Arlego M, Grynberg M D
Departamento de Física, Universidad Nacional de La Plata, 1900 La Plata, Argentina.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Nov;88(5):052408. doi: 10.1103/PhysRevE.88.052408. Epub 2013 Nov 27.
We present an alternative finite-size approach to a set of parity-conserving interfaces involving attachment, dissociation, and detachment of extended objects in 1+1 dimensions. With the aid of a nonlocal construct introduced by Barma and Dhar in related systems [Phys. Rev. Lett. 73, 2135 (1994)], we circumvent the subdiffusive dynamics and examine close-to-equilibrium aspects of these interfaces by assembling states of much smaller, numerically accessible scales. As a result, roughening exponents, height correlations, and width distributions exhibiting universal scaling functions are evaluated for interfaces virtually grown out of dimers and trimers on large-scale substrates. Dynamic exponents are also studied by finite-size scaling of the spectrum gaps of evolution operators.
我们提出了一种替代的有限尺寸方法，用于处理一系列涉及一维加一维中扩展物体附着、解离和脱离的宇称守恒界面。借助巴尔马和达尔在相关系统中引入的非局部结构[《物理评论快报》73, 2135 (1994)]，我们规避了次扩散动力学，并通过组装尺度小得多且在数值上可及的状态来研究这些界面接近平衡的方面。结果，针对在大规模基底上由二聚体和三聚体实际生长而成的界面，评估了呈现通用标度函数的粗糙度指数、高度相关性和宽度分布。还通过演化算符谱隙的有限尺寸标度来研究动力学指数。
