of phase separation in magnetic insulators Acta Phys. Pol. A 127, 281 (2014).