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期刊论文

Glauber critical dynamics: Exact solution of the kinetic Gaussian model

杨展如Jian-Yang Zhu* and Z.R. Yang

PHYSICAL REVIEW E VOLUME 59, NUMBER 2 FEBRUARY 1999,-0001,():

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摘要/描述

In this paper, we have exactly solved Glauber's critical dynamics of the Gaussian model in three dimensions. Of course, it is much easier to apply in the low-dimensional case. The key steps are that we generalize the spin change mechanism from Glauber's single-spin flipping to single-spin transition and give a normalized version of the transition probability. We have also investigated the dynamical critical exponent and found surprisingly that the dynamical critical exponent is highly universal; that is, for one, two, and three dimensions they have the same value independent of spatial dimensionality in contrast to static ~equilibrium! critical exponents.

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