Spin Glass Simulation

Student: Dyubaylo Alexander

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Applied Mathematics and Information Science (Bachelor)

Final Grade: 10

Year of Graduation: 2016

The scopes of this study are spin models of the statistics physics. I consider the thermodynamic quantities of the two-dimensional Ising model on a square lattice. For calculations of the basic parameters of this model Metropolis algorithm was used with additional optimizations: AMSC, Parallel Tempering and others. The study was conducted on the simulation software package, implemented in C language using CUDA GPU programming technology. I compared numerical simulation results with the results of the analytical plan, obtained in the application package emph Wolfram Mathematica based on article of Paul and Bill. Particular attention was paid to the dependence of the simulation results on the problem size. The results of this work can be used in the study of phase transitions in ferromagnets.

Full text (added May 28, 2016)

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