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A NEW APPROACH TO DYNAMIC FINITE-SIZE SCALING

Mehmet Di̇laver, Semra Gündüç, Meral Aydin and Yi̇ği̇t Gündüç
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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;
Yi̇ği̇t Gündüç: Physics Department, Hacettepe University, 06532 Beytepe, Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 07, 945-954

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.

Keywords: Ising model; dynamic scaling; time evolution of the; magnetization (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S012918310300508X

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