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Analysis Of Critical Short-Time Langevin Dynamics In Two-Dimensional Φ4theory On The Basis Of A Higher-Order Algorithm

Author

Listed:
  • TSUYOSHI OTOBE

    (Department of Physics, Waseda University, Okubo 3-4-1, Shinjuku-ku, Tokyo 169-8555, Japan)

  • HIROMICHI NAKAZATO

    (Department of Physics, Waseda University, Okubo 3-4-1, Shinjuku-ku, Tokyo 169-8555, Japan)

  • KEISUKE OKANO

    (Laboratory of Theoretical Physics and Information Science, Tokuyama University, Gakuendai, Shyunan, Yamaguchi 745-8566, Japan)

  • KAZUYA YUASA

    (Waseda Institute for Advanced Study, Waseda University, Tokyo 169-8050, Japan)

  • NOZOMU HATTORI

    (Department of Physics, Kyushu University, Hakozaki 6-10-1, Higashi-ku, Fukuoka 812-8581, Japan)

Abstract

We investigate the critical short-time scaling of the two-dimensional lattice ϕ4field theory with a Langevin dynamics. Starting from a "hot" initial configuration but with a small magnetization, the critical initial increase of the magnetization is observed, through which we determine the critical point. From the short-time relaxation dynamics of various quantities at the critical point obtained, the dynamic critical exponents θ,zand the static exponent β/ν are evaluated. In executing a Langevin simulation, an appropriate discretization method with respect to the time degree of freedom becomes essentially important to be adopted and we show that the well-known second-order form of discretized Langevin equation works well to investigate the short-time dynamics.

Suggested Citation

  • Tsuyoshi Otobe & Hiromichi Nakazato & Keisuke Okano & Kazuya Yuasa & Nozomu Hattori, 2009. "Analysis Of Critical Short-Time Langevin Dynamics In Two-Dimensional Φ4theory On The Basis Of A Higher-Order Algorithm," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(05), pages 735-745.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:05:n:s0129183109013959
    DOI: 10.1142/S0129183109013959
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