Phase diagrams of spin-3/2 Ising model in the presence of random crystal field within the effective field theory based on two approximations

The bimodal random crystal field （A） effects are investigated on the phase diagrams of spin-3/2 Ising model by using the effective-field theory with correlations based on two approximations： the general van der Waerden identity and the approximated van der Waerden identity. In our approach, the crystal field is either turned on or turned off randomly for a given probability p or q = 1 -p, respectively. Then the phase diagrams are constructed on the （A,kT/J） and （p,kT/J） planes for given p and A, respectively, when the coordination number is z = 3. Furthermore, the effect of randomization of the crystal field is illustrated on the （△,kT/J） plane for p = 0.5 when z - 3,4, and 6. All these are carried out for both approximations and then the results are compared to point out the differences. In addition to the lines of second-order phase transitions, the model also exhibits first-order phase transitions and the lines of which terminate at the isolated critical points for high p values.     

噪声对均质形核过程影响的晶体相场法研究

采用晶体相场模型,模拟了有色噪声诱发的均质形核过程. 结果表明,噪声强度在一定范围内对系统平衡热力学参量、形核势垒、临界晶核尺寸影响甚微; 而对形核孕育时间影响较大,形核孕育时间随噪声强度的增大呈指数减小趋势. 进一步分析表明,噪声对形核孕育时间的影响主要是由于噪声的引入改变了原子动力学系数.     

采用多相场法研究三维层片共晶生长的厚度效应

采用Kim,Kim,Suzuki和Ode提出的KKSO多相场模型,研究了固定层片间距不同层片厚度条件下三维过共晶层片生长形态的演化行为.研究表明,层片厚度对层片生长过程有较大影响.当层片厚度较小时,厚度效应较弱,类似于二维生长.随着层片厚度的增加,厚度效应逐渐增强并开始产生厚度方向的振荡失稳,造成层片取向的偏转.层片厚度的进一步增加,使层片宽度方向和层片厚度方向的振荡交替出现.当层片厚度大于层片宽度时,厚度效应逐渐强于宽度效应,最终宽度方向的振荡被抑制,仅在厚度方向形成类似于二维的1λ振荡. 关键词： 数值模拟 多相场 三维层片生长 层片厚度     

稀释晶场对spin-1和spin-1/2混合自旋纳米管中 Blume-Capel模型磁化强度的研究

利用有效场理论研究了纳米管上稀释晶场中混合自旋Blume-Capel模型格点的磁化强度,得到了系统格点的磁化强度与稀释晶场取值概率、外磁场和晶场的关系.结果表明:取值概率、外磁场、交换相互作用和晶场强度等诸多因素相互竞争,使系统表现出比恒定晶场作用的Blume-Capel模型更为丰富的磁学特性;外磁场能够增大系统格点的磁化强度,导致系统的二级相变消失;负晶场的作用使系统发生一级相变;稀释晶场会抑制系统的磁化强度,导致其基态饱和值小于1.