Dynamic study of the Ising model: equilibrium time and temperature

Chengzhang Zhao

doi:10.1117/12.2635083

25 April 2022 Dynamic study of the Ising model: equilibrium time and temperature

Chengzhang Zhao

Proceedings Volume 12244, 2nd International Conference on Mechanical, Electronics, and Electrical and Automation Control (METMS 2022); 122444K (2022) https://doi.org/10.1117/12.2635083
Event: 2nd International Conference on Mechanical, Electronics, and Electrical and Automation Control (METMS 2022), 2022, Guilin, China

Abstract

The Ising model has drawn much research interest for its simplicity and its fundamentality. The solution for the 3-D Ising model is studied comprehensively over the years, and to use Monte Carlo method to computationally gain a numerical solution for the model has proven to be an effective way that provides good precision. The common simulation algorithms usually use the same equilibrium time for all temperatures; however, such conduct ignores the difference in the equilibrium behavior at different temperatures. In this work, the equilibrium time for the 3-D Ising model was probed into within wide temperature range, and its equilibrium behavior, the relation between equilibrium time and temperature, is quantitatively obtained, in the hope that, efficiency in future simulations could be increased by applying appropriate simulation time for all temperatures, and that our understanding of the dynamics of the Ising could be furthered.

Citation Download Citation

Chengzhang Zhao "Dynamic study of the Ising model: equilibrium time and temperature", Proc. SPIE 12244, 2nd International Conference on Mechanical, Electronics, and Electrical and Automation Control (METMS 2022), 122444K (25 April 2022); https://doi.org/10.1117/12.2635083

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