通过生长无序提取化学能：最大功率下的效率

对“关于”淬火无序生长界面粗糙度的宏观方程“一文的评论”一文的答复

Reply on `Comment on ``Comment on `Macroscopic Equation for the Roughness of Growing Interfaces in Quenched Disorder'' '

回复“评论”[物理学评论]。81，630（1998）

关联无序晶体生长表面的粗糙化：非线性的影响

Roughening of a growing surface on a crystal with correlated disorder: influence of nonlinearity

我们研究了在衬底上存在相关无序时晶体的生长。利用泛函重整化群，我们发现，对于长程无序关联，KPZ型非线性的初始衰减，虽然在很大的长度尺度上的行为可以由非线性。

对“淬火无序生长界面粗糙度的宏观分布方程“一文的评论

Comment on "Macrospopic Equation for the Roughness of Growing Interfaces in Quenched Disorder"

我们对Braunstein和Buceta最近的一封信[PRL vol.81，630（1998）]进行了评论，其中提出了一个新的方程来描述存在淬火无序的界面动力学。我们认为，Braunstein和Buceta提出的近似只是对极短时间体系的有效描述，对界面的宏观（大尺度）行为没有意义。我们计算的界面的短时间行为，是有效的任何q（而不仅仅是在q_c）的表达式。

Three-dimensional universality class of Ising model with power-law-correlated critical disorder

We use large-scale Monte Carlo simulations to test the Weinrib-Halperin criterion that predicts new universality classes in the presence of sufficiently slowly decaying power-law-correlated quenched disorder. While new universality classes are reasonably well established, the predicted exponents are controversial. We propose a method of growing such correlated disorder using the three-dimensional Ising model as benchmark systems both for generating disorder and studying the resulting phase transition. Critical equilibrium configurations of a disorder-free system are used to define the two-valu…

Percolation in Media with Columnar Disorder

We study a generalization of site percolation on a simple cubic lattice, where not only single sites are removed randomly, but also entire parallel columns of sites. We show that typical clusters near the percolation transition are very anisotropic, with different scaling exponents for the sizes parallel and perpendicular to the columns. Below the critical point there is a Griffiths phase where cluster size distributions and spanning probabilities in the direction parallel to the columns have power law tails with continuously varying non-universal powers. This region is very similar to the Gri…

随机势场中弹性线的增长关联与老化

Growing correlations and aging of an elastic line in a random potential

通过数值求解Edwards-Wilkinson方程和固体-固体晶格模型的Monte Carlo动力学，研究了二维淬火随机势中有向弹性线的热辅助弛豫.我们发现，老化动力学是由一个不断增长的相关长度显示两个制度：一个初始的热为主的幂律增长跨越，在一个静态的温度相关长度$L_T \sim T^3$，对数增长符合代数增长的障碍。我们提出了一个尺度参数来处理交叉引起的几何和动力学效应。这种分析可以解释为什么大多数数值研究的结果，到目前为止已被描述与有效的幂律，也允许确定所观察到的异常的温度依赖性的特征生长指数。我们认为，类似的机制应该在其他无序系统的工作。我们推广的家庭Vicsek固定标度律来描述的粗糙度，通过将等待时间的依赖性或年龄的初始配置。两次线性响应和关联函数的分析表明，一个定义明确的有效温度存在于幂律区。最后，我们讨论了我们的研究结果的相关性，在高温超导体的涡旋玻璃的缓慢动力学。