发帖
雷达卡
摘要翻译：
我们在二维各向同性和各向异性Bak-Sneppen模型上实现了损伤扩展技术。我们的大量数值模拟表明，在统计平稳态（自组织临界状态）下，存在对初始条件的幂律敏感性。计算了相应的Hamming距离的增长指数$\alpha$和动力学指数$z$。这些值允许我们观察到Bak-Sneppen模型两个版本的有限尺寸缩放的清晰数据折叠。研究表明，在各向同性和各向异性Bak-Sneppen模型中，瞬态时间的选择对距离的增长指数有很大的影响。
---
英文标题：
《Damage spreading in 2-dimensional isotropic and anisotropic Bak-Sneppen
models》
---
作者：
Burhan Bakar and Ugur Tirnakli
---
最新提交年份：
2008
---
分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
--
---
英文摘要：
We implement the damage spreading technique on 2-dimensional isotropic and anisotropic Bak-Sneppen models. Our extensive numerical simulations show that there exists a power-law sensitivity to the initial conditions at the statistically stationary state (self-organized critical state). Corresponding growth exponent $\alpha$ for the Hamming distance and the dynamical exponent $z$ are calculated. These values allow us to observe a clear data collapse of the finite size scaling for both versions of the Bak-Sneppen model. Moreover, it is shown that the growth exponent of the distance in the isotropic and anisotropic Bak-Sneppen models is strongly affected by the choice of the transient time.
---
PDF链接：
https://arxiv.org/pdf/706.0445
京公网安备 11010802022788号
