5 citations · 12 across the 8 of their papers we have counts for
8 papers
The scales of disorder in perfect quasicrystals
Alan Rodrigo Mendoza Sosa, Atahualpa S. Kraemer, Michael Schmiedeberg +1
The classical dichotomy between crystalline order and amorphous disorder is increasingly challenged by novel states that lack conventional crystalline symmetries while retaining cr…
Dynamic neighbors: a proposal of a tool to characterize phase transitions
L. Aramis de Icaza Astiz, Atahualpa S. Kraemer, Gerardo Odriozola +1
For molecular dynamics simulations of hard particles, we define dynamic neighbors as the distinct particles that collide with a given reference one during a specific time interval.…
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…
Horizons and free path distributions in quasiperiodic Lorentz gases
Atahualpa S. Kraemer, Michael Schmiedeberg, David P. Sanders
We study the structure of quasiperiodic Lorentz gases, i.e., particles bouncing elastically off fixed obstacles arranged in quasiperiodic lattices. By employing a construction to e…
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…
Zero density of open paths in the Lorentz mirror model for arbitrary mirror probability
Atahualpa S. Kraemer, David P. Sanders
We show, incorporating results obtained from numerical simulations, that in the Lorentz mirror model, the density of open paths in any finite box tends to 0 as the box size tends t…
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…