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.
Flux through a time-periodic gate: Monte Carlo test of a homogenization result / Andreucci, Daniele; Bellaveglia, D.; Cirillo, Emilio Nicola Maria; Marconi, S.. - STAMPA. - (2013), pp. 626-635. (Intervento presentato al convegno 3rd International Conference on Simulation and Modeling Methodologies, Technologies and Applications, SIMULTECH 2013 tenutosi a Reykjavik; Iceland nel 29 July 2013 through 31 July 2013) [10.5220/0004620206260635].
Flux through a time-periodic gate: Monte Carlo test of a homogenization result
ANDREUCCI, Daniele;CIRILLO, Emilio Nicola Maria;S. Marconi
2013
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
