Folk R, Moser G
Institute for Theoretical Physics, University of Linz, Linz, Austria.
Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Mar;69(3 Pt 2):036101. doi: 10.1103/PhysRevE.69.036101. Epub 2004 Mar 4.
We calculate the field-theoretic functions of the generalized dynamical model C*, in which a conserved secondary density is coupled to a nonconserved complex order parameter, in two-loop order. We show that the fixed points in this extended model are equal to the fixed points obtained in model C with a real order parameter, which has been introduced by Halperin, Hohenberg, and Ma. Our results correct long-standing errors in the field-theoretic functions in model C published by several authors leading also to different fixed point values w* for the ratio of the two time scales involved. The stability regions of the fixed points, which remained partially unclear, considered in a "phase diagram"--whose axes are the spatial dimension d and number of order parameter components n--are now clarified. Especially an anomalous region found by previous authors, in which the scaling properties remained unsolved, does not exist. There are only two regions: one with a finite fixed point w* where the dynamical exponent z of the order parameter is z=2+alpha/nu and another region where w*=0 and z is equal to the model A value.
我们在两圈阶次下计算广义动力学模型C的场论函数，其中一个守恒的二级密度与一个非守恒的复序参量耦合。我们表明，这个扩展模型中的不动点与哈尔珀林、霍恩贝格和马引入的具有实序参量的模型C中得到的不动点相等。我们的结果纠正了几位作者发表的模型C中场论函数中长期存在的错误，这些错误也导致了所涉及的两个时间尺度之比的不同不动点值w。在一个“相图”（其坐标轴为空间维度d和序参量分量数n）中考虑的、部分仍不清楚的不动点的稳定区域现在得到了澄清。特别是之前作者发现的一个标度性质未解决的反常区域并不存在。只有两个区域：一个区域有一个有限的不动点w*，其中序参量的动力学指数z为z = 2 + α/ν，另一个区域w* = 0且z等于模型A的值。
