中文摘要：

通过选取具有正确渐近行为的标度函数形式,将自洽的模耦合理论推广应用到对非局域的Sun-Guo-Grant方程的动力学标度性质的研究中.通过分析得到,在强耦合区基底维数d=1,2的情况下,动力学指数z随非局域参数ρ的变化关系.将这一结果与动力学重正化群理论和直接标度分析得到的结果进行了对比.

英文摘要：

In this paper, by choosing an ansatz consistent with the asymptotic forms of the correlation and response function, the self-consistent mode-coupling theory is generalized to the analysis of the dynamic scaling of the nonlocal Sun-Guo-Grant equation and the values of the dynamic exponent depending on nonlocal parameter ρ are calculated numerically for the substrate dimension d=1, 2 dimensions,respectively. The results obtained are compared with that of dynamic renormalization-group theory and scaling analysis.