Flux through a Time-periodic Gate - Monte Carlo Test of a Homogenization Result

Daniele Andreucci, Dario Bellaveglia, Emilio N. M. Cirillo, Silvia Marconi

Abstract

We investigate via Monte Carlo numerical simulations and theoretical considerations the outflux of random walkers moving in an interval bounded by an interface exhibiting channels (pores, doors) which undergo an open/close cycle according to a periodic schedule. We examine the onset of a limiting boundary behavior characterized by a constant ratio between the outflux and the local density, in the thermodynamic limit. We compare such a limit with the predictions of a theoretical model already obtained in the literature as the homogenization limit of a suitable diffusion problem.

References

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Paper Citation


in Harvard Style

Andreucci D., Bellaveglia D., N. M. Cirillo E. and Marconi S. (2013). Flux through a Time-periodic Gate - Monte Carlo Test of a Homogenization Result . In Proceedings of the 3rd International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: BIOMED, (SIMULTECH 2013) ISBN 978-989-8565-69-3, pages 626-635. DOI: 10.5220/0004620206260635


in Bibtex Style

@conference{biomed13,
author={Daniele Andreucci and Dario Bellaveglia and Emilio N. M. Cirillo and Silvia Marconi},
title={Flux through a Time-periodic Gate - Monte Carlo Test of a Homogenization Result},
booktitle={Proceedings of the 3rd International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: BIOMED, (SIMULTECH 2013)},
year={2013},
pages={626-635},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004620206260635},
isbn={978-989-8565-69-3},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 3rd International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: BIOMED, (SIMULTECH 2013)
TI - Flux through a Time-periodic Gate - Monte Carlo Test of a Homogenization Result
SN - 978-989-8565-69-3
AU - Andreucci D.
AU - Bellaveglia D.
AU - N. M. Cirillo E.
AU - Marconi S.
PY - 2013
SP - 626
EP - 635
DO - 10.5220/0004620206260635