title: Anisotropic anomalous diffusion modulated by log-periodic oscillations.
abstract: 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.
authors.affiliation: 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. lorenapadilla.r@gmail.com
authors.forename: L
authors.initials: L
authors.lastname: Padilla
authors.forename: H O
authors.initials: HO
authors.lastname: Mártin
authors.forename: J L
authors.initials: JL
authors.lastname: Iguain
mesh_terms: D000465:Algorithms; D016880:Anisotropy; D003198:Computer Simulation; D004058:Diffusion; D008956:Models, Chemical; D015233:Models, Statistical; D009991:Oscillometry / Q000379:methods*