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Particle-based modeling of flow through obstacles
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0002-1160-0007
2019 (English)In: Complexity science: An introduction / [ed] Mark A. Peletier, Rutger A. van Santen, World Scientific, 2019Chapter in book (Refereed)
Abstract [en]

Particle diffusion is modified by the presence of barriers. In cells macro-molecules, behaving as obstacles, slow down the dynamics so that the mean-square displacement of molecules grows with time as a power law with exponent smaller than one. In different situations, such as grain and pedestrian dynamics, it can happen that an obstacle can accelerate the dynamics. In the framework of very basic models, we study the time needed by particles to cross a strip for different bulk dynamics and discuss the effect of obstacles. We find that in some regimes such a residence time is not monotonic with respect to the size and the position of the obstacles. We can then conclude that, even in very elementary systems where no interaction among particles is considered, obstacles can either slow down or accelerate the particle dynamics depending on their geometry and position.

Place, publisher, year, edition, pages
World Scientific, 2019.
National Category
Robotics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-65989DOI: 10.1142/9789813239609_0013ISBN: 978-981-3239-59-3 (print)ISBN: 978-981-3239-61-6 (electronic)OAI: oai:DiVA.org:kau-65989DiVA, id: diva2:1178218
Available from: 2018-01-29 Created: 2018-01-29 Last updated: 2019-07-03Bibliographically approved

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Muntean, Adrian

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