Padilla L, Mártin H O, Iguain J L
Instituto de Investigaciones Físicas de Mar del Plata and Departamento de Física FCEyN, Universidad Nacional de Mar del Plata, Deán Funes 3350, AR-7600 Mar del Plata, Argentina.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jul;86(1 Pt 1):011106. doi: 10.1103/PhysRevE.86.011106. Epub 2012 Jul 6.
We introduce finite ramified self-affine substrates in two dimensions with a set of appropriate hopping rates between nearest-neighbor sites where the diffusion of a single random walk presents an anomalous anisotropic behavior modulated by log-periodic oscillations. The anisotropy is revealed by two different random-walk exponents ν(x) and ν(y) in the x and y directions, respectively. The values of these exponents as well as the periods of the oscillations are obtained analytically and confirmed by Monte Carlo simulations.
我们在二维空间中引入有限分支自仿射基底，在最近邻位点之间设置一组合适的跳跃率，其中单个随机游走的扩散呈现出由对数周期振荡调制的反常各向异性行为。各向异性分别由x和y方向上两个不同的随机游走指数ν(x)和ν(y)揭示。通过解析得到这些指数的值以及振荡周期，并通过蒙特卡罗模拟进行了验证。
