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Model A of critical dynamics: 5-loop ɛ expansion study

Author

Listed:
  • Adzhemyan, L.Ts.
  • Evdokimov, D.A.
  • Hnatič, M.
  • Ivanova, E.V.
  • Kompaniets, M.V.
  • Kudlis, A.
  • Zakharov, D.V.

Abstract

We have calculated the five-loop RG expansions of the n-component A model of critical dynamics in dimensions d=4−ɛ within the Minimal Subtraction scheme. This is made possible by using the advanced diagram reduction method and the Sector Decomposition technique adapted to the problems of critical dynamics. The ɛ expansions for the critical dynamic exponent z for an arbitrary value of the order parameter dimension n are derived. Based on these series, the numerical estimates of z for different universality classes are extracted and compared with the results obtained within different theoretical and experimental methods.

Suggested Citation

  • Adzhemyan, L.Ts. & Evdokimov, D.A. & Hnatič, M. & Ivanova, E.V. & Kompaniets, M.V. & Kudlis, A. & Zakharov, D.V., 2022. "Model A of critical dynamics: 5-loop ɛ expansion study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    • Handle: RePEc:eee:phsmap:v:600:y:2022:i:c:s0378437122003739
    DOI: 10.1016/j.physa.2022.127530
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    References listed on IDEAS

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    1. Dietrich Stauffer, 1996. "FLIPPING OF MAGNETIZATION IN ISING MODELS ATTc," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 7(05), pages 753-757.
    2. Ito, Nobuyasu, 1993. "Non-equilibrium relaxation and interface energy of the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(4), pages 591-614.
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