Monte Carlo simulation of the Ising model and random number generation on the vector processor

Author

Ito, Nobuyasu ; Kanada, Yasumasa

Author_Institution

Tokyo Univ., Japan

fYear

1990

fDate

12-16 Nov 1990

Firstpage

753

Lastpage

763

Abstract

The Monte Carlo simulation of the Ising model on the vector processor is discussed with particular attention given to the development of the vectorizable algorithm and the implementation, tuning, and tests necessary for the large-scale computations. The machine is the HITAC S820/80. The maximum simulation speed is 0.93×10⁹ spins per second for the ferromagnetic Ising models on a simple cubic lattice. The random number generation algorithms are also explained. The present generator can produce 0.62×10⁹ 32-bit random integers per second. The results of randomness tests which use the two-dimensional Ising model are presented

Keywords

Ising model; Monte Carlo methods; parallel processing; physics computing; pipeline processing; random number generation; HITAC S820/80; Ising model; Monte Carlo simulation; ferromagnetic Ising models; maximum simulation speed; random number generation; simple cubic lattice; two-dimensional Ising model; vector processor; vectorizable algorithm; Electronic mail; Indium tin oxide; Large-scale systems; Magnetic materials; Microscopy; Nearest neighbor searches; Physics; Random number generation; System testing; Vector processors;

fLanguage

English

Publisher

ieee

Conference_Titel

Supercomputing '90., Proceedings of

Conference_Location

New York, NY

Print_ISBN

0-8186-2056-0

Type

conf

DOI

10.1109/SUPERC.1990.130097

Filename

130097