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A New Approach To Dynamic Finite-Size Scaling

Author

Listed:
  • MEHMET DİLAVER

    (Physics Department, Hacettepe University, 06532 Beytepe, Ankara, Turkey)

  • SEMRA GÜNDÜÇ

    (Physics Department, Hacettepe University, 06532 Beytepe, Ankara, Turkey)

  • MERAL AYDIN

    (Physics Department, Hacettepe University, 06532 Beytepe, Ankara, Turkey;
    Mathematics and Computer Sciences Department, Çankaya University, 06530 Balgat, Ankara, Turkey)

  • YİĞİT GÜNDÜÇ

    (Physics Department, Hacettepe University, 06532 Beytepe, Ankara, Turkey)

Abstract

In this work we have considered the Taylor series expansion of the dynamic scaling relation of the magnetization with respect to small initial magnetization values in order to study the dynamic scaling behavior of two- and three-dimensional Ising models. We have used the literature values of the critical exponents and of the new dynamic exponentx0to observe the dynamic finite-size scaling behavior of the time evolution of the magnetization during early stages of the Monte Carlo simulation. For the three-dimensional Ising model we have also presented that this method opens the possibility of calculatingzandx0separately. Our results show good agreement with the literature values. Measurements done on lattices with different sizes seem to give very good scaling.

Suggested Citation

  • Mehmet Di̇laver & Semra Gündüç & Meral Aydin & Yi̇ği̇t Gündüç, 2003. "A New Approach To Dynamic Finite-Size Scaling," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(07), pages 945-954.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:07:n:s012918310300508x
    DOI: 10.1142/S012918310300508X
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