物理学报Issue(15)：1-6,6.DOI:10.7498/aps.63.150502
2+1维刻蚀模型生长表面等高线的共形不变性研究*
Conformal invariance of isoheight lines of the (2+1)-dimensional etching surfaces
摘要
Abstract
In order to study the statistical properties of the surface fluctuations in the Etching model more comprehensively and effectively, based on the Schramm Loewner evolution (SLEκ) theory, the contour lines of the saturated surface in the (2+1)-dimensional Etching model are investigated by means of numerical simulations. Results show that the isoheight lines of the (2+1)-dimensional Etching surfaces are conformally invariant and can be described in the frame work of the SLEκ theory with diffusivityκ=2.70 ± 0.04, which belongs to theκ=8/3 universality class. The corresponding fractal dimensions of the isoheight lines are df=1.34 ± 0.01.关键词
刻蚀模型/Schramm Loewner Evolution理论/共形不变性Key words
Etching model/Schramm Loewner evolution theory/conformal invariance引用本文复制引用
寻之朋,唐刚,夏辉,郝大鹏,宋丽建,杨毅..2+1维刻蚀模型生长表面等高线的共形不变性研究*[J].物理学报,2014,(15):1-6,6.基金项目
中央高校基本科研业务费专项资金(批准号:2012QNA42)和国家自然科学基金(批准号:11247249,11304377,11304378)资助的课题 （批准号:2012QNA42）
