Minnhagen P, Kim B J, Weber H
Department of Theoretical Physics, Umeå University, 901 87 Umeå, Sweden.
Phys Rev Lett. 2001 Jul 16;87(3):037002. doi: 10.1103/PhysRevLett.87.037002. Epub 2001 Jun 29.
The dynamic critical exponent z is determined from numerical simulations for the three-dimensional (3D) lattice Coulomb gas (LCG) and the 3D XY models with relaxational dynamics. It is suggested that the dynamics is characterized by two distinct dynamic critical indices z0 and z related to the divergence of the relaxation time tau by tau proportional to xi(z0) and tau proportional to k(-z), where xi is the correlation length and k the wave vector. The values determined are z0 approximately 1.5 and z approximately 1 for the 3D LCG and z0 approximately 1.5 and z approximately 2 for the 3D XY model. Comparisons with other results are discussed.
动态临界指数z是通过对三维（3D）晶格库仑气体（LCG）和具有弛豫动力学的3D XY模型进行数值模拟确定的。研究表明，动力学由两个不同的动态临界指数z0和z表征，它们与弛豫时间τ的发散有关，其中τ与关联长度ξ的z0次方成正比，τ与波矢k的z次方成反比，这里ξ是关联长度，k是波矢。对于3D LCG，确定的值为z0约为1.5，z约为1；对于3D XY模型，z0约为1.5，z约为2。文中还讨论了与其他结果的比较。
