48 citations · 336 across the 32 of their papers we have counts for
33 papers
Mean encounter times for multiple random walkers on networks
Alejandro P. Riascos, David P. Sanders
We introduce a general approach for the study of the collective dynamics of non-interacting random walkers on connected networks. We analyze the movement of independent (Markov…
Exact hopping and collision times for two hard discs in a box
Wilhelm P. K. Zapfe, David P. Sanders, Rosa Rodríguez-Mota
We study the molecular dynamics of two discs undergoing Newtonian ("inertial") dynamics, with elastic collisions in a rectangular box. Using a mapping to a billiard model and a key…
Monte Carlo sampling in diffusive dynamical systems
Diego Tapias, David P. Sanders, Eduardo G. Altmann
We introduce a Monte Carlo algorithm to efficiently compute transport properties of chaotic dynamical systems. Our method exploits the importance sampling technique that favors tra…
Ergodicity of one-dimensional systems coupled to the logistic thermostat
Diego Tapias, Alessandro Bravetti, David P. Sanders
We analyze the ergodicity of three one-dimensional Hamiltonian systems, with harmonic, quartic and Mexican-hat potentials, coupled to the logistic thermostat. As criteria for ergod…
Geometric integrator for simulations in the canonical ensemble
Diego Tapias, David P. Sanders, Alessandro Bravetti
In this work we introduce a geometric integrator for molecular dynamics simulations of physical systems in the canonical ensemble. In particular, we consider the equations arising…
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…