对称破缺相变动力学的早期行为
Beyond Cahn-Hilliard-Cook: Early time behavior of symmetry breaking phase transition kinetics
摘要:
我们扩展了早期的Cahn,Hilliard和Cook(CHC)的有序理论,使我们的广义理论适用于固体到固体的转变。我们的理论涉及空间对称性破缺(初始相位包含最终相位中不存在的对称性)。我们的推广的预测与CHC理论的预测在两个重要方面不同:指数增长并不立即开始淬火后,和对象的指数增长不一定是傅立叶模式。我们的理论与长程反铁磁伊辛模型的模拟结果是一致的。
英文摘要:
We extend the early time ordering theory of Cahn, Hilliard, and Cook (CHC) so that our generalized theory applies to solid-to-solid transitions. Our theory involves spatial symmetry breaking (the initial phase contains a symmetry not present in the final phase). The predictions of our generalization differ from those of the CHC theory in two important ways: exponential growth does not begin immediately following the quench, and the objects that grow exponentially are not necessarily Fourier modes. Our theory is consistent with simulation results for the long-range antiferromagnetic Ising model.
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