Finite-size scaling and critical exponents in critical relaxation.

Zhibing Li,L. Schülke,Bo Zheng

Published 1995 in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

ABSTRACT

We simulate the critical relaxation process of the two-dimensional Ising model with the initial state both completely disordered or completely ordered. Results of a new method to measure both the dynamic and static critical exponents are reported, based on the finite size scaling for the dynamics at the early time. From the time-dependent Binder cumulant, the dynamical exponent $z$ is extracted independently, while the static exponents $\beta/\nu$ and $\nu$ are obtained from the time evolution of the magnetization and its higher moments.

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