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arXiv 0904.2200cond-mat.stat-mech
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界面动力学平滑中的标度和普适性:应用于分析氧化物表面的粗糙邻近台阶

Scaling and universality in the kinetic smoothening of interfaces: Application to the analysis of the relaxation of rough vicinal steps of an oxide surface

Thi Thu Thuy Nguyen, Daniel Bonamy, Laurent Phan Vam, Jacques Cousty, Luc Barbier

摘要:

利用朗之万形式主义研究了热噪声存在下初始非平衡粗糙界面的弛豫。在对众所周知的粗糙制度的热平衡过程中,在三个连续的长度尺度范围内观察到的三个缩放制度证明:热粗糙(后期)在小尺度,瞬态平滑在中间尺度和残余的初始条件在大尺度。一个泛化的家庭Vicsek缩放的平滑制度。瞬态平滑制度的一个显着特点在于存在一个超普适指数,即独立于所考虑的模型。这种方法允许解释一系列的蓝宝石表面的AFM图像,显示初始粗糙的台阶边缘的热演化。

英文摘要:

Relaxation of initially out-of-equilibrium rough interfaces in presence of thermal noise is investigated using Langevin formalism. During thermal equilibration towards the well-known roughening regime, three scaling regimes observed over three successive ranges of length-scales are evidenced: thermal roughening (late stage) at small scales, transient smoothening at intermediate scales and remnant of the initial conditions at large scales. A generalization of the Family-Vicsek scaling is found for the smoothening regime. A distinctive feature of the transient smoothening regime resides in the existence of a super-universal exponent, i.e. independent of the considered model. This approach allows interpreting a series of AFM images of sapphire surfaces showing the thermal evolution of initially rough step edges.

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