Glauber Critical Dynamics: Exact Solution of the Kinetic Gaussian Model

Details Glauber Critical Dynamics: Exact Solution of the Kinetic Gaussian Model Glauber Critical Dynamics: Exact Solution of the Kinetic Gaussian Model

2002-06-29

arxiv.org/abs/cond-mat/0207006v1

Phys. Rev. E 59,1551 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages

Scientific paper

10.1103/PhysRevE.59.1551

In this paper, we have exactly solved Glauber critical dynamics of the Gaussian model on three dimensions. Of course, it is much easy to apply to 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 which refer to that for one- two- and three-dimensions they have same value independent of spatial dimensionality in contrast to static (equilibrium) critical exponents.

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