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

Daniele Andreucci, Dario Bellaveglia, Emilio N. M. Cirillo, Silvia Marconi
2013 Proceedings of the 3rd International Conference on Simulation and Modeling Methodologies, Technologies and Applications  
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
more » ... ained in the literature as the homogenization limit of a suitable diffusion problem.
doi:10.5220/0004620206260635 dblp:conf/simultech/AndreucciBCM13 fatcat:p2zm3hlpffevdk6amhivoulpiy