A new approach to dynamic finite-size scaling

Details A new approach to dynamic finite-size scaling A new approach to dynamic finite-size scaling

2003-02-27

arxiv.org/abs/cond-mat/0302571v1

Int.J.Mod.Phys.C14:945-954,2003

Physics

Condensed Matter

Latex file with six figures. Accepted for publication in IJMP

Scientific paper

10.1142/S012918310300508X

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 behaviour of 2- and 3-dimensional Ising models. We have used the literature values of the critical exponents and of the new dynamic exponent $x_0$ to observe the dynamic finite-size scaling behaviour of the time evolution of the magnetization during early stages of the Monte Carlo simulation. For 3-dimensional Ising Model we have also presented that this method opens the possibility of calculating $z$ and $x_0$ separately. Our results show good agreement with the literature values. Measurements done on lattices with different sizes seem to give very good scaling.

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