Saberi A A, Rajabpour M A, Rouhani S
Department of Physics, Sharif University of Technology, P.O. Box 11155-9161, Tehran, Iran.
Phys Rev Lett. 2008 Feb 1;100(4):044504. doi: 10.1103/PhysRevLett.100.044504. Epub 2008 Jan 29.
We have studied the isoheight lines on the WO3 surface as a physical candidate for conformally invariant curves. We have shown that these lines are conformally invariant with the same statistics of domain walls in the critical Ising model. They belong to the family of conformal invariant curves called Schramm-Loewner evolution (or SLE(kappa)), with diffusivity of kappa approximately 3. This can be regarded as the first experimental observation of SLE curves. We have also argued that Ballistic Deposition (BD) can serve as a growth model giving rise to contours with similar statistics at large scales.
我们研究了WO₃表面上的等高线，将其作为共形不变曲线的一个物理候选对象。我们已经表明，这些线是共形不变的，且具有与临界伊辛模型中畴壁相同的统计特性。它们属于被称为施拉姆 - 洛厄纳演化（或SLE(κ)）的共形不变曲线族，其中κ的扩散率约为3。这可被视为对SLE曲线的首次实验观测。我们还论证了弹道沉积（BD）可以作为一种生长模型，在大尺度上产生具有类似统计特性的轮廓。
