5 citations · 12 across the 8 of their papers we have counts for
4 papers · 1 filter
Efficient algorithm for simulating particles in real quasiperiodic environments
Alan Rodrigo Mendoza Sosa, Atahualpa S. Kraemer
We introduce an algorithm based on Generalized Dual Method (GDM) to efficiently study the dynamics of a particle in quasiperiodic environments without the need to use periodic appr…
Magnetotransport in a perturbed periodic antidot superlattice
Atahualpa S. Kraemer, Alan Rodrigo Mendoza Sosa
We study a 2-dimensional model for an antidot periodic superlattice with perturbed positions of the antidots. To do so we use a quasiperiodic LG model obtained from a 3-dimensional…
Efficient algorithms for general periodic Lorentz gases in two and three dimensions
Atahualpa S. Kraemer, Nikolay Kryukov, David P. Sanders
We present efficient algorithms to calculate trajectories for periodic Lorentz gases consisting of square lattices of circular obstacles in two dimensions, and simple cubic lattice…
Periodizing quasicrystals: Anomalous diffusion in quasiperiodic systems
Atahualpa S. Kraemer, David P. Sanders
We introduce a construction to embed a quasiperiodic lattice of obstacles into a single unit cell of a higher-dimensional space, with periodic boundary conditions. This constructio…