二维自旋系统aging现象的数值模拟研究  

A numerical study on the aging of two-dimensional spin systems

作　　者：雷晓蔚[1] 郑波[2] 应和平[2] 

机构地区：[1]重庆文理学院物理与信息工程系,重庆402160 [2]浙江大学浙江近代物理中心,杭州310027

出　　处：《物理学报》2007年第3期1713-1718,共6页Acta Physica Sinica

基　　金：国家杰出青年科学基金(批准号:10325520);重庆市教育委员会科学技术研究项目基金(批准号:KJ061208)资助的课题.~~

摘　　要：应用动力学蒙特卡罗模拟方法,对二维Ising模型和二维XY模型的aging现象展开数值研究.系统在零外场条件下从高温无序相淬火到临界温度Tc时,通过测量自关联函数A(t,t′),观察到二维Ising模型和二维XY模型的aging现象,获得更精确的动力学临界指数λc和z的值.特别是对二维XY模型,当初始态为完全无序态时,模拟结果证实存在关于标度行为的对数修正.With a large-scale Monte Carlo simulation, the aging of the two-dimensional dynamic Ising and XY models is numerically studied. Starting from a disordered state, the systems are quenched to critical temperature Tc and then evolve according to dynamics of model A. By calculating the autocorrelation -function A （ t, t′ ） we observe the aging phenomenon for both spin systems. Then, relatively accurate values of the dynamic critical exponent λc and z are estimated. Especially, we confirm that for the two-dimensional XY model, there is a strong logarithmic correction to scaling in the dynamic relaxation starting from a completely disordered.

关 键 词：蒙特卡罗模拟 相变和临界行为 aging现象 二维自旋系统 

分 类 号：O481[理学—固体物理]