Dynamic correlations in phase ordering : the 1/n-expansion reconsidered
Dynamic correlations in phase ordering : the 1/n-expansion reconsidered
复制标题
相序中的动态相关性：重新考虑 1/n 展开式
DOI：
10.1088/0305-4470/26/7/016
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
A. Bray
中科院分区：
文献类型：
--
作者：
J. Kissner;A. Bray
在从高温淬火到有序相之后，考虑具有非保守有序参数的系统的有序动态。 Newman 和 Bray (1990) 对 O(n) 模型建立了 1/n 次幂展开以获得相关函数和二次指数 lambda ，但他们的计算包含一个不正确的简化假设。 lambda 的严格上限和下限是作为空间维度 d 的函数获得的。这些界限排除了 Newman 和 Bray 的结果，尽管 lambda 对 d 的依赖性在性质上非常相似。与模拟结果的比较表明，一阶 1/n 计算结果与数值结果并不符合之前的想法。
The ordering dynamics of a system with a non-conserved order parameter is considered following a quench into the ordered phase from high temperature. Newman and Bray (1990) have set up an expansion in powers of 1/n for the O(n) model to obtain correlation functions and the two-time exponent lambda , but their calculation contains a simplifying assumption which is incorrect. Tight upper and lower bounds for lambda are obtained as a function of the space dimension d. These bounds exclude the result of Newman and Bray, although the dependence of lambda on d is qualitatively very similar. Comparison with simulations shows that the first-order 1/n calculation does not agree with numerical results as well as previously thought.