Azimi-Tafreshi N, Moghimi-Araghi S
Department of Physics, Sharif University of Technology, Tehran, Iran.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4 Pt 2):046115. doi: 10.1103/PhysRevE.80.046115. Epub 2009 Oct 21.
We study critical properties of the continuous Abelian sandpile model with anisotropies in toppling rules that produce ordered patterns on it. Also, we consider the continuous directed sandpile model perturbed by a weak quenched randomness, study critical behavior of the model using perturbative conformal field theory, and show that the model has a random fixed point.
我们研究了连续阿贝尔沙堆模型的临界性质,该模型在倾倒规则中具有各向异性,会在其上产生有序图案。此外,我们考虑了受弱淬火随机性扰动的连续有向沙堆模型,使用微扰共形场理论研究了该模型的临界行为,并表明该模型具有一个随机不动点。