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Study of phase transition of Potts model with Domain Adversarial Neural Network

Author

Listed:
  • Chen, Xiangna
  • Liu, Feiyi
  • Chen, Shiyang
  • Shen, Jianmin
  • Deng, Weibing
  • Papp, Gábor
  • Li, Wei
  • Yang, Chunbin

Abstract

A transfer learning method, Domain Adversarial Neural Network (DANN), is introduced to study the phase transition of two-dimensional q-state Potts model. With the DANN, we only need to choose a few labeled configurations automatically as input data, then the critical points can be obtained after training the algorithm. By an additional iterative process, the critical points can be captured to comparable accuracy to Monte Carlo simulations as we demonstrate it for q=3,4,5,7 and 10. The type of phase transition (first or second-order) is also determined at the same time. Meanwhile, for the second-order phase transition at q=3, we can calculate the critical exponent ν by data collapse. Furthermore, compared to the traditional supervised learning, we found the DANN to be more accurate with lower cost.

Suggested Citation

  • Chen, Xiangna & Liu, Feiyi & Chen, Shiyang & Shen, Jianmin & Deng, Weibing & Papp, Gábor & Li, Wei & Yang, Chunbin, 2023. "Study of phase transition of Potts model with Domain Adversarial Neural Network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
    • Handle: RePEc:eee:phsmap:v:617:y:2023:i:c:s0378437123002212
    DOI: 10.1016/j.physa.2023.128666
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    1. Qiyi He & Xiaolin Meng & Rong Qu & Ruijie Xi, 2020. "Machine Learning-Based Detection for Cyber Security Attacks on Connected and Autonomous Vehicles," Mathematics, MDPI, vol. 8(8), pages 1-20, August.
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