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Authors: Daniele Andreucci ; Dario Bellaveglia ; Emilio N. M. Cirillo and Silvia Marconi

Affiliation: Sapienza University, Italy

Keyword(s): Random Walk, Homogenization, Monte Carlo Method, Alternating Pores, Ionic Currents, Cooperating Evacuees.

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.

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Paper citation in several formats:
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 (SIMULTECH 2013) - BIOMED; ISBN 978-989-8565-69-3; ISSN 2184-2841, SciTePress, pages 626-635. DOI: 10.5220/0004620206260635

@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 (SIMULTECH 2013) - BIOMED},
year={2013},
pages={626-635},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004620206260635},
isbn={978-989-8565-69-3},
issn={2184-2841},
}

TY - CONF

JO - Proceedings of the 3rd International Conference on Simulation and Modeling Methodologies, Technologies and Applications (SIMULTECH 2013) - BIOMED
TI - Flux through a Time-periodic Gate - Monte Carlo Test of a Homogenization Result
SN - 978-989-8565-69-3
IS - 2184-2841
AU - Andreucci, D.
AU - Bellaveglia, D.
AU - N. M. Cirillo, E.
AU - Marconi, S.
PY - 2013
SP - 626
EP - 635
DO - 10.5220/0004620206260635
PB - SciTePress

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