33 citations · 112 across the 8 of their papers we have counts for
10 papers · 1 filter
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…
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…
Encounter times in overlapping domains: application to epidemic spread in a population of territorial animals
Luca Giuggioli, Sebastian Pérez-Becker, David P. Sanders
We develop an analytical method to calculate encounter times of two random walkers in one dimension when each individual is segregated in its own spatial domain and shares with its…
Long-range correlations in a simple stochastic model of coupled transport
Hernán Larralde, David P. Sanders
We study coupled transport in the nonequilibrium stationary state of a model consisting of independent random walkers, moving along a one-dimensional channel, which carry a conserv…
Deterministic Diffusion in Periodic Billiard Models
David P. Sanders
We investigate statistical properties of several classes of periodic billiard models which are diffusive. An introductory chapter gives motivation, and then a review of statistical…